---
OA_place: repository
OA_type: green
_id: '21870'
abstract:
- lang: eng
  text: Superconducting qubits are a leading candidate for utility-scale quantum computing
    due to their fast gate speeds and steadily decreasing error rates. The requirement
    for millikelvin operating temperatures, however, creates a significant scaling
    bottleneck. Modular architectures using optical fiber links could bridge separate
    cryogenic nodes, but superconducting circuits do not have coherent optical transitions
    and microwave-to-optical conversion has not been shown for any non-classical photon
    state. In this work, we demonstrate the on-demand generation and tomographic reconstruction
    of itinerant single microwave photons at 8.9 GHz from a superconducting qubit.
    We upconvert this non-Gaussian state with a transducer added noise below 0.012
    quanta and count the converted telecom photons at 193.4 THz with a signal-to-noise
    ratio of up to 5.1$\pm$1.1. We characterize the trade-offs between throughput
    and noise, and establish a viable path toward heralded entanglement distribution
    and gate teleportation. Looking ahead, these results empower existing superconducting
    devices to take a key role in distributed quantum technologies and heterogeneous
    quantum systems.
acknowledgement: "We thank Fritz Diorico and Onur Hosten who suggested the filter
  cavity design, and gave important insights about the assembly and the testing of
  the FabryPerot filter cavities. Ekatrina Fedotova and Diego A.\r\nLancheros Naranjo
  worked on the filter cavity setup in\r\nthe early stages of this work. Gustavo Wiederhecker
  and\r\nYiewen Chu provided insights as to the origins of the\r\nobserved optical
  noise and Nicola Carlon Zambon suggested using telecom filters to mitigate it further.
  This\r\nwork was supported by the European Research Council under grant agreement
  no. 101089099 (ERC CoG\r\ncQEO), and 101248662 (ERC POC CoupledEOT), the\r\nEuropean
  Unions Horizon 2020 research and innovation\r\nprogram under grant agreement no.
  899354 (FETopen\r\nSuperQuLAN), the European Innovation Council no.\r\n101187231
  (PathfinderOpen CIELO), and the Austrian\r\nScience Fund (FWF) no. F7105 (SFB BeyondC).
  J.F.\r\nand L.K. acknowledge support from the Horizon Europe\r\nProgram HORIZON-CL4-2022-QUANTUM-01-SGA
  via\r\nProject No. 101113946 OpenSuperQPlus100. A.M. acknowledges support from the
  NOMIS-ISTA fellowship."
article_processing_charge: No
arxiv: 1
author:
- first_name: Thomas
  full_name: Werner, Thomas
  id: 1fcd8497-dba3-11ea-a45e-c6fbd715f7c7
  last_name: Werner
  orcid: 0009-0001-2346-5236
- first_name: Erfan
  full_name: Riyazi, Erfan
  id: 53322f94-5355-11ee-ae5a-ff6f81c87d51
  last_name: Riyazi
- first_name: Samarth
  full_name: Hawaldar, Samarth
  id: 221708e1-1ff6-11ee-9fa6-85146607433e
  last_name: Hawaldar
  orcid: 0000-0002-1965-4309
- first_name: Rishabh
  full_name: Sahu, Rishabh
  id: 47D26E34-F248-11E8-B48F-1D18A9856A87
  last_name: Sahu
  orcid: 0000-0001-6264-2162
- first_name: Georg M
  full_name: Arnold, Georg M
  id: 3770C838-F248-11E8-B48F-1D18A9856A87
  last_name: Arnold
  orcid: 0000-0003-1397-7876
- first_name: Paul Falthansl-Scheinecker
  full_name: Paul Falthansl-Scheinecker, Paul Falthansl-Scheinecker
  last_name: Paul Falthansl-Scheinecker
- first_name: Jennifer A. Sánchez
  full_name: Naranjo, Jennifer A. Sánchez
  last_name: Naranjo
- first_name: Dante
  full_name: Loi, Dante
  last_name: Loi
- first_name: Lucky N.
  full_name: Kapoor, Lucky N.
  last_name: Kapoor
- first_name: Martin
  full_name: Zemlicka, Martin
  id: 2DCF8DE6-F248-11E8-B48F-1D18A9856A87
  last_name: Zemlicka
  orcid: 0009-0005-0878-3032
- first_name: Liu
  full_name: Qiu, Liu
  id: 45e99c0d-1eb1-11eb-9b96-ed8ab2983cac
  last_name: Qiu
  orcid: 0000-0003-4345-4267
- first_name: Andrei
  full_name: Militaru, Andrei
  id: d67706f8-8eb1-11ee-ad1b-9c30dfa19e0b
  last_name: Militaru
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
citation:
  ama: Werner T, Riyazi E, Hawaldar S, et al. Electro-optic conversion of itinerant
    Fock states. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2602.00928">10.48550/arXiv.2602.00928</a>
  apa: Werner, T., Riyazi, E., Hawaldar, S., Sahu, R., Arnold, G. M., Paul Falthansl-Scheinecker,
    P. F.-S., … Fink, J. M. (n.d.). Electro-optic conversion of itinerant Fock states.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2602.00928">https://doi.org/10.48550/arXiv.2602.00928</a>
  chicago: Werner, Thomas, Erfan Riyazi, Samarth Hawaldar, Rishabh Sahu, Georg M Arnold,
    Paul Falthansl-Scheinecker Paul Falthansl-Scheinecker, Jennifer A. Sánchez Naranjo,
    et al. “Electro-Optic Conversion of Itinerant Fock States.” <i>ArXiv</i>, n.d.
    <a href="https://doi.org/10.48550/arXiv.2602.00928">https://doi.org/10.48550/arXiv.2602.00928</a>.
  ieee: T. Werner <i>et al.</i>, “Electro-optic conversion of itinerant Fock states,”
    <i>arXiv</i>. .
  ista: Werner T, Riyazi E, Hawaldar S, Sahu R, Arnold GM, Paul Falthansl-Scheinecker
    PF-S, Naranjo JAS, Loi D, Kapoor LN, Zemlicka M, Qiu L, Militaru A, Fink JM. Electro-optic
    conversion of itinerant Fock states. arXiv, <a href="https://doi.org/10.48550/arXiv.2602.00928">10.48550/arXiv.2602.00928</a>.
  mla: Werner, Thomas, et al. “Electro-Optic Conversion of Itinerant Fock States.”
    <i>ArXiv</i>, doi:<a href="https://doi.org/10.48550/arXiv.2602.00928">10.48550/arXiv.2602.00928</a>.
  short: T. Werner, E. Riyazi, S. Hawaldar, R. Sahu, G.M. Arnold, P.F.-S. Paul Falthansl-Scheinecker,
    J.A.S. Naranjo, D. Loi, L.N. Kapoor, M. Zemlicka, L. Qiu, A. Militaru, J.M. Fink,
    ArXiv (n.d.).
corr_author: '1'
date_created: 2026-05-12T13:58:18Z
date_published: 2026-01-31T00:00:00Z
date_updated: 2026-05-20T13:35:42Z
day: '31'
department:
- _id: JoFi
- _id: GradSch
doi: 10.48550/arXiv.2602.00928
ec_funded: 1
external_id:
  arxiv:
  - '2602.00928'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2602.00928
month: '01'
oa: 1
oa_version: Preprint
project:
- _id: bdadfa0d-d553-11ed-ba76-fb85edbd456a
  grant_number: '101089099'
  name: 'Cavity Quantum Electro Optics: Microwave photonics with nonclassical states'
- _id: 5b807754-ab3d-11f0-914f-ff8c34502cc9
  grant_number: '101248662'
  name: Integrated optical coupling for low loss electro-optic interconnects
- _id: 9B868D20-BA93-11EA-9121-9846C619BF3A
  call_identifier: H2020
  grant_number: '899354'
  name: Quantum Local Area Networks with Superconducting Qubits
- _id: 91aaf765-16d5-11f0-9cad-a8e7e44cccb7
  grant_number: '101187231'
  name: 'Cavity-Integrated Electro-Optics: Measuring, Converting and Manipulating
    Microwaves with Light'
- _id: 26927A52-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: F07105
  name: Integrating superconducting quantum circuits
- _id: 9B861AAC-BA93-11EA-9121-9846C619BF3A
  name: NOMIS Fellowship Program
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '21863'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Electro-optic conversion of itinerant Fock states
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21898'
abstract:
- lang: eng
  text: We investigate the nature and spectroscopic diversity of early galaxies from
    a sample of 41 sources at $z\geqslant 10$ with James Webb Space Telescope (JWST)/NIRSpec
    prism observations. We compare the properties of strong ultraviolet (UV) line
    emitters, traced by intense C iv emission, with those of more ‘typical’ sources
    with weak or undetected C iv. The more typical (or ‘C iv-weak’) sources reveal
    significant scatter in their C iii] line strengths, UV continuum slopes, and physical
    sizes, spanning C iii] equivalent widths (EWs) of $\sim$1–51 Å, UV slopes of $\beta
    \sim -1.6$ to $-2.6$, and half-light radii of $\sim$50–1000 pc. In contrast, C iv-strong
    sources occupy the tail of these distributions, with C iii] EWs of 16–51 Å, UV
    slopes $\beta \lesssim -2.5$, compact morphologies ($r_{\rm 50} \lesssim 100$ pc),
    and elevated star formation surface densities ($\Sigma _{\rm SFR} \gtrsim 100\,
    M_\odot \, \mathrm{yr}^{-1}\, \mathrm{kpc}^{-2}$). These properties suggest concentrated
    starbursts that temporarily outshine the host galaxy. Comparing average properties
    from composite spectra, we find the diversity of the sample is primarily driven
    by bursty star formation on very short time-scales ($\le$3 Myr), with strong C iv
    emitters observed at the apex of the bursts and sources devoid of emission lines
    during relative inactivity. An apparent association between strong C iv and enhanced
    nitrogen abundance suggests both may be modulated by the same duty cycle, reflecting
    a generic mode of star formation. We show that active galactic nuclei are unlikely
    to contribute significantly to this duty cycle based on UV line diagnostics and
    photoionization models. Our results support a picture whereby brief bursts and
    lulls can explain the spectral diversity and early growth of bright galaxies in
    the first 500 Myr.
acknowledgement: "We thank the anonymous referee for useful and constructive\r\nfeedback
  that improved the manuscript. GRB is grateful to Vasily\r\nBelokurov and Sarah Kane
  for providing the relevant abundances\r\nforthe Aurora data in Fig. 11, as well
  asto Tiger Yu-Yang Hsiao for\r\nhelpful discussions regarding the MACS 0647-JD source.
  We are\r\nalso grateful to Gabe Brammerfor useful discussions and his continuous
  efforts in maintaining and improving the msaexp code,\r\nfrom which the high-z community
  continues to benefit greatly.\r\nLastly, we also thank the numerous teams of the
  observational\r\nprograms used in this study, for developing these valuable data\r\nsets.
  The data used in this study are derived from the following\r\nprograms: 1181 (PI
  Eisenstein; D. J. Eisenstein et al. 2023a), 1210\r\n(PI Luetzgendorf; D. J. Eisenstein
  et al. 2023a), 1211 (PI Isaak;\r\nM. V. Maseda et al. 2024), 1286 (PI Luetzgendorf;
  D. J. Eisenstein\r\net al. 2023a), 1287 (PI Isaak; D. J. Eisenstein et al. 2023a),
  1345\r\n(PI Finkelstein; S. L. Finkelstein et al. 2025), 1433 (PI Coe; T. Y.-\r\nY.
  Hsiao et al. 2024a), 2561 (PI Labbé; R. Bezanson et al. 2022),\r\n2750 (PI Arrabal
  Haro; P. Arrabal Haro et al. 2023b), 3073 (PI\r\nCastellano; M. Castellano et al.
  2024), 3215 (PIs Eisenstein &\r\nMaiolino; D. J. Eisenstein et al. 2023b), 5224
  (PIs Oesch & Naidu;\r\nOesch et al. in preparation), 6368 (PI Dickinson; V. Kokorev
  et al.\r\n2025). The authors acknowledge the aforementioned teams and\r\nPIs where
  development of their observing program(s) was done\r\nwith a zero-exclusive-access
  period.\r\nThis work is based on observations made with the\r\nNASA/ESA/CSA JWST.
  The data were obtained from the\r\nMikulski Archive for Space Telescopes at the
  Space Telescope\r\nScience Institute, which is operated by the Association of\r\nUniversities
  for Research in Astronomy, Inc., under NASA\r\ncontract NAS 5-03127 for JWST. The
  specific observations\r\nanalysed can be accessed via DOI 10.17909/jqj3-ws37. Some\r\nof
  the data products presented herein were retrieved from the\r\nDawn JWST Archive
  (DJA). DJA is an initiative of the Cosmic\r\nDawn Center (DAWN), which is funded
  by the Danish National\r\nResearch Foundation under grant DNRF140.\r\nRSE acknowledges
  generous financial support from the Peter\r\nand Patricia Gruber Foundation. YF
  acknowledgessupportsfrom\r\nJSPS KAKENHI Grant Numbers JP22K21349 and JP23K13149.\r\nThis
  work has received funding from the Swiss State Secretariat\r\nfor Education, Research
  and Innovation (SERI) under contract\r\nnumber MB22.00072, as well as from the Swiss
  National Science\r\nFoundation (SNSF) through project grant 200020_207349."
article_number: stag701
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Guido
  full_name: Roberts-Borsani, Guido
  last_name: Roberts-Borsani
- first_name: Pascal A
  full_name: Oesch, Pascal A
  last_name: Oesch
- first_name: Richard
  full_name: Ellis, Richard
  last_name: Ellis
- first_name: Andrea
  full_name: Weibel, Andrea
  last_name: Weibel
- first_name: Emma
  full_name: Giovinazzo, Emma
  last_name: Giovinazzo
- first_name: Rychard
  full_name: Bouwens, Rychard
  last_name: Bouwens
- first_name: Pratika
  full_name: Dayal, Pratika
  last_name: Dayal
- first_name: Adriano
  full_name: Fontana, Adriano
  last_name: Fontana
- first_name: Kasper E
  full_name: Heintz, Kasper E
  last_name: Heintz
- first_name: Jorryt J
  full_name: Matthee, Jorryt J
  id: 7439a258-f3c0-11ec-9501-9df22fe06720
  last_name: Matthee
  orcid: 0000-0003-2871-127X
- first_name: Romain A
  full_name: Meyer, Romain A
  last_name: Meyer
- first_name: Laura
  full_name: Pentericci, Laura
  last_name: Pentericci
- first_name: Alice
  full_name: Shapley, Alice
  last_name: Shapley
- first_name: Sandro
  full_name: Tacchella, Sandro
  last_name: Tacchella
- first_name: Tommaso
  full_name: Treu, Tommaso
  last_name: Treu
- first_name: Fabian
  full_name: Walter, Fabian
  last_name: Walter
- first_name: Hakim
  full_name: Atek, Hakim
  last_name: Atek
- first_name: Sownak
  full_name: Bose, Sownak
  last_name: Bose
- first_name: Marco
  full_name: Castellano, Marco
  last_name: Castellano
- first_name: Yoshinobu
  full_name: Fudamoto, Yoshinobu
  last_name: Fudamoto
- first_name: Takahiro
  full_name: Morishita, Takahiro
  last_name: Morishita
- first_name: Rohan P
  full_name: Naidu, Rohan P
  last_name: Naidu
- first_name: Ryan L
  full_name: Sanders, Ryan L
  last_name: Sanders
- first_name: Arjen
  full_name: van der Wel, Arjen
  last_name: van der Wel
citation:
  ama: 'Roberts-Borsani G, Oesch PA, Ellis R, et al. JWST spectroscopic insights into
    the diversity of galaxies in the first 500 Myr: Short-lived snapshots along a
    common evolutionary pathway. <i>Monthly Notices of the Royal Astronomical Society</i>.
    2026;548(3). doi:<a href="https://doi.org/10.1093/mnras/stag701">10.1093/mnras/stag701</a>'
  apa: 'Roberts-Borsani, G., Oesch, P. A., Ellis, R., Weibel, A., Giovinazzo, E.,
    Bouwens, R., … van der Wel, A. (2026). JWST spectroscopic insights into the diversity
    of galaxies in the first 500 Myr: Short-lived snapshots along a common evolutionary
    pathway. <i>Monthly Notices of the Royal Astronomical Society</i>. Oxford University
    Press. <a href="https://doi.org/10.1093/mnras/stag701">https://doi.org/10.1093/mnras/stag701</a>'
  chicago: 'Roberts-Borsani, Guido, Pascal A Oesch, Richard Ellis, Andrea Weibel,
    Emma Giovinazzo, Rychard Bouwens, Pratika Dayal, et al. “JWST Spectroscopic Insights
    into the Diversity of Galaxies in the First 500 Myr: Short-Lived Snapshots along
    a Common Evolutionary Pathway.” <i>Monthly Notices of the Royal Astronomical Society</i>.
    Oxford University Press, 2026. <a href="https://doi.org/10.1093/mnras/stag701">https://doi.org/10.1093/mnras/stag701</a>.'
  ieee: 'G. Roberts-Borsani <i>et al.</i>, “JWST spectroscopic insights into the diversity
    of galaxies in the first 500 Myr: Short-lived snapshots along a common evolutionary
    pathway,” <i>Monthly Notices of the Royal Astronomical Society</i>, vol. 548,
    no. 3. Oxford University Press, 2026.'
  ista: 'Roberts-Borsani G, Oesch PA, Ellis R, Weibel A, Giovinazzo E, Bouwens R,
    Dayal P, Fontana A, Heintz KE, Matthee JJ, Meyer RA, Pentericci L, Shapley A,
    Tacchella S, Treu T, Walter F, Atek H, Bose S, Castellano M, Fudamoto Y, Morishita
    T, Naidu RP, Sanders RL, van der Wel A. 2026. JWST spectroscopic insights into
    the diversity of galaxies in the first 500 Myr: Short-lived snapshots along a
    common evolutionary pathway. Monthly Notices of the Royal Astronomical Society.
    548(3), stag701.'
  mla: 'Roberts-Borsani, Guido, et al. “JWST Spectroscopic Insights into the Diversity
    of Galaxies in the First 500 Myr: Short-Lived Snapshots along a Common Evolutionary
    Pathway.” <i>Monthly Notices of the Royal Astronomical Society</i>, vol. 548,
    no. 3, stag701, Oxford University Press, 2026, doi:<a href="https://doi.org/10.1093/mnras/stag701">10.1093/mnras/stag701</a>.'
  short: G. Roberts-Borsani, P.A. Oesch, R. Ellis, A. Weibel, E. Giovinazzo, R. Bouwens,
    P. Dayal, A. Fontana, K.E. Heintz, J.J. Matthee, R.A. Meyer, L. Pentericci, A.
    Shapley, S. Tacchella, T. Treu, F. Walter, H. Atek, S. Bose, M. Castellano, Y.
    Fudamoto, T. Morishita, R.P. Naidu, R.L. Sanders, A. van der Wel, Monthly Notices
    of the Royal Astronomical Society 548 (2026).
date_created: 2026-05-20T14:34:29Z
date_published: 2026-05-01T00:00:00Z
date_updated: 2026-05-21T06:16:04Z
day: '01'
ddc:
- '520'
department:
- _id: JoMa
doi: 10.1093/mnras/stag701
external_id:
  arxiv:
  - '2508.21708'
file:
- access_level: open_access
  checksum: b8f52c6fc5e06b3a505310e7d5898ecf
  content_type: application/pdf
  creator: dernst
  date_created: 2026-05-21T06:14:23Z
  date_updated: 2026-05-21T06:14:23Z
  file_id: '21902'
  file_name: 2026_MNRAS_RobertsBorsani.pdf
  file_size: 3539140
  relation: main_file
  success: 1
file_date_updated: 2026-05-21T06:14:23Z
has_accepted_license: '1'
intvolume: '       548'
issue: '3'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Monthly Notices of the Royal Astronomical Society
publication_identifier:
  eissn:
  - 1365-2966
  issn:
  - 0035-8711
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'JWST spectroscopic insights into the diversity of galaxies in the first 500
  Myr: Short-lived snapshots along a common evolutionary pathway'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 548
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21897'
abstract:
- lang: eng
  text: Ultracompact binary systems, consisting of two compact objects in an orbit
    $\lesssim 0.5 {\rm R}_\odot$, should exhibit measurable rates of orbital period
    change ($\dot{P} \ne 0$) due to the emission of gravitational waves (GWs). Measurements
    of $\dot{P}$ have so far been limited to the shortest-period ultracompact binaries
    ($\lesssim 20$  min). Among the AM CVn-type subclass, several works have proposed
    the presence of extra angular momentum loss beyond GW emission, with magnetic
    braking being a widely discussed mechanism. If present, this magnetic braking
    would dominate the angular momentum loss of AM CVn-type binaries with orbital
    periods $\gtrsim 30$ min. In this work, we present a long-term eclipse timing
    study of two AM CVn-type binaries, YZ LMi and Gaia14aae, with respective orbital
    periods of 28.3 min and 49.7 min and continuous observations since 2006 and 2015.
    Both systems show $\dot{P}$ consistent with zero within $2\sigma$. Their $3\sigma$
    upper limits are $1.1 \times 10^{-13}\, {\rm s \, s}^{-1}$ and $9.7 \times 10^{-14}\,
    {\rm s \, s}^{-1}$, respectively. These non-detections are most simply explained
    by a scenario in which secular angular momentum loss is not substantially stronger
    than GW emission at all orbital periods, but is combined with deviations from
    the secular $\dot{P}$ whose time-scales span decades but whose amplitude is $\lesssim
    10^{-13}\, {\rm s \, s}^{-1}$. Our non-detections of $\dot{P}$ represent a limit
    on the strength of any enhanced angular momentum loss beyond pure GW emission.
acknowledgement: "We are grateful to the anonymousreferee fortheirinsightful comments.
  MJG thanks Mitch Begelman and the JILA department at the University of Colorado,
  Boulder, for providing office space at which much of this paper was written. This
  work is supported in part by the United States National Aeronautics and Space Administration
  (NASA) under grants\r\n80NSSC24K0436, 80NSSC22K0479, and 80NSSC24K0380, and the
  United States National Science Foundation (NSF) under grant AST-2508429. VSD and
  HiPERCAM are funded by the Science and Technology Facilities Council (grant ST/Z000033/1).
  IP acknowledges support from the Royal Society through a University Research Fellowship
  (URF\\R1\\231496). This project has received funding from the European Research
  Council under the European Union’s Horizon 2020 research and innovation programme
  (grant agreement numbers 101002408 – MOS100PC). CMC receives funding from United
  Kingdom Research and Innovation grant numbers ST/X005933/1 and ST/W001934/1. This
  article is based in part on observations made in the Observatorios de Canarias del
  Instituto de Astrofísica de Canarias (IAC) with the the William Herschel Telescope
  (WHT) operated on the island of La Palma by the Isaac Newton Group (ING) in the
  Observatorio del Roque de los Muchachos. It is also based in part on observations
  made with the Gran Telescopio Canarias (GTC) under proposal ID GTC18-24A, installed
  at the Spanish Observatorio del Roque de los Muchachos of the Instituto de Astrofísica
  de Canarias, in the island of La Palma. Further data were obtained using the 2.4
  m Thai National Telescope (TNT) operated by the National Astronomy Research Institute
  of Thailand\r\n(NARIT), and the 200-inch Hale Telescope at Palomar Observatory operated
  by the California Institute of Technology. Software packages used in this work include
  the ultracam and hipercam reduction pipelines, lcurve (C. M. Copperwheat et al.
  2010), numpy, astropy, matplotlib, and emcee (D. Foreman-Mackey et al. 2013)."
article_number: stag673
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Matthew J
  full_name: Green, Matthew J
  last_name: Green
- first_name: Thomas R
  full_name: Marsh, Thomas R
  last_name: Marsh
- first_name: Joannes C
  full_name: van Roestel, Joannes C
  id: 4d122fc8-6083-11f0-87a5-97d68b860333
  last_name: van Roestel
- first_name: Tin Long Sunny
  full_name: Wong, Tin Long Sunny
  last_name: Wong
- first_name: Diogo
  full_name: Belloni, Diogo
  last_name: Belloni
- first_name: Mukremin
  full_name: Kilic, Mukremin
  last_name: Kilic
- first_name: Elmé
  full_name: Breedt, Elmé
  last_name: Breedt
- first_name: Alex
  full_name: Brown, Alex
  last_name: Brown
- first_name: Chris M
  full_name: Copperwheat, Chris M
  last_name: Copperwheat
- first_name: Anurak
  full_name: Chakpor, Anurak
  last_name: Chakpor
- first_name: V S
  full_name: Dhillon, V S
  last_name: Dhillon
- first_name: Noel Castro
  full_name: Segura, Noel Castro
  last_name: Segura
- first_name: Martin J
  full_name: Dyer, Martin J
  last_name: Dyer
- first_name: James
  full_name: Garbutt, James
  last_name: Garbutt
- first_name: Dan
  full_name: Jarvis, Dan
  last_name: Jarvis
- first_name: Vasu
  full_name: Kengkriangkrai, Vasu
  last_name: Kengkriangkrai
- first_name: Mark R
  full_name: Kennedy, Mark R
  last_name: Kennedy
- first_name: Paul
  full_name: Kerry, Paul
  last_name: Kerry
- first_name: Thomas
  full_name: Kupfer, Thomas
  last_name: Kupfer
- first_name: S P
  full_name: Littlefair, S P
  last_name: Littlefair
- first_name: James
  full_name: McCormac, James
  last_name: McCormac
- first_name: James
  full_name: Munday, James
  last_name: Munday
- first_name: Steven G
  full_name: Parsons, Steven G
  last_name: Parsons
- first_name: Eleanor
  full_name: Pike, Eleanor
  last_name: Pike
- first_name: Ingrid
  full_name: Pelisoli, Ingrid
  last_name: Pelisoli
- first_name: Pablo
  full_name: Rodríguez-Gil, Pablo
  last_name: Rodríguez-Gil
- first_name: David I
  full_name: Sahman, David I
  last_name: Sahman
- first_name: Amalie
  full_name: Yates, Amalie
  last_name: Yates
citation:
  ama: Green MJ, Marsh TR, van Roestel JC, et al. No period change in two long-period
    AM CVn binaries. <i>Monthly Notices of the Royal Astronomical Society</i>. 2026;548(3).
    doi:<a href="https://doi.org/10.1093/mnras/stag673">10.1093/mnras/stag673</a>
  apa: Green, M. J., Marsh, T. R., van Roestel, J. C., Wong, T. L. S., Belloni, D.,
    Kilic, M., … Yates, A. (2026). No period change in two long-period AM CVn binaries.
    <i>Monthly Notices of the Royal Astronomical Society</i>. Oxford University Press.
    <a href="https://doi.org/10.1093/mnras/stag673">https://doi.org/10.1093/mnras/stag673</a>
  chicago: Green, Matthew J, Thomas R Marsh, Joannes C van Roestel, Tin Long Sunny
    Wong, Diogo Belloni, Mukremin Kilic, Elmé Breedt, et al. “No Period Change in
    Two Long-Period AM CVn Binaries.” <i>Monthly Notices of the Royal Astronomical
    Society</i>. Oxford University Press, 2026. <a href="https://doi.org/10.1093/mnras/stag673">https://doi.org/10.1093/mnras/stag673</a>.
  ieee: M. J. Green <i>et al.</i>, “No period change in two long-period AM CVn binaries,”
    <i>Monthly Notices of the Royal Astronomical Society</i>, vol. 548, no. 3. Oxford
    University Press, 2026.
  ista: Green MJ, Marsh TR, van Roestel JC, Wong TLS, Belloni D, Kilic M, Breedt E,
    Brown A, Copperwheat CM, Chakpor A, Dhillon VS, Segura NC, Dyer MJ, Garbutt J,
    Jarvis D, Kengkriangkrai V, Kennedy MR, Kerry P, Kupfer T, Littlefair SP, McCormac
    J, Munday J, Parsons SG, Pike E, Pelisoli I, Rodríguez-Gil P, Sahman DI, Yates
    A. 2026. No period change in two long-period AM CVn binaries. Monthly Notices
    of the Royal Astronomical Society. 548(3), stag673.
  mla: Green, Matthew J., et al. “No Period Change in Two Long-Period AM CVn Binaries.”
    <i>Monthly Notices of the Royal Astronomical Society</i>, vol. 548, no. 3, stag673,
    Oxford University Press, 2026, doi:<a href="https://doi.org/10.1093/mnras/stag673">10.1093/mnras/stag673</a>.
  short: M.J. Green, T.R. Marsh, J.C. van Roestel, T.L.S. Wong, D. Belloni, M. Kilic,
    E. Breedt, A. Brown, C.M. Copperwheat, A. Chakpor, V.S. Dhillon, N.C. Segura,
    M.J. Dyer, J. Garbutt, D. Jarvis, V. Kengkriangkrai, M.R. Kennedy, P. Kerry, T.
    Kupfer, S.P. Littlefair, J. McCormac, J. Munday, S.G. Parsons, E. Pike, I. Pelisoli,
    P. Rodríguez-Gil, D.I. Sahman, A. Yates, Monthly Notices of the Royal Astronomical
    Society 548 (2026).
date_created: 2026-05-20T14:34:03Z
date_published: 2026-04-09T00:00:00Z
date_updated: 2026-05-21T06:41:41Z
day: '09'
ddc:
- '520'
department:
- _id: IlCa
doi: 10.1093/mnras/stag673
external_id:
  arxiv:
  - '2604.06460'
file:
- access_level: open_access
  checksum: 2c4463926c5cb84ce555ef2005b52ddd
  content_type: application/pdf
  creator: dernst
  date_created: 2026-05-21T06:37:42Z
  date_updated: 2026-05-21T06:37:42Z
  file_id: '21903'
  file_name: 2026_MNRAS_Green.pdf
  file_size: 3960296
  relation: main_file
  success: 1
file_date_updated: 2026-05-21T06:37:42Z
has_accepted_license: '1'
intvolume: '       548'
issue: '3'
keyword:
- 'binaries: close – stars'
- dwarf novae – novae
- cataclysmic variables – white dwarfs
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: Monthly Notices of the Royal Astronomical Society
publication_identifier:
  eissn:
  - 1365-2966
  issn:
  - 0035-8711
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: No period change in two long-period AM CVn binaries
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 548
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '21896'
abstract:
- lang: eng
  text: Redox-mediated flow batteries boost energy density by utilizing dissolved
    redox species as charge carriers for solid charge-storage materials. This strategy
    strongly depends on the thermodynamics and kinetics between the solid booster
    and dissolved redox species. Conventional electrochemical methods often convolute
    intrinsic reactivity with mass transport effects, introducing complexity in determining
    limiting steps. We propose a strategy that confines solid boosters within recessed
    microelectrodes and employs scanning electrochemical microscopy (SECM) to estimate
    reaction kinetics between booster and dissolved active redox species. Confining
    the solid booster in the recessed microelectrode overcomes mass transport limitations
    of dissolved redox species and enables controlled polarization of the booster
    material, allowing deconvolution of key rate-determining factors. As an initial
    model system, Prussian blue-ferricyanide/ferrocyanide [Fe(CN)6]3−/4− was used
    as solid booster and dissolved redox active species, respectively. The methodology
    was further explored for copper hexacyanoferrate with N,N,N-2,2,6,6-heptamethylpiperidinyl
    oxy-4-ammonium chloride and nickel hydroxide with [Fe(CN)6]3−/4− and extended
    to Mn-based Prussian blue analogues in combination with organic redox species.
    Our results demonstrate that SECM coupled with the proposed recessed microelectrode
    strategy provides a powerful platform to disentangle interfacial kinetics and
    guide the rational design of solid booster-dissolved redox species and electrolytes
    for high-performance redox-mediated flow batteries.
acknowledgement: "The authors acknowledge funding from the European Union's Horizon
  Europe research and innovation programme— European Innovation Council (EIC) under
  the grant agreement No 101046742 (MeBattery). P.P. acknowledges the funding from
  the European Research Council through a Starting Grant (agreement no. 950038). Dr.
  Mahdi Moghaddam, University of Turku, is acknowledged for providing the CuHCF, and
  Prof. Hubert Girault, EPFL, is acknowledged for providing the TEMPTMA.\r\nOpen Access
  funding enabled and organized by Projekt DEAL."
article_number: e70303
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Carla
  full_name: Santana Santos, Carla
  last_name: Santana Santos
- first_name: Nomnotho
  full_name: Jiyane, Nomnotho
  last_name: Jiyane
- first_name: Thomas
  full_name: Quast, Thomas
  last_name: Quast
- first_name: Maria
  full_name: Ibáñez, Maria
  id: 43C61214-F248-11E8-B48F-1D18A9856A87
  last_name: Ibáñez
  orcid: 0000-0001-5013-2843
- first_name: Rubén
  full_name: Rubio‐Presa, Rubén
  last_name: Rubio‐Presa
- first_name: Pekka
  full_name: Peljo, Pekka
  last_name: Peljo
- first_name: Wolfgang
  full_name: Schuhmann, Wolfgang
  last_name: Schuhmann
citation:
  ama: Santana Santos C, Jiyane N, Quast T, et al. Evaluating reaction kinetics between
    solid booster and dissolved active species in redox‐mediated flow batteries using
    scanning electrochemical microscopy. <i>Batteries &#38;amp; Supercaps</i>. 2026;9(5).
    doi:<a href="https://doi.org/10.1002/batt.70303">10.1002/batt.70303</a>
  apa: Santana Santos, C., Jiyane, N., Quast, T., Ibáñez, M., Rubio‐Presa, R., Peljo,
    P., &#38; Schuhmann, W. (2026). Evaluating reaction kinetics between solid booster
    and dissolved active species in redox‐mediated flow batteries using scanning electrochemical
    microscopy. <i>Batteries &#38;amp; Supercaps</i>. Wiley. <a href="https://doi.org/10.1002/batt.70303">https://doi.org/10.1002/batt.70303</a>
  chicago: Santana Santos, Carla, Nomnotho Jiyane, Thomas Quast, Maria Ibáñez, Rubén
    Rubio‐Presa, Pekka Peljo, and Wolfgang Schuhmann. “Evaluating Reaction Kinetics
    between Solid Booster and Dissolved Active Species in Redox‐mediated Flow Batteries
    Using Scanning Electrochemical Microscopy.” <i>Batteries &#38;amp; Supercaps</i>.
    Wiley, 2026. <a href="https://doi.org/10.1002/batt.70303">https://doi.org/10.1002/batt.70303</a>.
  ieee: C. Santana Santos <i>et al.</i>, “Evaluating reaction kinetics between solid
    booster and dissolved active species in redox‐mediated flow batteries using scanning
    electrochemical microscopy,” <i>Batteries &#38;amp; Supercaps</i>, vol. 9, no.
    5. Wiley, 2026.
  ista: Santana Santos C, Jiyane N, Quast T, Ibáñez M, Rubio‐Presa R, Peljo P, Schuhmann
    W. 2026. Evaluating reaction kinetics between solid booster and dissolved active
    species in redox‐mediated flow batteries using scanning electrochemical microscopy.
    Batteries &#38;amp; Supercaps. 9(5), e70303.
  mla: Santana Santos, Carla, et al. “Evaluating Reaction Kinetics between Solid Booster
    and Dissolved Active Species in Redox‐mediated Flow Batteries Using Scanning Electrochemical
    Microscopy.” <i>Batteries &#38;amp; Supercaps</i>, vol. 9, no. 5, e70303, Wiley,
    2026, doi:<a href="https://doi.org/10.1002/batt.70303">10.1002/batt.70303</a>.
  short: C. Santana Santos, N. Jiyane, T. Quast, M. Ibáñez, R. Rubio‐Presa, P. Peljo,
    W. Schuhmann, Batteries &#38;amp; Supercaps 9 (2026).
date_created: 2026-05-20T14:32:37Z
date_published: 2026-05-01T00:00:00Z
date_updated: 2026-05-21T06:57:25Z
day: '01'
ddc:
- '530'
department:
- _id: MaIb
doi: 10.1002/batt.70303
file:
- access_level: open_access
  checksum: 292d65503a63cc7df92b960627634dad
  content_type: application/pdf
  creator: dernst
  date_created: 2026-05-21T06:54:57Z
  date_updated: 2026-05-21T06:54:57Z
  file_id: '21904'
  file_name: 2026_BatteriesSupercaps_SantanaSantos.pdf
  file_size: 756344
  relation: main_file
  success: 1
file_date_updated: 2026-05-21T06:54:57Z
has_accepted_license: '1'
intvolume: '         9'
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Batteries &amp; Supercaps
publication_identifier:
  eissn:
  - 2566-6223
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evaluating reaction kinetics between solid booster and dissolved active species
  in redox‐mediated flow batteries using scanning electrochemical microscopy
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21895'
abstract:
- lang: eng
  text: The mammalian brain organises knowledge about entities in the world and relationships
    between them using cognitive maps. When forming a cognitive map, there is a necessary
    trade-off between extending the map to make novel inferences, and storing a veridical
    copy of past experience. However, the neural mechanisms that control this trade-off
    remain unknown. Using a cross-scale approach that combines a pharmacological intervention
    in humans with neural network modelling, we show that the neuromodulator noradrenaline
    elicits a significant ‘spread of association’ across hippocampal cognitive maps.
    This neural spread of association can be explained by changes in synaptic plasticity
    that predict overgeneralisation in behaviour. Thus, elevated noradrenaline during
    learning increases the ‘smoothing kernel’ for plasticity across the cognitive
    map, allowing disparate memories to become linked and distorted.
acknowledgement: 'We would like to thank Chamith Halahakoon, Phil Cowen, Angharad
  De Cates, Beata Godlewska, Riccardo De Giorgi, Katherine Smith and Edoardo Ostinelli
  for enabling this study by providing medical cover. We would like to thank Douglas
  F. Tomé and Everton J. Agnes for their guidance and advice with earlier versions
  of the neural network model. We would like to thank Rob Froemke for helpful discussion
  when preparing the experiments. We thank Leonie Glitz and Valentina Mancini for
  comments on an earlier version of the manuscript. R.S.K. was supported by an EPSRC/MRC-funded
  studentship (EP/L016052/1). P.P. was supported by the Cambridge Trust, Trinity Henry
  Barlow Scholarship and Trinity Hall Brockhouse Scholarship. L.C. is supported by
  the Foundation for Science and Technology (FCT) (Portuguese State Budget: UID/PSI/01662/2020;
  Research fellowship: 2021.00415.CEECIND). W.T.C. is funded by the Wellcome Trust
  [225924/Z/22/Z]. H.C.B. is supported by a UKRI Future Leaders Fellowship (MR/W008939/1)
  and the Wellcome Institutional Strategic Support Fund. H.C.B. and J.X.O. are supported
  by the Medical Research Council (MR/W01971X/1). The study was supported by the NIHR
  Oxford Health Biomedical Research Centre (NIHR203316). The views expressed are those
  of the author(s) and not necessarily those of the NIHR or the Department of Health
  and Social Care. The Wellcome Centre for Integrative Neuroimaging is supported by
  core funding from the Wellcome Trust (203139/Z/16/Z and 203139/A/16/Z). This research
  was funded in part by the Wellcome Trust. For the purpose of open access, the author(s)
  have applied a CC BY public copyright license to any Author Accepted Manuscript
  version arising from this submission.'
article_number: '3961'
article_processing_charge: Yes
article_type: original
author:
- first_name: Renée S.
  full_name: Koolschijn, Renée S.
  last_name: Koolschijn
- first_name: Prakriti
  full_name: Parthasarathy, Prakriti
  last_name: Parthasarathy
- first_name: Michael
  full_name: Browning, Michael
  last_name: Browning
- first_name: Xenia
  full_name: Przygodda, Xenia
  last_name: Przygodda
- first_name: Liliana P.
  full_name: Capitão, Liliana P.
  last_name: Capitão
- first_name: William T.
  full_name: Clarke, William T.
  last_name: Clarke
- first_name: Tim P
  full_name: Vogels, Tim P
  id: CB6FF8D2-008F-11EA-8E08-2637E6697425
  last_name: Vogels
  orcid: 0000-0003-3295-6181
- first_name: Jill X.
  full_name: O’Reilly, Jill X.
  last_name: O’Reilly
- first_name: Helen C.
  full_name: Barron, Helen C.
  last_name: Barron
citation:
  ama: Koolschijn RS, Parthasarathy P, Browning M, et al. Noradrenaline causes a spread
    of association in the hippocampal cognitive map. <i>Nature Communications</i>.
    2026;17. doi:<a href="https://doi.org/10.1038/s41467-026-70659-x">10.1038/s41467-026-70659-x</a>
  apa: Koolschijn, R. S., Parthasarathy, P., Browning, M., Przygodda, X., Capitão,
    L. P., Clarke, W. T., … Barron, H. C. (2026). Noradrenaline causes a spread of
    association in the hippocampal cognitive map. <i>Nature Communications</i>. Springer
    Nature. <a href="https://doi.org/10.1038/s41467-026-70659-x">https://doi.org/10.1038/s41467-026-70659-x</a>
  chicago: Koolschijn, Renée S., Prakriti Parthasarathy, Michael Browning, Xenia Przygodda,
    Liliana P. Capitão, William T. Clarke, Tim P Vogels, Jill X. O’Reilly, and Helen
    C. Barron. “Noradrenaline Causes a Spread of Association in the Hippocampal Cognitive
    Map.” <i>Nature Communications</i>. Springer Nature, 2026. <a href="https://doi.org/10.1038/s41467-026-70659-x">https://doi.org/10.1038/s41467-026-70659-x</a>.
  ieee: R. S. Koolschijn <i>et al.</i>, “Noradrenaline causes a spread of association
    in the hippocampal cognitive map,” <i>Nature Communications</i>, vol. 17. Springer
    Nature, 2026.
  ista: Koolschijn RS, Parthasarathy P, Browning M, Przygodda X, Capitão LP, Clarke
    WT, Vogels TP, O’Reilly JX, Barron HC. 2026. Noradrenaline causes a spread of
    association in the hippocampal cognitive map. Nature Communications. 17, 3961.
  mla: Koolschijn, Renée S., et al. “Noradrenaline Causes a Spread of Association
    in the Hippocampal Cognitive Map.” <i>Nature Communications</i>, vol. 17, 3961,
    Springer Nature, 2026, doi:<a href="https://doi.org/10.1038/s41467-026-70659-x">10.1038/s41467-026-70659-x</a>.
  short: R.S. Koolschijn, P. Parthasarathy, M. Browning, X. Przygodda, L.P. Capitão,
    W.T. Clarke, T.P. Vogels, J.X. O’Reilly, H.C. Barron, Nature Communications 17
    (2026).
date_created: 2026-05-20T14:30:37Z
date_published: 2026-05-01T00:00:00Z
date_updated: 2026-05-21T07:05:01Z
day: '01'
ddc:
- '570'
department:
- _id: TiVo
doi: 10.1038/s41467-026-70659-x
external_id:
  pmid:
  - '41832186'
file:
- access_level: open_access
  checksum: 1b529e06b1c5d6e085d60743317fd4f9
  content_type: application/pdf
  creator: dernst
  date_created: 2026-05-21T07:01:35Z
  date_updated: 2026-05-21T07:01:35Z
  file_id: '21905'
  file_name: 2026_NatureComm_Koolschijn.pdf
  file_size: 2059139
  relation: main_file
  success: 1
file_date_updated: 2026-05-21T07:01:35Z
has_accepted_license: '1'
intvolume: '        17'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
pmid: 1
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Noradrenaline causes a spread of association in the hippocampal cognitive map
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '21899'
abstract:
- lang: eng
  text: Cell extrusion is an essential mechanism for controlling cell density in epithelial
    tissues. Another essential element of epithelia is curvature, which is required
    to achieve complex shapes, like in the lung or intestine. Here, we introduce a
    three-dimensional bubbly vertex model to study the interplay between extrusion
    and curvature. We find a generic cellular bulging instability at topological defects,
    which is much stronger than for standard vertex models. Analyzing cell shapes
    in three-dimensional imaging data of spherical mouse colon organoids, we infer
    that pentagonal cells have an increased basal interfacial tension, suggesting
    that cells at topological defects react to the different force conditions. Using
    the bubbly vertex model, we show that such basal tensions stabilize against the
    predicted instability and result in better cell shape control than tissue-scale
    mechanisms such as lumen pressure and spontaneous curvature. Our theory suggests
    that epithelial curvature naturally leads to bulged and extrusionlike cell shapes
    because the interfacial curvature of individual cells at the defects strongly
    amplifies buckling effected by tissue-scale topological defects in elastic sheets.
    Our results highlight the complex interplay of forces across scales in three-dimensional
    tissue organization.
acknowledgement: O. M. D., M. B., and U.S. S. acknowledge support from the Max Planck
  School Matter to Life, with funding by the German Federal Ministry of Education
  and Research (BMBF), the Dieter Schwarz Foundation, and the Max Planck Society.
  M. B. and U.S. S. acknowledge support from the cluster of excellence 3DMM2O (EXC
  2082/1-390761711 and EXC 2082/2-390761711) funded by the Deutsche Forschungsgemeinschaft
  (DFG, German Research Foundation). The authors acknowledge the data storage service
  SDS@hd supported by the Ministry of Science, Research and the Arts Baden-Württemberg
  (MWK) and the DFG through Grant No. INST 35/1503-1 FUGG. For the publication fee
  we acknowledge financial support by Heidelberg University. O. M. D. thanks Edouard
  Hannezo for valuable discussions. U.S. S. is a member of the Interdisciplinary Center
  for Scientific Computing (IWR) at Heidelberg.
article_number: '021023'
article_processing_charge: Yes
article_type: original
author:
- first_name: Oliver M
  full_name: Drozdowski, Oliver M
  id: cd4ed792-b872-11ef-bb90-b7b3a3f62f75
  last_name: Drozdowski
- first_name: Büşra
  full_name: "Kocameşe-Tamgac\U0001D6A4, Büşra"
  last_name: "Kocameşe-Tamgac\U0001D6A4"
- first_name: Kim E.
  full_name: Boonekamp, Kim E.
  last_name: Boonekamp
- first_name: Michael
  full_name: Boutros, Michael
  last_name: Boutros
- first_name: Ulrich S.
  full_name: Schwarz, Ulrich S.
  last_name: Schwarz
citation:
  ama: "Drozdowski OM, Kocameşe-Tamgac\U0001D6A4 B, Boonekamp KE, Boutros M, Schwarz
    US. Cell bulging and extrusion in a three-dimensional bubbly vertex model for
    curved epithelial sheets. <i>Physical Review X</i>. 2026;16(2). doi:<a href=\"https://doi.org/10.1103/x82g-cq7n\">10.1103/x82g-cq7n</a>"
  apa: "Drozdowski, O. M., Kocameşe-Tamgac\U0001D6A4, B., Boonekamp, K. E., Boutros,
    M., &#38; Schwarz, U. S. (2026). Cell bulging and extrusion in a three-dimensional
    bubbly vertex model for curved epithelial sheets. <i>Physical Review X</i>. American
    Physical Society. <a href=\"https://doi.org/10.1103/x82g-cq7n\">https://doi.org/10.1103/x82g-cq7n</a>"
  chicago: "Drozdowski, Oliver M, Büşra Kocameşe-Tamgac\U0001D6A4, Kim E. Boonekamp,
    Michael Boutros, and Ulrich S. Schwarz. “Cell Bulging and Extrusion in a Three-Dimensional
    Bubbly Vertex Model for Curved Epithelial Sheets.” <i>Physical Review X</i>. American
    Physical Society, 2026. <a href=\"https://doi.org/10.1103/x82g-cq7n\">https://doi.org/10.1103/x82g-cq7n</a>."
  ieee: "O. M. Drozdowski, B. Kocameşe-Tamgac\U0001D6A4, K. E. Boonekamp, M. Boutros,
    and U. S. Schwarz, “Cell bulging and extrusion in a three-dimensional bubbly vertex
    model for curved epithelial sheets,” <i>Physical Review X</i>, vol. 16, no. 2.
    American Physical Society, 2026."
  ista: "Drozdowski OM, Kocameşe-Tamgac\U0001D6A4 B, Boonekamp KE, Boutros M, Schwarz
    US. 2026. Cell bulging and extrusion in a three-dimensional bubbly vertex model
    for curved epithelial sheets. Physical Review X. 16(2), 021023."
  mla: Drozdowski, Oliver M., et al. “Cell Bulging and Extrusion in a Three-Dimensional
    Bubbly Vertex Model for Curved Epithelial Sheets.” <i>Physical Review X</i>, vol.
    16, no. 2, 021023, American Physical Society, 2026, doi:<a href="https://doi.org/10.1103/x82g-cq7n">10.1103/x82g-cq7n</a>.
  short: "O.M. Drozdowski, B. Kocameşe-Tamgac\U0001D6A4, K.E. Boonekamp, M. Boutros,
    U.S. Schwarz, Physical Review X 16 (2026)."
date_created: 2026-05-20T14:35:57Z
date_published: 2026-04-30T00:00:00Z
date_updated: 2026-05-21T06:08:11Z
day: '30'
ddc:
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department:
- _id: EdHa
doi: 10.1103/x82g-cq7n
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- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Cell bulging and extrusion in a three-dimensional bubbly vertex model for curved
  epithelial sheets
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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  short: CC BY (4.0)
type: journal_article
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volume: 16
year: '2026'
...
---
OA_type: closed access
_id: '21900'
abstract:
- lang: eng
  text: Individually silencing 125 fruit fly genes reveals opposing fitness effects
    of mutations between females and males, as well as between germline and somatic
    tissues.
article_processing_charge: No
article_type: comment
author:
- first_name: Filip
  full_name: Ruzicka, Filip
  id: 347955dd-57b0-11ee-9095-c28bdd368f4b
  last_name: Ruzicka
citation:
  ama: Ruzicka F. Reverse genetics of sexual antagonism. <i>Nature Ecology &#38; Evolution</i>.
    2026. doi:<a href="https://doi.org/10.1038/s41559-026-03036-y">10.1038/s41559-026-03036-y</a>
  apa: Ruzicka, F. (2026). Reverse genetics of sexual antagonism. <i>Nature Ecology
    &#38; Evolution</i>. Springer Nature. <a href="https://doi.org/10.1038/s41559-026-03036-y">https://doi.org/10.1038/s41559-026-03036-y</a>
  chicago: Ruzicka, Filip. “Reverse Genetics of Sexual Antagonism.” <i>Nature Ecology
    &#38; Evolution</i>. Springer Nature, 2026. <a href="https://doi.org/10.1038/s41559-026-03036-y">https://doi.org/10.1038/s41559-026-03036-y</a>.
  ieee: F. Ruzicka, “Reverse genetics of sexual antagonism,” <i>Nature Ecology &#38;
    Evolution</i>. Springer Nature, 2026.
  ista: Ruzicka F. 2026. Reverse genetics of sexual antagonism. Nature Ecology &#38;
    Evolution.
  mla: Ruzicka, Filip. “Reverse Genetics of Sexual Antagonism.” <i>Nature Ecology
    &#38; Evolution</i>, Springer Nature, 2026, doi:<a href="https://doi.org/10.1038/s41559-026-03036-y">10.1038/s41559-026-03036-y</a>.
  short: F. Ruzicka, Nature Ecology &#38; Evolution (2026).
corr_author: '1'
date_created: 2026-05-20T14:36:45Z
date_published: 2026-05-01T00:00:00Z
date_updated: 2026-05-21T05:49:25Z
day: '01'
department:
- _id: BeVi
doi: 10.1038/s41559-026-03036-y
language:
- iso: eng
month: '05'
oa_version: None
publication: Nature Ecology & Evolution
publication_identifier:
  eissn:
  - 2397-334X
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Reverse genetics of sexual antagonism
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
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OA_place: publisher
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_id: '21894'
abstract:
- lang: eng
  text: "The Dean–Kawasaki equation—one of the most fundamental SPDEs of\r\nfluctuating
    hydrodynamics—has been proposed as a model for density fluctuations in weakly
    interacting particle systems. In its original form, it is highly\r\nsingular and
    fails to be renormalizable, even by approaches such as regularity structures and
    paracontrolled distributions, hindering mathematical approaches to its rigorous
    justification. It has been understood recently that it is\r\nnatural to introduce
    a suitable regularization, for example, by applying a formal spatial discretization
    or by truncating high-frequency noise: This yields\r\nwell-posed equations that
    should still precisely approximate the law of the\r\nparticle density fluctuations.\r\nIn
    the present work, we prove that a regularization in the form of a formal\r\ndiscretization
    of the Dean–Kawasaki equation indeed accurately describes\r\ndensity fluctuations
    in systems of weakly interacting diffusing particles: We\r\nshow that, in suitable
    weak metrics, the law of fluctuations as predicted by\r\nthe discretized Dean–Kawasaki
    SPDE approximates the law of fluctuations\r\nof the original particle system,
    up to an error that is of arbitrarily high order in\r\nthe inverse particle number
    and a discretization error. In particular, the Dean–\r\nKawasaki equation provides
    a means for efficient and accurate simulations of\r\ndensity fluctuations in weakly
    interacting particle systems."
acknowledgement: All authors gratefully acknowledge funding from the Austrian Science
  Fund (FWF) through the project F65. CR gratefully acknowledges support from the
  Austrian Science Fund (FWF), grants P30000, P33010, W1245. FC gratefully acknowledges
  funding from the European Union’s Horizon 2020 research and innovation programme
  under the Marie Skłodowska-Curie grant agreement No. 754411.
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Federico
  full_name: Cornalba, Federico
  last_name: Cornalba
- first_name: Julian L
  full_name: Fischer, Julian L
  id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
  last_name: Fischer
  orcid: 0000-0002-0479-558X
- first_name: Jonas
  full_name: Ingmanns, Jonas
  id: 71523d30-15b2-11ec-abd3-f80aa909d6b0
  last_name: Ingmanns
  orcid: 0009-0008-1310-7946
- first_name: Claudia
  full_name: Raithel, Claudia
  last_name: Raithel
citation:
  ama: Cornalba F, Fischer JL, Ingmanns J, Raithel C. Density fluctuations in weakly
    interacting particle systems via the Dean–Kawasaki equation. <i>The Annals of
    Probability</i>. 2026;54(1):155-215. doi:<a href="https://doi.org/10.1214/25-aop1763">10.1214/25-aop1763</a>
  apa: Cornalba, F., Fischer, J. L., Ingmanns, J., &#38; Raithel, C. (2026). Density
    fluctuations in weakly interacting particle systems via the Dean–Kawasaki equation.
    <i>The Annals of Probability</i>. Institute of Mathematical Statistics. <a href="https://doi.org/10.1214/25-aop1763">https://doi.org/10.1214/25-aop1763</a>
  chicago: Cornalba, Federico, Julian L Fischer, Jonas Ingmanns, and Claudia Raithel.
    “Density Fluctuations in Weakly Interacting Particle Systems via the Dean–Kawasaki
    Equation.” <i>The Annals of Probability</i>. Institute of Mathematical Statistics,
    2026. <a href="https://doi.org/10.1214/25-aop1763">https://doi.org/10.1214/25-aop1763</a>.
  ieee: F. Cornalba, J. L. Fischer, J. Ingmanns, and C. Raithel, “Density fluctuations
    in weakly interacting particle systems via the Dean–Kawasaki equation,” <i>The
    Annals of Probability</i>, vol. 54, no. 1. Institute of Mathematical Statistics,
    pp. 155–215, 2026.
  ista: Cornalba F, Fischer JL, Ingmanns J, Raithel C. 2026. Density fluctuations
    in weakly interacting particle systems via the Dean–Kawasaki equation. The Annals
    of Probability. 54(1), 155–215.
  mla: Cornalba, Federico, et al. “Density Fluctuations in Weakly Interacting Particle
    Systems via the Dean–Kawasaki Equation.” <i>The Annals of Probability</i>, vol.
    54, no. 1, Institute of Mathematical Statistics, 2026, pp. 155–215, doi:<a href="https://doi.org/10.1214/25-aop1763">10.1214/25-aop1763</a>.
  short: F. Cornalba, J.L. Fischer, J. Ingmanns, C. Raithel, The Annals of Probability
    54 (2026) 155–215.
corr_author: '1'
date_created: 2026-05-20T08:25:25Z
date_published: 2026-01-01T00:00:00Z
date_updated: 2026-05-21T07:21:25Z
day: '01'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1214/25-aop1763
ec_funded: 1
external_id:
  arxiv:
  - '2303.00429'
file:
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file_date_updated: 2026-05-21T07:11:27Z
has_accepted_license: '1'
intvolume: '        54'
issue: '1'
keyword:
- Weakly interacting particle systems
- fluctuating hydrodynamics
- Dean-Kawasaki equation
- stochastic PDEs
- numerical approximation
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 155-215
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: The Annals of Probability
publication_identifier:
  eissn:
  - 2168-894X
  issn:
  - 0091-1798
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Density fluctuations in weakly interacting particle systems via the Dean–Kawasaki
  equation
tmp:
  image: /images/cc_by.png
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  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 54
year: '2026'
...
---
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abstract:
- lang: eng
  text: "An accurate characterisation of the physical properties of galaxies at cosmic
    dawn is key to understanding\r\nthe origin of the high abundance of UV-bright
    galaxies at z≳10. We exploit deep (9.1-hour exposure time)\r\nNIRSpec PRISM observations
    of GHZ2 to constrain the sources of ionising radiation and the properties of the\r\ninterstellar
    medium (ISM) in this bright, compact, and highly ionising galaxy at z=12.3. We
    measure with\r\nhigh significance the prominent N IV, C IV, He II, O III, C III,
    O II, and Ne III emission features previously\r\ndetected in shallower observations,
    and confirm the detection of the N III] λ1750 multiplet, yielding tight\r\nconstraints
    on the N/O ratio, which is found to be ≃2 times the solar value. We also detect
    the Mg II λ2800,\r\n[Fe IV] λ2833 and Si II λ1812 doublets, the H8+HeI λλ3889
    blend, and the Si IV+O IV] λλ1400 absorption\r\ncomplex. The O III λ3133 fluorescence
    line is only detected in the first observing epoch, implying variability\r\non
    a rest-frame time span of 19 days, strongly suggesting the presence of an active
    nucleus. Combining the\r\nNIRSpec dataset with available optical and far-infrared
    constraints from MIRI and ALMA, we show that the\r\nemission spectrum of GHZ2
    cannot be reproduced by single-density spectro-photometric models, even under\r\nextreme
    assumptions on the ionisation parameter and electron density. Multi-zone photoionisation
    modelling\r\nperformed with the HOMERUN code demonstrates that star formation
    must be occurring in a strongly stratified\r\nISM, where both low-/intermediate-density
    gas and high-density regions (log(ne/cm−3\r\n) ≳ 4) coexist. The\r\nGHZ2 emission
    landscape is consistent with either a composite star-formation plus AGN scenario,
    or with\r\nstar formation occurring in a combination of radiation- and matter-bounded
    regions. Purely radiation-bounded\r\nstellar models fail to reproduce the observed
    He II emission, making an additional hard ionising component\r\nunavoidable."
acknowledgement: "We thank the referee for the constructive comments that\r\nhelped
  us improve the manuscript. We thank S. Finkelstein,\r\nY. Harikane, C. Mason, and
  D. Stark for the useful comments.\r\nWe thank Tony Roman (Program Coordinator) and
  Glenn\r\nWahlgren (NIRSpec reviewer) for the assistance in the\r\npreparation of
  GO-3073 observations. This work is based\r\non observations made with the NASA/ESA/CSA
  James\r\nWebb Space Telescope (JWST). The JWST data presented in this article were
  obtained from the Mikulski Archive for\r\nSpace Telescopes (MAST) at the Space Telescope
  Science\r\nInstitute. The specific observations analysed are associated with program
  JWST-GO-3073 and can be accessed\r\nvia https://doi.org/10.17909/4r6b-bx96 (first
  pointing) and\r\nhttps://doi:10.17909/zq4g-r525 (second pointing). We\r\nacknowledge
  financial support from NASA through grant\r\nJWST-ERS-1324 and JWST-GO-3073. Support
  was also\r\nprovided by the PRIN 2022 MUR project 2022CB3PJ3 –\r\nFirst Light And
  Galaxy aSsembly (FLAGS) funded by the\r\nEuropean Union – Next Generation EU, by
  INAF GO Grant\r\n2024 ”Revealing the nature of bright galaxies at cosmic\r\ndawn
  with deep JWST spectroscopy”, by INAF Mini-grant\r\n2022 “Reionization and Fundamental
  Cosmology with\r\nHigh-Redshift Galaxies”, and by INAF Large Grant 2022\r\n“Extragalactic
  Surveys with JWST”. L.N. acknowledges\r\nsupport from grant “Progetti per Avvio
  alla Ricerca - Tipo\r\n1, Unveiling Cosmic Dawn: Galaxy Evolution with CAPERS” (AR1241906F947685).
  EV acknowledges financial\r\nsupport through grants INAF GO Grant 2024 “Mapping
  Star\r\nCluster Feedback in a Galaxy 450 Myr after the Big Bang”\r\nand by the European
  Union – NextGenerationEU within\r\nPRIN 2022 project n.20229YBSAN - Globular clusters\r\nin
  cosmological simulations and lensed fields: from their\r\nbirth to the present epoch.
  AM acknowledges support\r\nfrom project PRIN-MUR project “PROMETEUS” financed\r\nby
  the European Union - Next Generation EU, Mission 4\r\nComponent 1 CUP B53D2300475000.
  AM acknowledges\r\nsupport from Ricerca Fondamentale INAF under Mini Grant\r\n2023
  ”Quantitative Spectroscopy of Ionized Nebulae and\r\nGalaxies (QSING)” and under
  Data Analysis Grant 2024\r\n“Accurate measurements of metallicity in galaxies with
  a new\r\napproach to photoionization modelling”."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: M.
  full_name: Castellano, M.
  last_name: Castellano
- first_name: L.
  full_name: Napolitano, L.
  last_name: Napolitano
- first_name: B.
  full_name: Moreschini, B.
  last_name: Moreschini
- first_name: A.
  full_name: Calabrò, A.
  last_name: Calabrò
- first_name: L.
  full_name: Christensen, L.
  last_name: Christensen
- first_name: M.
  full_name: Llerena, M.
  last_name: Llerena
- first_name: T. J.L.C.
  full_name: Bakx, T. J.L.C.
  last_name: Bakx
- first_name: F.
  full_name: Belfiore, F.
  last_name: Belfiore
- first_name: D.
  full_name: Bevacqua, D.
  last_name: Bevacqua
- first_name: M.
  full_name: Dickinson, M.
  last_name: Dickinson
- first_name: A.
  full_name: Fontana, A.
  last_name: Fontana
- first_name: G.
  full_name: Gandolfi, G.
  last_name: Gandolfi
- first_name: T.
  full_name: Gasparetto, T.
  last_name: Gasparetto
- first_name: A.
  full_name: Marconi, A.
  last_name: Marconi
- first_name: Sara
  full_name: Mascia, Sara
  id: edaf889c-c7cd-11ef-ab1b-bb28c431bd29
  last_name: Mascia
- first_name: E.
  full_name: Merlin, E.
  last_name: Merlin
- first_name: T.
  full_name: Morishita, T.
  last_name: Morishita
- first_name: T.
  full_name: Nanayakkara, T.
  last_name: Nanayakkara
- first_name: D.
  full_name: Paris, D.
  last_name: Paris
- first_name: L.
  full_name: Pentericci, L.
  last_name: Pentericci
- first_name: B.
  full_name: Pérez-Díaz, B.
  last_name: Pérez-Díaz
- first_name: G.
  full_name: Roberts-Borsani, G.
  last_name: Roberts-Borsani
- first_name: S.
  full_name: Rojas-Ruiz, S.
  last_name: Rojas-Ruiz
- first_name: P.
  full_name: Santini, P.
  last_name: Santini
- first_name: T.
  full_name: Treu, T.
  last_name: Treu
- first_name: E.
  full_name: Vanzella, E.
  last_name: Vanzella
- first_name: B.
  full_name: Vulcani, B.
  last_name: Vulcani
- first_name: X.
  full_name: Wang, X.
  last_name: Wang
- first_name: I.
  full_name: Yoon, I.
  last_name: Yoon
- first_name: J.
  full_name: Zavala, J.
  last_name: Zavala
citation:
  ama: Castellano M, Napolitano L, Moreschini B, et al. Investigating ionising sources
    and the complex interstellar medium of GHZ2 at z=12.3. <i>The Open Journal of
    Astrophysics</i>. 2026;9. doi:<a href="https://doi.org/10.33232/001c.160281">10.33232/001c.160281</a>
  apa: Castellano, M., Napolitano, L., Moreschini, B., Calabrò, A., Christensen, L.,
    Llerena, M., … Zavala, J. (2026). Investigating ionising sources and the complex
    interstellar medium of GHZ2 at z=12.3. <i>The Open Journal of Astrophysics</i>.
    Maynooth Academic Publishing. <a href="https://doi.org/10.33232/001c.160281">https://doi.org/10.33232/001c.160281</a>
  chicago: Castellano, M., L. Napolitano, B. Moreschini, A. Calabrò, L. Christensen,
    M. Llerena, T. J.L.C. Bakx, et al. “Investigating Ionising Sources and the Complex
    Interstellar Medium of GHZ2 at Z=12.3.” <i>The Open Journal of Astrophysics</i>.
    Maynooth Academic Publishing, 2026. <a href="https://doi.org/10.33232/001c.160281">https://doi.org/10.33232/001c.160281</a>.
  ieee: M. Castellano <i>et al.</i>, “Investigating ionising sources and the complex
    interstellar medium of GHZ2 at z=12.3,” <i>The Open Journal of Astrophysics</i>,
    vol. 9. Maynooth Academic Publishing, 2026.
  ista: Castellano M, Napolitano L, Moreschini B, Calabrò A, Christensen L, Llerena
    M, Bakx TJLC, Belfiore F, Bevacqua D, Dickinson M, Fontana A, Gandolfi G, Gasparetto
    T, Marconi A, Mascia S, Merlin E, Morishita T, Nanayakkara T, Paris D, Pentericci
    L, Pérez-Díaz B, Roberts-Borsani G, Rojas-Ruiz S, Santini P, Treu T, Vanzella
    E, Vulcani B, Wang X, Yoon I, Zavala J. 2026. Investigating ionising sources and
    the complex interstellar medium of GHZ2 at z=12.3. The Open Journal of Astrophysics.
    9.
  mla: Castellano, M., et al. “Investigating Ionising Sources and the Complex Interstellar
    Medium of GHZ2 at Z=12.3.” <i>The Open Journal of Astrophysics</i>, vol. 9, Maynooth
    Academic Publishing, 2026, doi:<a href="https://doi.org/10.33232/001c.160281">10.33232/001c.160281</a>.
  short: M. Castellano, L. Napolitano, B. Moreschini, A. Calabrò, L. Christensen,
    M. Llerena, T.J.L.C. Bakx, F. Belfiore, D. Bevacqua, M. Dickinson, A. Fontana,
    G. Gandolfi, T. Gasparetto, A. Marconi, S. Mascia, E. Merlin, T. Morishita, T.
    Nanayakkara, D. Paris, L. Pentericci, B. Pérez-Díaz, G. Roberts-Borsani, S. Rojas-Ruiz,
    P. Santini, T. Treu, E. Vanzella, B. Vulcani, X. Wang, I. Yoon, J. Zavala, The
    Open Journal of Astrophysics 9 (2026).
date_created: 2026-05-31T22:02:14Z
date_published: 2026-04-09T00:00:00Z
date_updated: 2026-06-02T06:39:53Z
day: '09'
ddc:
- '520'
department:
- _id: JoMa
doi: 10.33232/001c.160281
external_id:
  arxiv:
  - '2512.08490'
file:
- access_level: open_access
  checksum: ec33ca56b8836c61cb01e26893d43cbf
  content_type: application/pdf
  creator: dernst
  date_created: 2026-06-02T06:38:59Z
  date_updated: 2026-06-02T06:38:59Z
  file_id: '21935'
  file_name: 2026_OpenJourAstrophysics_Castellano.pdf
  file_size: 4855934
  relation: main_file
  success: 1
file_date_updated: 2026-06-02T06:38:59Z
has_accepted_license: '1'
intvolume: '         9'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: The Open Journal of Astrophysics
publication_identifier:
  eissn:
  - 2565-6120
publication_status: published
publisher: Maynooth Academic Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Investigating ionising sources and the complex interstellar medium of GHZ2
  at z=12.3
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21928'
abstract:
- lang: eng
  text: Antibiotic combination in time and space is a key strategy to combat antimicrobial
    resistance. The success of such treatment designs requires their robust efficacy
    across treatment conditions and a pathogen’s genomic diversity. This study found
    that an initial treatment with a β-lactam antibiotic causes robust cellular sensitization
    towards an aminoglycoside antibiotic across the high-risk human pathogen Pseudomonas
    aeruginosa, including resistant strains. This phenomenon of cellular sensitization,
    termed negative hysteresis, is modulated by the Cpx envelope stress response system
    and linked to membrane stress during growth. The increase in efficacy is achieved
    through a β-lactam induced elevated cellular uptake of the subsequently administered
    aminoglycoside. Negative hysteresis and the Cpx system are linked in several cases
    to the expression of synergistic drug interactions, thus enhancing efficacy of
    antibiotic combinations. Overall, our study identifies the phenomenon of negative
    hysteresis as a robustly inducible phenotype and thus a unique focus for optimizing
    antimicrobial therapy.
acknowledgement: "We are very grateful to S. Hernando-Amado (Madrid, Spain), C. Pál
  (Szeged, Hungary), and T. Bollenbach (Cologne, Germany) for critical comments and
  advice on the manuscript. We further thank D. Rogers, J. Summers (Ploen, Germany)
  for guidance in allelic exchange, P. Rainey (Ploen, Germany) for providing the plasmids
  and strains, then J. Lorenzen, K. Flinder, N. Steinbach, S. Butze (all Schulenburg
  lab), and L. Kirchhoff (Rupp lab) for supporting the experimental work, and also
  the Rupp and Schulenburg groups for general feedback. We are grateful for financial
  support from the German Research Foundation within the Research and Training Group
  2501 (RTG 2501) on Translational Evolutionary Research (project 4.2 to H.S.), within
  the Excellence cluster Precision Medicine in chronic Inflammation (PMI; funding
  under Germany’s Excellence Strategy EXC 2167-390884018, to B.K., K.R., J.R., H.S.),
  within the Clinician Scientist Program in Evolutionary Medicine (CSEM) – project
  number 413490537 (to EEG), and as part of the individual grants SCHU 1415/12-2 (to
  H.S.) and BR-2915/7-1 (to M.B.). We are grateful for financial support from the
  Swedish Research Council, project number 2021-02091 (to D.I.A.). We are also grateful
  for financial support from the Max-Planck Society (Fellowship to H.S.), the Leibniz
  Association within the Leibniz Science-Campus Evolutionary Medicine of the Lung
  (EvoLUNG, to H.S.), and the project SKILLED funded by the DAMP foundation (to J.R.,
  H.S.). This work was also supported by the ZMB Young Scientist award and the FWF
  grant 10.55776/ESP219 (to R.R.) and the TransEvo Innovation prize (to F.B.). The
  funders had no role in study design, data collection and interpretation, or the
  decision to submit the work for publication. Open Access funding enabled and organized
  by Projekt DEAL.\r\n"
article_number: '4487'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Florian
  full_name: Buchholz, Florian
  last_name: Buchholz
- first_name: Lina M.
  full_name: Upterworth, Lina M.
  last_name: Upterworth
- first_name: Leif
  full_name: Tueffers, Leif
  last_name: Tueffers
- first_name: Espen E.
  full_name: Groth, Espen E.
  last_name: Groth
- first_name: Kira
  full_name: Haas, Kira
  last_name: Haas
- first_name: Daniel
  full_name: Schütz, Daniel
  last_name: Schütz
- first_name: Abigail
  full_name: Savietto Scholz, Abigail
  last_name: Savietto Scholz
- first_name: Aditi
  full_name: Batra, Aditi
  last_name: Batra
- first_name: Surajit
  full_name: Pal, Surajit
  last_name: Pal
- first_name: Samarpita
  full_name: Banerjee, Samarpita
  last_name: Banerjee
- first_name: Badri N.
  full_name: Dubey, Badri N.
  last_name: Dubey
- first_name: Sören
  full_name: Franzenburg, Sören
  last_name: Franzenburg
- first_name: Barbara
  full_name: Kalsdorf, Barbara
  last_name: Kalsdorf
- first_name: Klaus F.
  full_name: Rabe, Klaus F.
  last_name: Rabe
- first_name: Dennis
  full_name: Nurjadi, Dennis
  last_name: Nurjadi
- first_name: Jan
  full_name: Rupp, Jan
  last_name: Rupp
- first_name: Dan I.
  full_name: Andersson, Dan I.
  last_name: Andersson
- first_name: Holger
  full_name: Sondermann, Holger
  last_name: Sondermann
- first_name: Marc
  full_name: Bramkamp, Marc
  last_name: Bramkamp
- first_name: Roderich
  full_name: Römhild, Roderich
  id: 68E56E44-62B0-11EA-B963-444F3DDC885E
  last_name: Römhild
  orcid: 0000-0001-9480-5261
- first_name: Hinrich
  full_name: Schulenburg, Hinrich
  last_name: Schulenburg
citation:
  ama: Buchholz F, Upterworth LM, Tueffers L, et al. Robust antibiotic sensitization
    of pathogenic Pseudomonas aeruginosa via negative hysteresis in the cell envelope.
    <i>Nature Communications</i>. 2026;17. doi:<a href="https://doi.org/10.1038/s41467-026-71178-5">10.1038/s41467-026-71178-5</a>
  apa: Buchholz, F., Upterworth, L. M., Tueffers, L., Groth, E. E., Haas, K., Schütz,
    D., … Schulenburg, H. (2026). Robust antibiotic sensitization of pathogenic Pseudomonas
    aeruginosa via negative hysteresis in the cell envelope. <i>Nature Communications</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s41467-026-71178-5">https://doi.org/10.1038/s41467-026-71178-5</a>
  chicago: Buchholz, Florian, Lina M. Upterworth, Leif Tueffers, Espen E. Groth, Kira
    Haas, Daniel Schütz, Abigail Savietto Scholz, et al. “Robust Antibiotic Sensitization
    of Pathogenic Pseudomonas Aeruginosa via Negative Hysteresis in the Cell Envelope.”
    <i>Nature Communications</i>. Springer Nature, 2026. <a href="https://doi.org/10.1038/s41467-026-71178-5">https://doi.org/10.1038/s41467-026-71178-5</a>.
  ieee: F. Buchholz <i>et al.</i>, “Robust antibiotic sensitization of pathogenic
    Pseudomonas aeruginosa via negative hysteresis in the cell envelope,” <i>Nature
    Communications</i>, vol. 17. Springer Nature, 2026.
  ista: Buchholz F, Upterworth LM, Tueffers L, Groth EE, Haas K, Schütz D, Savietto
    Scholz A, Batra A, Pal S, Banerjee S, Dubey BN, Franzenburg S, Kalsdorf B, Rabe
    KF, Nurjadi D, Rupp J, Andersson DI, Sondermann H, Bramkamp M, Römhild R, Schulenburg
    H. 2026. Robust antibiotic sensitization of pathogenic Pseudomonas aeruginosa
    via negative hysteresis in the cell envelope. Nature Communications. 17, 4487.
  mla: Buchholz, Florian, et al. “Robust Antibiotic Sensitization of Pathogenic Pseudomonas
    Aeruginosa via Negative Hysteresis in the Cell Envelope.” <i>Nature Communications</i>,
    vol. 17, 4487, Springer Nature, 2026, doi:<a href="https://doi.org/10.1038/s41467-026-71178-5">10.1038/s41467-026-71178-5</a>.
  short: F. Buchholz, L.M. Upterworth, L. Tueffers, E.E. Groth, K. Haas, D. Schütz,
    A. Savietto Scholz, A. Batra, S. Pal, S. Banerjee, B.N. Dubey, S. Franzenburg,
    B. Kalsdorf, K.F. Rabe, D. Nurjadi, J. Rupp, D.I. Andersson, H. Sondermann, M.
    Bramkamp, R. Römhild, H. Schulenburg, Nature Communications 17 (2026).
corr_author: '1'
date_created: 2026-05-31T22:02:12Z
date_published: 2026-05-20T00:00:00Z
date_updated: 2026-06-02T07:14:35Z
day: '20'
ddc:
- '570'
department:
- _id: CaGu
doi: 10.1038/s41467-026-71178-5
file:
- access_level: open_access
  checksum: aa29f8806908dc0469dff21e2d5ad01f
  content_type: application/pdf
  creator: dernst
  date_created: 2026-06-02T07:11:12Z
  date_updated: 2026-06-02T07:11:12Z
  file_id: '21936'
  file_name: 2026_NatureComm_Buchholz.pdf
  file_size: 1276166
  relation: main_file
  success: 1
file_date_updated: 2026-06-02T07:11:12Z
has_accepted_license: '1'
intvolume: '        17'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: bd6f94d1-d553-11ed-ba76-ae9f07250f74
  grant_number: E219
  name: Non-canonical antibiotic interactions
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Robust antibiotic sensitization of pathogenic Pseudomonas aeruginosa via negative
  hysteresis in the cell envelope
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '21921'
abstract:
- lang: eng
  text: "A variety of problems in geometry processing boil down to finding the most\r\nparallel
    field relative to a connection. Instances of this prototypical problem\r\nshow
    up in computing direction fields and stripe patterns, quadrilateral\r\nmeshing,
    and visualization of fluid flows. When the class of allowed fields\r\nincludes
    those with topological defects, a relaxation is required to make\r\nthe problem
    well-posed. We observe that these problems can be viewed\r\nas synchronization
    problems, which admit a natural semidefinite relaxation.\r\nWe propose a unified
    method of solving all these problems via the efficient\r\nBurer-Monteiro factorization
    method. Geometrically, this amounts to lifting the field values to a higher-dimensional
    manifold, naturally resolving\r\nthe singular nature of defects. Practically,
    we show that our convex relaxation method achieves better and more reliable optima
    than previous work\r\nemploying alternative relaxations"
acknowledgement: "The authors thank Steven J. Gortler and Nicolas Boumal for interesting
  discussions.\r\nDavid Palmer acknowledges the generous support of the NSF\r\nMSPRF
  under award #2303403 during his time at Harvard University.\r\nNatalia Pacheco-Tallaj
  was supported by the NSF DGE-2141064.\r\nMattéo Couplet was supported by Wallonie-Bruxelles
  International"
article_processing_charge: No
author:
- first_name: Natalia
  full_name: Pacheco-Tallaj, Natalia
  last_name: Pacheco-Tallaj
- first_name: Matteo
  full_name: Couplet, Matteo
  last_name: Couplet
- first_name: Edward
  full_name: Chien, Edward
  last_name: Chien
- first_name: David
  full_name: Palmer, David
  id: 6574708f-2fd3-11f0-89e2-ae42ebc712a4
  last_name: Palmer
  orcid: 0000-0002-1931-5673
citation:
  ama: 'Pacheco-Tallaj N, Couplet M, Chien E, Palmer D. Synchronizing fields with
    singularities. In: <i>SIGGRAPH Conference Papers</i>. ACM. doi:<a href="https://doi.org/10.1145/3799902.3811225">10.1145/3799902.3811225</a>'
  apa: 'Pacheco-Tallaj, N., Couplet, M., Chien, E., &#38; Palmer, D. (n.d.). Synchronizing
    fields with singularities. In <i>SIGGRAPH Conference Papers</i>. Los Angeles,
    CA, United States: ACM. <a href="https://doi.org/10.1145/3799902.3811225">https://doi.org/10.1145/3799902.3811225</a>'
  chicago: Pacheco-Tallaj, Natalia, Matteo Couplet, Edward Chien, and David Palmer.
    “Synchronizing Fields with Singularities.” In <i>SIGGRAPH Conference Papers</i>.
    ACM, n.d. <a href="https://doi.org/10.1145/3799902.3811225">https://doi.org/10.1145/3799902.3811225</a>.
  ieee: N. Pacheco-Tallaj, M. Couplet, E. Chien, and D. Palmer, “Synchronizing fields
    with singularities,” in <i>SIGGRAPH Conference Papers</i>, Los Angeles, CA, United
    States.
  ista: 'Pacheco-Tallaj N, Couplet M, Chien E, Palmer D. Synchronizing fields with
    singularities. SIGGRAPH Conference Papers. SIGGRAPH: International Conference
    and Exhibition on Computer Graphics and Interactive Techniques.'
  mla: Pacheco-Tallaj, Natalia, et al. “Synchronizing Fields with Singularities.”
    <i>SIGGRAPH Conference Papers</i>, ACM, doi:<a href="https://doi.org/10.1145/3799902.3811225">10.1145/3799902.3811225</a>.
  short: N. Pacheco-Tallaj, M. Couplet, E. Chien, D. Palmer, in:, SIGGRAPH Conference
    Papers, ACM, n.d.
conference:
  end_date: 2026-07-23
  location: Los Angeles, CA, United States
  name: 'SIGGRAPH: International Conference and Exhibition on Computer Graphics and
    Interactive Techniques'
  start_date: 2026-07-19
corr_author: '1'
date_created: 2026-05-29T12:53:59Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-06-02T06:26:52Z
day: '01'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/3799902.3811225
file:
- access_level: open_access
  checksum: 384524659fbaf3b9da80c3852ba835af
  content_type: application/pdf
  creator: dpalmer
  date_created: 2026-05-29T12:53:25Z
  date_updated: 2026-05-29T12:53:25Z
  file_id: '21922'
  file_name: main.pdf
  file_size: 39491071
  relation: main_file
file_date_updated: 2026-05-29T12:53:25Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Accepted Version
publication: SIGGRAPH Conference Papers
publication_identifier:
  eisbn:
  - '9798400725548'
publication_status: accepted
publisher: ACM
quality_controlled: '1'
status: public
title: Synchronizing fields with singularities
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '21933'
abstract:
- lang: eng
  text: We consider the liquid drop model with a positive background density in the
    thermodynamic limit. We prove a two-term asymptotics for the ground state energy
    per unit volume in the dilute limit. Our proof justifies the expectation that
    optimal configurations consist of droplets of unit size that arrange themselves
    according to minimizers for the Jellium problem for point particles. In particular,
    we provide the first rigorous derivation of what is known as the gnocchi phase
    in astrophysics.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rupert L.
  full_name: Frank, Rupert L.
  last_name: Frank
- first_name: Mathieu
  full_name: Lewin, Mathieu
  last_name: Lewin
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Frank RL, Lewin M, Seiringer R. Liquid drop model for nuclear matter in the
    low density limit. <i>Communications on Pure and Applied Mathematics</i>. 2026.
    doi:<a href="https://doi.org/10.1002/cpa.70039">10.1002/cpa.70039</a>
  apa: Frank, R. L., Lewin, M., &#38; Seiringer, R. (2026). Liquid drop model for
    nuclear matter in the low density limit. <i>Communications on Pure and Applied
    Mathematics</i>. Wiley. <a href="https://doi.org/10.1002/cpa.70039">https://doi.org/10.1002/cpa.70039</a>
  chicago: Frank, Rupert L., Mathieu Lewin, and Robert Seiringer. “Liquid Drop Model
    for Nuclear Matter in the Low Density Limit.” <i>Communications on Pure and Applied
    Mathematics</i>. Wiley, 2026. <a href="https://doi.org/10.1002/cpa.70039">https://doi.org/10.1002/cpa.70039</a>.
  ieee: R. L. Frank, M. Lewin, and R. Seiringer, “Liquid drop model for nuclear matter
    in the low density limit,” <i>Communications on Pure and Applied Mathematics</i>.
    Wiley, 2026.
  ista: Frank RL, Lewin M, Seiringer R. 2026. Liquid drop model for nuclear matter
    in the low density limit. Communications on Pure and Applied Mathematics.
  mla: Frank, Rupert L., et al. “Liquid Drop Model for Nuclear Matter in the Low Density
    Limit.” <i>Communications on Pure and Applied Mathematics</i>, Wiley, 2026, doi:<a
    href="https://doi.org/10.1002/cpa.70039">10.1002/cpa.70039</a>.
  short: R.L. Frank, M. Lewin, R. Seiringer, Communications on Pure and Applied Mathematics
    (2026).
date_created: 2026-05-31T22:02:13Z
date_published: 2026-01-01T00:00:00Z
date_updated: 2026-06-02T06:58:54Z
day: '01'
department:
- _id: RoSe
doi: 10.1002/cpa.70039
external_id:
  arxiv:
  - '2507.14012'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2507.14012
month: '01'
oa: 1
oa_version: Preprint
publication: Communications on Pure and Applied Mathematics
publication_identifier:
  eissn:
  - 1097-0312
  issn:
  - 0010-3640
publication_status: epub_ahead
publisher: Wiley
scopus_import: '1'
status: public
title: Liquid drop model for nuclear matter in the low density limit
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21930'
abstract:
- lang: eng
  text: "We present the discovery of extreme nitrogen enrichment by Wolf Rayet nitrogen
    (WN) stars in the metal-poor (∼10%Z⊙), lensed, compact (Reff ∼ 20 pc) galaxy RXCJ2248
    at z = 6.1, revealed by unprecedentedly deep\r\nJWST/NIRSpec medium-resolution
    spectroscopy from the GLIMPSE-D Survey. The exquisite signal-to-noise\r\nratio
    reveals multiple high-ionization nebular lines and broad Balmer and [O III] components
    (FWHM\r\n∼700–3000 km s\r\n−1\r\n). We detect broadened He II λ1640 and λ4687
    (FWHM ∼ 530 km s\r\n−1\r\n) and strong N III λ4642\r\nemission consistent with
    a population of WN stars, making RXCJ2248 the most distant galaxy with confirmed\r\nWolf
    Rayet (WR) features to date. We measure the multiphase nebular density across
    five ions, the direct-method\r\nmetallicity (\r\n12 + log(O/H) = 7.753 ± 0.025\r\n),
    and a nonuniform elemental enrichment pattern of extreme N/O\r\nenhancement (\r\nlog(N/O)
    = 0.391 ± 0.037\r\nfrom N+, N+2\r\n, and N+3\r\n) but suppressed C/O relative
    to empirical\r\nC/N trends. We show that this abundance pattern can be explained
    by enrichment from a dual-burst with a low\r\nWR carbon/WN ratio, as expected
    at low metallicities. Crucially, these signatures can only arise during a brief,\r\nrare
    evolutionary window shortly after a burst (∼3–6 Myr), when WN stars dominate chemical
    feedback but\r\nbefore dilution by later yields (e.g., supernovae). The observed
    frequency of strong N emitters at high−z implies a\r\n∼50 Myr burst duty cycle,
    suggesting that N/O outliers may represent a brief but ubiquitous phase in the\r\nevolution
    of highly star-forming early galaxies. The WN detection in RXCJ2248, therefore,
    provides the first\r\ndirect evidence of WR-driven nitrogen enrichment in the
    first billion years of the Universe and a novel timing\r\nargument for the bursty
    star formation cycles that shaped galaxies at cosmic dawn."
acknowledgement: "\r\nThe American Astronomical Society, find out more.\r\n\r\nThe
  following article isOpen access\r\nA Fleeting GLIMPSE of N/O Enrichment at Cosmic
  Dawn: Evidence for Wolf Rayet N Stars in a z = 6.1 Galaxy\r\nDanielle A. Berg, Rohan
  P. Naidu, John Chisholm, Hakim Atek, Seiji Fujimoto, Vasily Kokorev, Lukas J. Furtak,
  Chiaki Kobayashi, Daniel Schaerer, Angela Adamo, Qinyue Fei, Damien Korber, Jorryt
  Matthee, Rui Marques-Chaves, Zorayda Martinez, Kristen. B. W. McQuinn, Julian B.
  Muñoz, Pascal A. Oesch, Alberto Saldana-Lopez, Daniel P. Stark, Mabel G. Stephenson,
  and Tiger Yu-Yang HsiaoHide full author list\r\n\r\nPublished 2026 May 20 • © 2026.
  The Author(s). Published by the American Astronomical Society.\r\nThe Astrophysical
  Journal, Volume 1003, Number 2\r\nCitation Danielle A. Berg et al 2026 ApJ 1003
  112\r\nDOI 10.3847/1538-4357/ae5e4c\r\n\r\nDownloadArticle PDFDownloadArticle ePub\r\nAuthors\r\nFigures\r\nTables\r\nReferences\r\nArticle
  data\r\nDownload PDFDownload ePub\r\nArticle metrics\r\n173 Total downloads\r\n\r\nShare
  this article\r\nArticle information\r\nAbstract\r\nWe present the discovery of extreme
  nitrogen enrichment by Wolf Rayet nitrogen (WN) stars in the metal-poor (∼10%Z⊙),
  lensed, compact (Reff ∼ 20 pc) galaxy RXCJ2248 at z = 6.1, revealed by unprecedentedly
  deep JWST/NIRSpec medium-resolution spectroscopy from the GLIMPSE-D Survey. The
  exquisite signal-to-noise ratio reveals multiple high-ionization nebular lines and
  broad Balmer and [O iii] components (FWHM ∼700–3000 km s−1). We detect broadened
  He ii λ1640 and λ4687 (FWHM ∼ 530 km s−1) and strong N iii λ4642 emission consistent
  with a population of WN stars, making RXCJ2248 the most distant galaxy with confirmed
  Wolf Rayet (WR) features to date. We measure the multiphase nebular density across
  five ions, the direct-method metallicity (\r\n), and a nonuniform elemental enrichment
  pattern of extreme N/O enhancement (\r\n from N+, N+2, and N+3) but suppressed C/O
  relative to empirical C/N trends. We show that this abundance pattern can be explained
  by enrichment from a dual-burst with a low WR carbon/WN ratio, as expected at low
  metallicities. Crucially, these signatures can only arise during a brief, rare evolutionary
  window shortly after a burst (∼3–6 Myr), when WN stars dominate chemical feedback
  but before dilution by later yields (e.g., supernovae). The observed frequency of
  strong N emitters at high−z implies a ∼50 Myr burst duty cycle, suggesting that
  N/O outliers may represent a brief but ubiquitous phase in the evolution of highly
  star-forming early galaxies. The WN detection in RXCJ2248, therefore, provides the
  first direct evidence of WR-driven nitrogen enrichment in the first billion years
  of the Universe and a novel timing argument for the bursty star formation cycles
  that shaped galaxies at cosmic dawn.\r\n\r\nExport citation and abstract\r\nBibTeXRIS\r\n\r\nPrevious
  article in issue\r\nNext article in issue\r\n\r\nOriginal content from this work
  may be used under the terms of the Creative Commons Attribution 4.0 licence. Any
  further distribution of this work must maintain attribution to the author(s) and
  the title of the work, journal citation and DOI.\r\n\r\n1. Introduction\r\nA key
  tracer of galaxy evolution is the change in their chemical composition over time.
  The metallicity of a galaxy is a sensitive observational diagnostic of its past
  star formation history and present-day evolutionary state given that metallicity
  increases with each successive generation of massive star yields (e.g., M. Tosi
  1988; J.-R. Roy & D. Kunth 1995; D. A. Berg et al. 2019; R. Maiolino & F. Mannucci
  2019). Oxygen is an important tracer of metallicity because it is the most abundant
  element in the Universe after H and He and is convenient to observe, with ubiquitous
  emission lines from H ii regions in the rest-frame optical regime. While O emission
  in dwarf and spiral galaxies has been widely observed in the rest-frame optical
  and UV (e.g., R. C. Kennicutt 1992; Y. I. Izotov & T. X. Thuan 1999; L. van Zee
  & M. Haynes2006; D. A. Berg et al. 2012, 2016, 2019; P. Senchyna et al. 2017; N.
  S. J. Rogers et al. 2022), the N emission in these same galaxies has been predominantly
  traced only in the optical through the low-ionization [N ii] λλ6550,6585 emission
  lines. In general, there is a surprising dearth of detections of the high-ionization
  N emission counterparts in local galaxies, totaling less than 10 galaxies with significant
  detections of either N iv] λλ1483,1486 or N iii] λ1750 (e.g., M. Mingozzi et al.
  2022; Z. Martinez et al. 2025). However, with the advent of JWST, there is a growing
  prevalence of z ≳ 5 galaxies with extreme properties, including intense UV N emission
  (e.g., A. J. Bunker et al. 2023; Y. Isobe et al. 2023; M. Castellano et al. 2024;
  T. Y.-Y. Hsiao et al. 2024; X. Ji et al. 2024; R. Marques-Chaves et al. 2024; D.
  Schaerer et al. 2024; M. Curti et al. 2025a; Y. Harikane et al. 2025a; R. P. Naidu
  et al. 2026; M. W. Topping et al. 2025b).\r\n\r\nThe first noted, and one of the
  most distant, examples of extreme rest-frame UV N emission comes from the spectroscopically
  confirmed z = 10.6 galaxy, GN-z11. JWST spectra of GN-z11 revealed surprisingly
  strong N iv] λλ1483,1486 and N iii] λ1750 emission (e.g., A. J. Bunker et al. 2023)
  that corresponds to supersolar nitrogen-to-oxygen (N/O) enrichment (\r\n; e.g.,
  A. J. Cameron et al. 2023). Subsequently, enhanced N/O has been reported in a number
  of high−z galaxies, including GDS 3073 (z = 5.55; X. Ji et al. 2024), RXCJ2248-ID
  (z = 6.10; M. W. Topping et al. 2024), A1703-zd6 (z = 7.04; M. W. Topping et al.
  2025b), CEERS-1019 (z = 8.68; R. Marques-Chaves et al. 2024), GNz9p4 (z = 9.38;
  D. Schaerer et al. 2024), GHZ9 (z = 10.15; L. Napolitano et al. 2025), GHZ2 (z =
  12.34; M. Castellano et al. 2024), and MoM-z14 (z = 14.44; R. P. Naidu et al. 2026).
  For a review of nitrogen line detections, see D. P. Stark et al. (2025). Such strong
  nebular N+3 emission requires a relatively hard ionizing radiation field (≳47.4
  eV), where models of massive stars predict few photons. On the other hand, N+2 has
  a lower ionization potential (∼29.6 eV), but statistically significant detections
  are strikingly rare in integrated galaxy spectra (e.g., D. A. Berg et al. 2018;
  M. Mingozzi et al. 2022; A. J. Bunker et al. 2023; P. Senchyna et al. 2024) and
  are only expected to be strong at the highest possible nebular temperatures (∼2.5
  × 104 K). Furthermore, the timing of the incredibly high N/O abundances reported
  for the high-redshift UV N emitters just a few 100 Myr after the Big Bang is unexpected.\r\n\r\nThe
  discovery of significant, rapid nitrogen enhancement so early in the Universe was
  surprising because it contradicts our longstanding understanding of N production.
  In typical chemical evolution modeling, some nitrogen enrichment can occur early
  on via core collapse supernova (CCSN), but substantial nitrogen enrichment only
  occurs 100 s of megayears after the onset of star formation via asymptotic giant
  branch (AGB) stars (e.g., F. Vincenzo et al. 2019; C. Kobayashi et al. 2020). Thus,
  alternative, faster enrichment methods are needed to explain substantial nitrogen
  enrichment in early galaxies. As a result, the necessary ionizing flux and conditions
  to produce the unexpectedly strong N+3 and N+2 emission observed in galaxies beyond
  z ∼ 5 have been attributed to more extreme sources, such as active galactic nuclei
  (AGN; R. Maiolino et al. 2024), Wolf Rayet (WR) stars (e.g., P. Senchyna et al.
  2024; K. Watanabe et al. 2024; M. L. P. Gunawardhana et al. 2025), globular cluster
  precursors (e.g., C. Charbonnel et al. 2023; X. Ji et al. 2026), super star clusters
  (e.g., M. Pascale et al. 2023), very massive stars (VMSs: M⋆ > 102 M⊙; e.g., J.
  S. Vink 2023; Y. Shi et al. 2026), or supermassive stars (M⋆ > 103 M⊙; e.g., C.
  Charbonnel et al. 2023; C. Nagele & H. Umeda 2023), tidal disruption events (e.g.,
  A. J. Cameron et al. 2023; K. Watanabe et al. 2024), and more.\r\n\r\nMost of our
  understanding of WR stars has been built from observations of individual resolved
  stars in a handful of galaxies in the Local Group, with almost no direct spectroscopic
  evidence for the prevalence of WR stars in more distant galaxies. To date, only
  two systems at Cosmic Noon (z ≈ 2–3) have confirmed signatures of WR stars: MARTA-4327
  at z = 2.224 (hereafter, M4327; M. Curti et al. 2025b) and the Sunburst Arc at z
  = 2.37 (T. E. Rivera-Thorsen et al. 2024). Extending such detections to earlier
  cosmic epochs is crucial for understanding the role of massive stars in shaping
  the chemical evolution of galaxies in the first Gyr.\r\n\r\nHere, we investigate
  the z = 6.1 lensed galaxy RXCJ2248-ID3. RXCJ2248-ID was first identified by F. Boone
  et al. (2013), I. Balestra et al. (2013), and A. Monna et al. (2014) and discovered
  to be a high-ionization, compact, metal-poor, N-enhanced galaxy by R. Mainali et
  al. (2017), K. B. Schmidt et al. (2017), and M. W. Topping et al. (2024). We present
  extremely deep JWST/NIRSpec observations of RXCJ2248-ID3 that provide the highest-redshift
  spectroscopic evidence of WR nitrogen (WN) stars to date, which provide a physically
  consistent mechanism driving its extreme nitrogen enrichment (M. W. Topping et al.
  2024). The remainder of this paper is organized as follows. The observations and
  data reduction are briefly described in Section 2.1, followed by a description of
  the emission-line fits, including the broad lines related to the WR feedback, in
  Section 2.2. We present the discovery of WN stars at z ∼ 6 via their spectral signatures
  in Section 3. We determine new nebular properties and O, C, N, and Si abundances
  in Section 4.3 and compare them to populations of both low- and high-redshift galaxies.
  We discuss the source of N enrichment in the early Universe and subsequently estimate
  mass production and timing arguments in Section 5. Finally, we present our conclusions
  in Section 6. Throughout this work, we adopt cosmological parameters of H0 = 70
  km s−1 Mpc−1, Ωm = 0.30, and ΩΛ = 0.7 and the solar abundance pattern from M. Asplund
  et al. (2021).\r\n\r\n2. JWST/NIRSpec Spectra\r\nRXCJ2248 is a galaxy at z ∼ 6.1
  that is lensed into multiple images by the Abell S1063 cluster (α = 22:48:44.13,
  δ =−44:31:57.50) at a redshift of z = 0.348. We present an analysis of the brightest
  image, RXCJ2248-ID3 (J = 25.0), which has a magnification of μ ∼ 7 (L. Furtak et
  al. 2025). RXCJ2248-ID was discovered as a z ∼ 6 candidate (F. Boone et al. 2013;
  A. Monna et al. 2014) using the 16-band HST photometry of the CLASH Survey and spectroscopically
  confirmed via VIsible Multi-Object Spectrograph (VIMOS)/VLT observations by I. Balestra
  et al. (2013). RXCJ2248-ID3 was soon found to be an exciting extreme emission-line
  galaxy via ground-based spectroscopy (R. Mainali et al. 2017), with strong detections
  of high-ionization emission such as O iii] λλ1661,1666 and C ivλλ1548,1550 but no
  He ii, suggesting star formation as the ionizing source rather than an AGN.\r\n\r\nThe
  early spectra of RXCJ2248-ID3 motivated further rest-UV+optical study with JWST/NIRSpec
  by M. W. Topping et al. (2024). This work performed direct metallicity calculations
  to show that RXCJ2248-ID3 is one of the most extreme N/O-enhanced (), metal-poor
  () galaxies, with high-ionization ([O iii] λ5008/[O ii] λ3728 = 184) and high nebular
  density (6.4 × 104 ≤ ne(cm−3) ≤3.1 × 105). They also used spectral energy distribution
  (SED) fitting with a constant star formation history to characterize its low stellar
  mass (M⋆ ∼ 108 M⊙) and the young-massive star population (∼2 Myr) of RXCJ2248. M.
  W. Topping et al. (2024), therefore, suggest that the N/O enrichment may be due
  to a short-lived phase that many z > 6 bursty galaxies experience. In this paper,
  we build on the work of M. W. Topping et al. (2024) with new, extraordinarily deep
  rest-optical JWST/NIRSpec observations of RXCJ2248-ID3 from the GLIMPSE-D Survey,
  a Director’s Discretionary Time (DDT) follow-up program described below.\r\n\r\n2.1.
  Observations and Reduction\r\nThe work presented here uses both the rest-UV JWST/NIRSpec
  archival spectra from JWST PID 2478 (PI Stark) and new rest-optical JWST/NIRSpec
  spectra from the GLIMPSE-D Survey, which is an extension of the GLIMPSE Survey.
  Properties of RXCJ2248-ID and observation details are presented in Table 1.\r\n\r\nTable
  1. Properties of RXCJ2248-ID3\r\n\r\nJWST/NIRSpec Observations\r\nGrating/Filter\t(s)\tPI/PID\r\nG140M/F100LP\t6215\tStark/2478\r\nG235M/F170LP\t1576\tStark/2478\r\nG395M/F290LP\t107,228\tFujimoto
  & Naidu/9223\r\nMeasured Properties\r\nProperty\tValue\tReferences\r\nR.A.\t+22:48:45.81\tThis
  work\r\nDecl.\t−44:32:14.95\tThis work\r\nz\t6.1025 ± 0.0013\tThis work\r\nμ\t6.8877\tL.
  Furtak et al. (2025)\r\nReff (pc)\t\tA. Claeyssens (2025)\r\nM⋆ (M⊙)\t\tA. Claeyssens
  (2025)\r\nΣ⋆ (M⊙ pc−2)\t\tA. Claeyssens (2025)\r\nSFRHα (M⊙ yr−1)\t3.2\tThis work,
  Section 5.3\r\nSFRSED,1Myr\t4.7\tA. Claeyssens (2025)\r\nSFRSED,10Myr\t4.1\tA. Claeyssens
  (2025)\r\nΣSFR (M⊙ yr−1 kpc−2)\t1.34 × 103\tThis work\r\ntage (Myr)\t\tA. Claeyssens
  (2025)\r\n12+log(O/H)\t7.753 ± 0.025\tThis work, Section 4.3.1\r\nlog(N/O)\t−0.391
  ± 0.037\tThis work, Section 4.3.2\r\nNote. Top: JWST/NIRSpec observations of RXCJ2248-ID3,
  including archival observations from PID 2478 (PI: Stark) and very deep GLIMPSE-D
  observations from PID 9223 (PI: Fujimoto & Naidu). Columns (1)–(3) list the grating/filter,
  exposure time, and principle investigator/PID. Bottom: Measured global properties
  of RXCJ2248-ID3. The R.A. and decl. are the extraction coordinates for RXCJ2248-ID3.
  The redshift was determined from the GLIMPSE-D spectrum emission lines. GLIMPSE
  imaging was used to determine the lensing model magnification, μ. Effective radius
  of the RXCJ2248-ID3 clump, stellar mass, and current massive star population age
  are from the SED modeling of A. Claeyssens (2025), while the SFR was determined
  from both the SED fitting and the narrow-component, collisions-corrected Hα flux
  (see Section 5.3), all corrected for the lensing factor. The star formation rate
  surface density was determined using the SFRHα. The metallicity and relative N/O
  abundance were determined using the direct method.\r\n\r\nDownload table as: \r\nASCIITypeset
  image\r\n\r\nThe GLIMPSE Survey is a large Cycle 2 JWST program (PID 3293; PIs Atek
  & Chisholm) that performed ultradeep NIRCam imaging (∼30.8 mag at 5σ over 0.8–5
  μm) in seven broadband and two medium-band filters of the lensing cluster Abell
  S1063 (H. Atek et al. 2025). A. Claeyssens (2025) performed size and photometric
  measurements of RXCJ2248-ID in the different multiple images. The SED fitting was
  performed with the Bayesian Analysis of Galaxies for Physical Inference and Parameter
  Estimation (BAGPIPES; A. C. Carnall et al. 2018) code with Binary Population and
  Spectral Synthesis (BPASS v2.14, J. J. Eldridge et al. 2017) stellar population
  synthesis burst models and cloudy v23.01 photoionization models (M. Chatzikos et
  al. 2023; C. M. Gunasekera et al. 2023). Priors were used to be physically consistent
  with the source, i.e., high-ionization parameter (), low extinction (Av < 0.5 mag),
  low metallicity (Z < 0.4 Z⊙), and bursty star formation (τ = 1 Myr, i.e., close
  to a single burst, or τ = 10 Myr). The resulting best fit has a young age ( Myr)
  and low stellar mass of but within a compact size of pc such that the stellar mass
  surface density is . This value is akin to the highest densities found in globular
  clusters, similar to the ones reported for young star clusters and clumps at high
  redshift (A. Claeyssens et al. 2025; M. Messa et al. 2026), and broadly consistent
  with the conclusions presented in M. W. Topping et al. (2024).\r\n\r\nSubsequent
  medium-resolution (R ∼ 1000) spectra of RXCJ2248-ID3 were obtained as part of the
  follow-up GLIMPSE-D Survey: JWST DDT Program 9223 (PIs Fujimoto & Naidu) targeting
  a Pop III candidate in S. Fujimoto et al. (2025) using NIRSpec Multi-Object Spectroscopy
  (MOS) with the G395M grating and F290LP filter. As part of this program, RXCJ2248-ID3
  was observed for a total of 13 exposures using a 3-point nod pattern and NRSIRS2
  readout, totaling ∼30 hr of integration. The MSA slit positions covering RXCJ2248-ID3
  of the three pointings are shown in Figure 1.\r\n\r\nZoom InZoom OutReset image
  size\r\nFigure 1. JWST/NIRSpec MSA slits targeting RXCJ2248-ID3 for each of the
  three exposures in the GLIMPSE-D program. The two pointings that are closely aligned
  (solid purple regions) have the same wavelength coverage, while the pointing offset
  to the lower left (dashed region) has somewhat reduced blue coverage. All three
  pointings were used in the spectrum coaddition.\r\n\r\nDownload figure:\r\n\r\nStandard
  imageHigh-resolution image\r\nWe augment the rest-optical GLIMPSE-D data with archival
  rest-far-UV G140M/F100LP and rest-near-UV G235M/F170LP observations from PID 2478
  (PI Stark), covering the rest-frame ∼1400–4000 Å range. This program also observed
  the G395M/F290LP setting, but we only use the significantly deeper GLIMPSE-D G395M
  observations here. Multiple images of RXCJ2248 were identified and observed in program
  #2478. M. W. Topping et al. (2024) utilized these data by coadding the spectra of
  the individual images. In contrast, only the brightest image (ID3) was observed
  in the GLIMPSE-D Survey. To ensure consistency, we therefore restricted our analysis
  to the G140M and G235M spectra of ID3 obtained in program #2478. As a result, our
  G140M and G235M measurements are not directly comparable to those presented by M.
  W. Topping et al. (2024).\r\n\r\nThe data were reduced using v0.9.8 of the msaexp
  pipeline (G. Brammer 2022), following the standard routines described in A. de Graaff
  et al. (2025), K. E. Heintz et al. (2025), and F. Valentino et al. (2025). Briefly,
  level-2 calibrated products from MAST are subject to a series of custom corrections
  that account for, e.g., 1/f noise, bar vignetting, and detector bias. We used the
  “local” nodded background subtraction. The 2D spectra were drizzled onto a common
  wavelength grid and 1D spectra were optimally extracted using a profile model that
  accounts for, e.g., the wavelength-dependent PSF and offsets from the nominal position
  expected from the catalog. Line centers were measured for the strongest emission
  lines in the G395M spectrum (i.e., Hδ, Hγ, [O iii] λ4364, Hβ, [O iii] λλ4960,5008,
  He iλ5877, Hα, He iλ7067) and used to determine a redshift of z = 6.1025 ± 0.0013.
  Note that the bluest portion of the G395M tends to favor a slightly lower redshift
  (i.e., z ∼ 6.1000), while the reddest portion favors a slightly higher redshift
  (i.e., z ∼ 6.1034). The three individual 1D extracted spectra were then normalized
  to the common continuum flux scale of the first spectrum at rest-wavelengths of
  ∼6000–62000 Å prior to coadding. Spectral coaddition was performed as a weighted
  average using the inverse variance as the weight.\r\n\r\nThe resulting spectrum,
  shown in Figure 2, covers an observed wavelength range ∼2.8–5.5 μm, which corresponds
  to a rest-optical range of ∼3900–7740 Å. Note that the third pointing (dashed slits
  in Figure 1) has reduced wavelength coverage such that the blue end begins at ∼4265.
  The deep GLIMPSE-D spectra provide unparalleled signal-to-noise ratio (S/N; >5 at
  5100 Å continuum) that enable rest-optical diagnostics typically reserved for nearby
  galaxies.\r\n\r\nZoom InZoom OutReset image size\r\nFigure 2. JWST/NIRSpec rest-frame
  UV and optical spectra of RXCJ2248-ID3 highlighting the first object known with
  simultaneously detected emission from N+, N+2, and N+3 (see, also, M. W. Topping
  et al. 2024) and WR features. The second row shows the main emission UV emission-line
  detections from the archival G140M/F100LP spectrum, with significant detections
  of several high-ionization emission lines, including N iv] λλ1483,1486, C iv λλ1548,1550,
  He ii λ1640, O iii] λλ1661,1666, N iii] λ1750, and C iii] λλ1907,1909. The third
  row shows the blue end of the optical spectrum, where the left-hand panel shows
  the archival G235M/F170LP spectrum, which includes the low-ionization [O ii] λλ3727,3730
  doublet. The right-hand panel of the third row and the fourth row shows the extremely
  high S/N GLIMPSE-D optical spectrum, enabling detections of several weak features.
  Note that some of the important features to this work are highlighted in the zoom
  in panels in the top row. In particular, the last panel reveals the most distant
  WR detection to date, with the λ4650 WR bump showing emission from N iii λ4642,
  indicative of nitrogen enrichment from WN stars. Note that not all of the labeled
  lines correspond to line detections.\r\n\r\nDownload figure:\r\n\r\nStandard imageHigh-resolution
  image\r\n2.2. Emission-line Measurements\r\nIn order to perform a consistent analysis
  of our data, we measure emission-line fluxes for both the archival spectra and the
  new GLIMPSE-D spectra presented here. We fit neighboring emission lines simultaneously
  using Gaussian profiles with the lmfit package (M. Newville et al. 2015) in Python.
  Purely nebular lines (i.e., lines without possible stellar contributions or resonant
  effects) close in wavelengths were constrained to have the same full width at half-maximum
  (FWHM) velocity widths. Additionally, the relative wavelength spacing between lines
  was constrained to laboratory values and doublets with constant flux ratios set
  by atomic physics were constrained to their theoretical values, with small uncertainty
  allowances. The uncertainties on the line fluxes were estimated as the standard
  error derived from the least-squares minimization in lmfit, which considers the
  uncertainty on the Gaussian profile and linear continuum.\r\n\r\nBroad emission
  components are clearly visible at the base of some of the emission lines in the
  GLIMPSE-D spectrum of RXCJ2248-ID3. Such broad emission features can be produced
  by stellar winds, shocks, or turbulence. Since He iiλ1640 and λ4687 emission lines
  can be affected by stellar winds, we fit these features with an unconstrained Gaussian
  width. Using the jwst-msa package (A. de Graaff et al. 2024), we deconvolved all
  measured FWHMs with the modeled wavelength-dependent line spread function (LSF).
  We found the He ii lines to be broadened compared to purely nebular lines. For the
  He iiλ 4687 line, the velocity width is 528 ± 100 km s−1, which is more than two
  times broader than the narrow nebular Hβ component with vFWHM = 243 ± 25 km s−1.\r\n\r\nThe
  strongest rest-optical H (Hγ, Hβ, and Hα) and [O iii] (λ4364, λλ4960,5008) emission
  lines have complex profiles with both narrow and broad emission components. Such
  broad components may also be present in the rest-UV and fainter rest-optical emission
  lines, but none are obvious given the lower S/N of these emission features and/or
  underlying continuum. To fit these profiles, we tested three different multicomponent
  profile combination fits for the Hα + [N ii] complex. For all three fits, the narrow
  Hα and [N ii] λλ6550,6585 lines were fit by Gaussians with a single velocity width,
  but the broad component was fit with either: (1) a single Gaussian profile, (2)
  two Gaussian profiles, or (3) a single exponential profile. The single broad Gaussian
  profile fit had strong residuals near the center of the broad component, so did
  not provide a good fit to the observed emission profile. Both the double Gaussian
  profile and the exponential profile provided relatively good visual fits, but the
  double Gaussian fit had a lower reduced chi-squared ( vs ) and Bayesian inference
  criteria (BIC2Gauss = 36 versus (BICexp. = 87), and so was adopted as the better
  statistical fit.\r\n\r\nThe right panel of Figure 3 shows the best multicomponent
  fit to the Hα + [N ii] complex. Since all kinematically similar lines in the Balmer
  emission series arise from the same gas, we expect the Hβ and Hγ profiles to be
  well fit by scaling the Hα best fit. Therefore, we constrained the velocity widths
  of the Hβ and Hγ emission components to match the narrow + double broad Gaussian
  Hα fit, accounting for the wavelength-dependent LSF. We found excellent fit results,
  with similarly small reduced-χ2 and BIC values. This means that the H i lines are
  well fit by a profile with (1) a strong, narrow (∼250 km s−1) nebular component,
  (2) a moderate (∼20% of total flux), broad component (∼670 km s−1), and (3) a weak
  (∼10% of total flux), very broad (∼2530 km s−1) component.\r\n\r\nZoom InZoom OutReset
  image size\r\nFigure 3. Multicomponent emission-line fits to the GLIMPSE spectrum
  of RXCJ2248-ID for Hα λ6565 + [N II] λλ6549,6585 (left panels), Hβ λ4863 + [O III]
  λλ4960,5008 (middle panels), and Hγ λ4342 + [O III] λ4364 (right panels). When fit
  with single, narrow Gaussian components (e.g., purple and yellow filled Gaussians),
  all three line complexes show strong, broad component residual flux. The resulting
  best fit to each line is comprised of a single narrow Gaussian plus two broad Gaussians,
  where the relevant component velocity widths are tied together: The Hα λ6565 + [N
  ii] λλ6549,6585 complex fit provided the velocity width constraints for the H Balmer
  line narrow (purple Gaussians) and broad components (blue and green Gaussians) and,
  subsequently, the Hβ λ4863 + [O iii] λλ4960,5008 fit constrained the [O iii] narrow
  (yellow Gaussian) and broad (orange and red Gaussians) velocity widths that were
  then used in the Hγ λ4342 + [O iii] λ4364 fit. Note that additional faint lines
  (e.g., He i λ5017) were included in the fit in the middle panel. Careful accounting
  for the residual broad flux has a significant impact on the derived nebular reddening,
  temperature, metallicity, and N/O abundance.\r\n\r\nDownload figure:\r\n\r\nStandard
  imageHigh-resolution image\r\nThe [O iii] λλ4960,5008 doublet lines are also well
  fit by a narrow Gaussian plus double Gaussian broad component profile, with the
  relative fluxes of each component constrained to the theoretical ratio. While the
  narrow-component FWHM was set to the velocity width of the narrow Balmer lines,
  convolved with the LSF, we allowed the FWHM of the two broad [O iii] components
  to vary freely and found widths of ∼890 km s−1 and ∼2980 km s−1, respectively. The
  similarity between the [O iii] and H i velocity widths of the broad components argues
  against emission from an AGN directly (where high densities cause collisional de-excitation
  of [O iii]) and is more consistent with stellar or AGN driven winds (e.g., Y. I.
  Izotov & T. X. Thuan 2008; G. Gräfener & J. S. Vink2015; G. Gräfener et al. 2017;
  C. J. Burke et al. 2021). Interestingly, the broad components of the H i lines compose
  a larger fraction of their total flux (∼20% and 10%, respectively) than [O iii]
  (∼10% and 5%, respectively).\r\n\r\nThe resulting fit to the Hβ + [O iii] λλ4960,5008
  complex is shown in the middle panel of Figure 3 to be an excellent fit, with minimal
  residuals. The exquisite S/N of the GLIMPSE spectrum also reveals broad wings on
  the [O iii] λ4364 profile, as seen in the left panel of Figure 3. Therefore, we
  also applied the narrow Gaussian plus double Gaussian broad component profile to
  [O iii] λ4364, constraining the velocity widths to the values measured for [O iii]
  λλ4960,5008.\r\n\r\nDouble broad components with similar velocity widths (750 and
  2500 km s−1, respectively) are seen in the z ∼ 0 extreme emission-line galaxies,
  J1044+0353 and J1418+2102, reported in D. A. Berg et al. (2021). However, each broad
  component observed in these nearby analogs only accounts for 1%–3% of the total
  H i flux. This sort of broad component emission from the Balmer H and [O iii] lines
  with widths (1000–2000 km s−1) and fractional fluxes of 1%–2% is commonly found
  in spectra of blue compact dwarf galaxies (BCDs; e.g., Y. I. Izotov et al. 2006,
  2007). This suggests that bulk motion of the gas is typical in these metal-poor,
  bursty environments, but for a larger mass of gas in RXCJ2248-ID3.\r\n\r\nThe sensitive
  accounting of broad component emission afforded by the deep GLIMPSE-D spectra is
  important because even a small fraction of broad emission around H emission line
  can significantly affect the fit to weak lines such as [N ii] λλ6550,6585 (e.g.,
  D. A. Berg et al. 2021). In RXCJ2248-ID, the broad components compose a significant
  fraction of the total H and [O iii] fluxes, and so are critical to properly measure
  not only the [N ii] λ6585 emission but also the [O iii] λ4364, Hβ, [O iii] λλ4960,5008,
  and Hα narrow-line fluxes. For this reason, we adopt the narrow-line fluxes from
  our best multicomponent fits for the remaining analysis; we reserve further investigation
  of the the broad emission for a forthcoming paper.\r\n\r\nAs noted above, the UV
  spectra do not have sufficient S/N to decompose narrow and possible broad components.
  As a result, density diagnostics and relative abundance ratios determined from UV
  line ratios may include contributions from multiple kinematic components. If the
  broad components arise from gas with distinct physical conditions, this could introduce
  systematic offsets. We test the level of bias possible due to broad component contamination
  of narrow-line fluxes by adopting the relative narrow and broad component profiles
  of [O iii] λ5008 as a template for collisionally excited lines. The broad component
  areas overlap with the narrow profile such that the broad components are responsible
  for 8.6% and 2.2% of the narrow-component flux, or 10.8% in total. We use this fraction
  to set the upper contamination limit of potential broad components to the UV emission
  lines and determine the impact on nebular density, temperature, and abundance calculations
  in Section 4.4.\r\n\r\n2.3. Reddening Correction\r\nThe observed Balmer decrement
  of the narrow Hα/Hβ lines is FHα/FHβ = 3.48, implying either a moderate amount of
  dust is present or collisional enhancement of Hα. This value disagrees with the
  results of M. W. Topping et al. (2024), who measured an observed decrement of 2.55
  ± 0.05 that they found to be consistent with no dust attenuation. Similarly, A.
  Crespo Gómez et al. (2025) used high-resolution NIRSpec/G395H data to fit multiple
  component Balmer decrements for RXCJ2248-ID3, finding a narrow-component FHα/FHβ
  = 2.7 that is consistent with no attenuation, but broad- and very broad-component
  decrements of 4.3 and 6.6, respectively, that imply differential extinction. We
  too find higher FHα/FHβ ratios for the broad components, but the source of this
  increase is not clear; it could indicate higher dust in the broad component gas,
  as suggested by A. Crespo Gómez et al. (2025), or result from significant collisional
  enhancement of Hα.\r\n\r\nFortunately, the GLIMPSE-D spectrum provides a significant
  increase in S/N in the continuum, allowing for more robust fitting of broad components,
  including in the Hγ and [O iii] λ4364 and λ5008 lines. Fitting the broad components
  directly in the [O iii] lines offers the advantage over previous works that we do
  not need to correct for broad component contamination with differential extinction
  in our Te calculation. Furthermore, by fitting the broad components in Hγ we were
  able to examine the narrow-component Hβ/Hγ ratio, finding a decrement of FHβ/FHγ
  = 2.16 that is consistent with very little dust (see Table 2). Note that we do not
  consider the Hβ/Hδ ratio here because the Hδ line is not strong enough to robustly
  fit the broad components in a consistent manner with the profile fitting of the
  Hγ, Hβ, and Hα lines.\r\n\r\nTable 2. Rest UV+Optical Emission-Line Fluxes\r\n\r\nIon+Wavelength\tI(λ)/I(C
  iii])\tEW\r\n(Å)\t \t(Å)\r\nN iv] λ1483.33\t42.78 ± 1.61\t6.67\r\nN iv] λ1486.50\t102.0
  ± 0.82\t15.9\r\nHe iiλ1640.42\t22.46 ± 197\t4.88\r\nO iii] λ1666.15\t85.84 ± 0.59\t18.9\r\nN
  iii] λ1750a\t38.59 ± 0.64\t9.18\r\nSi iii] λ1883.00\t5.01 ± 3.25\t1.32\r\nSi iii]
  λ1892.03\t8.25 ± 1.98\t2.21\r\nC iii] λ1906.68\t35.11 ± 0.31\t9.65\r\n[C iii] λ1908.73\t64.89
  ± 0.25\t17.9\r\nIon+Wavelength\tI(λ)/I(Hβ)\tEW\r\n(Å)\t \t(Å)\r\n[O ii] λ3728a\t4.09
  ± 2.05\t6.22\r\nHγ λ4341.66b\t47.41 ± 3.07\t73.8\r\n[O iii] λ4364.44b\t42.45 ± 1.92\t66.5\r\nHe
  i λ4472.73\t8.90 ± 0.39\t27.8\r\nN iii λ4641.94\t1.40 ± 0.20\t4.4\r\nHe ii λ4687.01\t1.33
  ± 0.29\t4.2\r\n[Ar iv] λ4712.69c\t2.30 ± 0.27\t10.3\r\nHe i λ4714.46c\t1.91 ± 0.19\t3.0\r\n[Ar
  iv] λ4741.49\t4.10 ± 0.26\t13.0\r\nHβ λ4862.71b\t100.0 ± 4.4\t356\r\n[O iii] λ4960.29b\t230.5
  ± 9.0\t877\r\n[O iii] λ5008.24b\t708.9 ± 27.5\t2791\r\nHα λ6564.60b,d\t331.8 ± 14.4\t1755\r\nHα
  λ6564.60b,e\t274.1 ± 11.9\t1457\r\n[N ii] λ6585.27\t7.08 ± 0.91\t12.8\r\n[S ii]
  λ6718.29\t0.68 ± 0.29\t4.78\r\n[S ii] λ6732.67\t0.81 ± 0.30\t4.74\r\nE(B − V)\t\t⋯\r\nFC
  III]\t11.58 ± 0.49\t⋯\r\nb\t6.94 ± 0.15\t⋯\r\nNotes. Reddening-corrected emission-line
  intensities of lines used in this analysis from the archival rest-UV and GLIMPSE
  rest-optical JWST/NIRSpec spectra for RXCJ2248-ID3. Note that no scaling was performed
  between the archival UV and GLIMPSE-D optical pointings (not needed for this work).
  Thus, UV fluxes are given relative to the FC III]λλ1907,09 × 100 and optical fluxes
  are given relative to FHβ × 100. The last three rows list the dust attenuation derived
  using the J. A. Cardelli et al. (1989) reddening law and the rest-frame C iii] λλ1907,09
  and Hβ flux in units of 10−18 erg s−1 cm−2. Additionally, the fluxes reported here
  are for a single image of RXCJ2248 (ID3), whereas M. W. Topping et al. (2024) report
  fluxes for coadded spectra of multiple images. aNote that N iii] λ1750 and [O ii]
  λ3728 fluxes are the integrated values for the N iii] λλ1746,1748,1749,1752,1754
  quintuplet and [O ii] λλ3727,3730 doublet, respectively. bEmission-line profile
  was best fitted with a narrow Gaussian and two broad Gaussian components; only the
  corrected narrow-line flux is listed here (see Section 2.2 and Figure 3). c[Ar iv]
  λ4713+He iλ4714 is a blended line profile at the observed resolution. Thus, the
  [Ar iv] λ4713 is determined by subtracting the He iλ4714 flux, which is predicted
  from the He i λ4473 flux. dUncorrected for collisional excitation. eCorrected for
  collisional excitation.\r\n\r\nDownload table as: \r\nASCIITypeset image\r\n\r\nThe
  reddening due to dust, characterized by E(B − V), was determined by comparing the
  observed Balmer decrements with the theoretical Balmer ratios assuming case B and
  an extinction law, for which we tested the parameterization from both J. A. Cardelli
  et al. (1989) and D. Calzetti et al. (2000). The E(B − V) value for a given Balmer
  ratio was determined iteratively until convergence, recomputing the H i theoretical
  ratio using the updated electron temperature from the reddening-corrected [O iii]
  λ4364/λ5008 flux ratio and density from the reddening-corrected N iv] λ1483/λ1487
  flux ratio in each iteration. In this way, the reddening, electron temperature,
  and electron density were solved for simultaneously and consistently.\r\n\r\nA greater
  enhancement of the observed FHα/FHβ decrement than of the FHβ/FHγ decrement can
  arise under high-density conditions, where collisional excitation selectively enhances
  the lowest excited level (n = 2; requires lowest energy to excite), leading to higher
  Hα flux relative to Hβ and Hγ. To assess whether such an enhancement is physically
  plausible, we examined the Cloudy photoionization models (M. Chatzikos et al. 2023;
  C. M. Gunasekera et al. 2023) presented in Z. Martinez et al. (2025), which span
  a wide range of nebular densities (up to ne = 109 cm−3). For the nebular conditions
  determined in this work (i.e., Te, , Z, N/O; see Section 4), densities of ne ∼ 106
  cm−3 are needed to produce the observed Hα enhancement while minimally affecting
  Hβ and Hγ. Although this density is roughly an order of magnitude higher than the
  values measured in M. W. Topping et al. (2024) and in this study (see Section 4.1
  and Table 3), it could indicate that the interstellar medium (ISM) contains unresolved
  clumps of even higher density than the volume-weighted values probed by the density
  diagnostics used in this work. We, therefore, attribute the observed Hα excess to
  collisional enhancement.\r\n\r\nTable 3. Nebular Conditions and Abundances for RXCJ2248-ID3\r\n\r\nProperty\tIon.
  E\tUsed\tValue\r\n \t(eV)\t \t \r\nTemperatures:\t \t \r\nTe,high meas. (K)\t35.11–54.93\tne(N+3)\t1.97
  ± 0.03 × 104\r\nTe,int. used (K)\t23.33–34.83\tD. R. Garnett (1992)\t1.81 ± 0.02
  × 104\r\nTe,low used (K)\t13.62–35.11\tD. R. Garnett (1992)\t1.68 ± 0.02 × 104\r\nDensities:\t
  \t \t \r\nne(N+3) (cm−3)\t47.45–77.47\tTe,high\t\r\nne(Ar+3) (cm−3)\t40.74–59.81\tTe,high\t\r\nne(C+2)
  (cm−3)\t24.38–47.89\tTe,int.\t\r\nne(Si+2) (cm−3)\t16.35–33.49\tTe,int.\t\r\nne(S+)
  (cm−3)\t10.36–23.33\tTe,low\t\r\nO Abundances:\r\nO+/H+ (×10−5)\t13.62–35.11\tTe,low;
  ne(Si+2)\t0.186 ± 0.148\r\nO+2/H+ (×10−5)\t35.11–54.93\tTe,high; ne(Ar+2)\t5.473
  ± 0.261\r\n \t \t7.753 ± 0.023\r\nIonization Parameters:\r\nlogUint.(O32)\t13.62–54.93\tne
  = 104 cm−3\t−1.24 ± 0.23\r\nlogUhigh(N43)\t29.60–77.47\tne = 105 cm−3\t−0.69 ± 0.10\r\nN
  Abundances:\r\nN+3/O+2\t47.45–77.47\tTe,high; ne(N+3)\t0.277 ± 0.043\r\nN+2/O+2\t29.60–47.45\tTe,high;
  ne(C+2)\t0.145 ± 0.070\r\nN+/O+\t14.53–29.60\tTe,low; ne(Si+2)\t0.367 ± 0.259\r\nICF(N+3/O+2)\t47.45–77.47\tTe,high;
  ne(N+3)\t1.542\r\nICF(N+2/O+2)\t29.60–47.45\tTe,high; ne(C+2)\t2.547\r\nICF(N+/O+)\t14.53–29.60\tTe,low;
  ne(Si+2)\t0.814\r\nlog(N/O)\t⋯\t⋯\t−0.368 ± 0.062\r\nlog(N/O)\t⋯\t⋯\t−0.434 ± 0.071\r\nlog(N/O)\t⋯\t⋯\t−0.525
  ± 0.257\r\nlog(N/O)all\t⋯\t⋯\t−0.375 ± 0.056\r\n⋯\t⋯\t−0.390 ± 0.035\r\nC Abundance:\r\nC+2/O+2\t24.38–47.89\tTe,int;
  ne(C+2)\t0.107 ± 0.014\r\nICF(C+2/O+2)\t24.38–47.89\tTe,int; ne(C+2)\t1.498\r\nlog(C/O)\t
  \t \t−0.795 ± 0.052\r\nSi Abundance:\r\nSi+2/O+2\t16.35–33.49\tTe,low; ne(Si+2)\t0.005
  ± 0.001\r\nICF(Si+2/O+2)\t16.35–33.49\tTe,low; ne(Si+2)\t3.507\r\nlog(Si/O)\t⋯\t⋯\t−1.781
  ± 0.157\r\nNote. Ionic and total abundances for RXCJ2248-ID3. Column (1) lists the
  property, while Column (2) lists the associated ionization potential energy range
  (eV), Column (3) lists the temperature and/or density used in the calculation, and
  Column (4) provides the final values. All calculations reported here only used the
  narrow components when multicomponent fits were performed. Note that the temperatures
  for the intermediate- and low-ionization zones were inferred from Te,high using
  the Te–Te relationships of D. R. Garnett (1992). Two ionization parameters are reported
  for the O32 and N43 indicators from Z. Martinez et al. (2025). The oxygen abundance
  was determined using the archival [O ii] λ3728 detection and the new [O iii] λ5008
  fit. N/O was determined using four different ion+ICF (from Z. Martinez et al. 2025)
  combinations: (1) optical N+/O+; (2) UV N+2/O+2; (3) UV N+3/O+2; and (4) combination
  (N++N+2+N+3)/(O++O+2). C/O and Si/O were determined from the archival UV emission
  lines only.\r\n\r\nDownload table as: \r\nASCIITypeset image\r\n\r\nAccordingly,
  we adopted the reddening derived from Hγ/Hβ, mag using J. A. Cardelli et al. (1989)
  (the D. Calzetti et al. (2000) value is similar at E(B − V) = 0.050 ± 0.1215 mag),
  and corrected all emission lines for the resulting (minimal) dust attenuation. We
  used the D. Calzetti et al. (2000) reddening law for the rest-UV emission lines
  (λ < 3200 Å) and the J. A. Cardelli et al. (1989) reddening law for the rest-optical
  emission lines (λ > 3200 Å). After applying the reddening correction, the Hα/Hβ
  ratio still shows a collisional excess of 0.204 above the theoretical value; we
  correct for this excess and report a final FHα = 1.985 × 10−17 erg s−1 cm−2.\r\n\r\nThe
  adopted reddening and dereddened line intensities are listed in Table 2 for all
  line fluxes used in this work. Note that rest-UV and rest-optical lines should not
  be compared or combined in line ratios. Since the rest-UV and rest-optical spectra
  were obtained during different observing runs with distinct pointings and strategies,
  we report the UV lines relative to FCIII]λλ1907,1909 × 100 and the optical lines
  relative to FHβ × 100, without applying any relative scalings between the two datasets.\r\n\r\n3.
  Wolf Rayet Stars at z = 6.1\r\nThe WR stage of massive star evolution is an important,
  short-lived phase that can have significant effects on the chemical composition
  of the local ISM. We provide a brief overview here (see, e.g., P. A. Crowther 2007,
  for a more thorough review). WR stars are massive stars that have entered the core
  He-burning phase and have lost their outer envelope either via strong stellar winds
  or due to binarity effects (i.e., stripping via Roche Lobe overflow or mergers).
  The first phase of WR stars occurs when the outer H layer has been ejected, revealing
  the H core-burning products such that their spectra are characteristically He and
  N rich but are H-poor. Such stars are known as nitrogen-type WR, or WN, stars, and
  are often identified by strong N iii, N iv, and N v emission lines, especially the
  broad optical “blue bump” near λ4650. The blue bump is a complex of features, including
  N iii λλ4634,4642, C iii λ4649,4667, Fe iii λ4660, and He ii λ4687. Subsequently,
  stars that are massive enough for core He-burning and for their winds to remove
  their outer He envelope and expose the produced C enter the WR carbon (WC) phase.
  WC stars also have strong, broad He ii emission and strong C and O emission, such
  that they are identified by the optical WR C iv λλ5803,5814 doublet (the “red bump”).
  As a result, the typically very strong winds of the WR phase can produce significant
  N enrichment during the WN phase and drive strong C ejection during the WC phase.
  After the WC phase, a WR-oxygen phase may ensue, but we forgo discussion of this
  phase here.\r\n\r\nThe rest-frame UV and optical spectra shown in Figure 2 can be
  used to characterize the WR nature of the stellar population in RXCJ2248-ID3. Both
  the UV and optical He ii emission features are kinematically broadened compared
  to the narrow nebular emission features in RXCJ2248-ID3, indicative of WR or VMS
  winds. F. Martins et al. (2023, 2025) have shown that young star-forming regions
  dominated by VMSs can be distinguished from WR stars using the morphology of the
  blue and red bumps. In particular, VMSs produce blue bumps with He ii λ4687 emission
  but little to no N iii emission and red bumps with narrow C iv λλ5803,5814 emission.
  Thus, strong detections of N iii in the blue bump favor a WN interpretation (e.g.,
  F. Martins et al. 2023; D. A. Berg et al. 2024; T. E. Rivera-Thorsen et al. 2024).\r\n\r\nThe
  upper right-hand panel of Figure 2 highlights the blue bump spectral regime, showing
  weak, broad He ii and N iii λ4642 in RXCJ2248-ID3, both of which are characteristic
  of metal-poor WN stars. Just redward of the N iii λ4642 line in the blue bump (but
  blueward of [Fe iii]), a second less prominent emission feature is seen, but it
  is difficult to determine whether this is due to C iii or O ii emission, or both.
  Furthermore, the red C iv bump is not detected, suggesting little to no contributions
  from WC stars or VMSs in the spectrum. Thus, we only significantly detect the blue
  WR bump, suggesting that WN stars are likely present.\r\n\r\n4. Nebular Properties\r\nUsing
  the updated narrow-component emission-line fits presented in Section 2.2, we determined
  the nebular properties of RXCJ2248-ID3. Following D. A. Berg et al. (2021), we adopt
  the four-zone ionization model to account for the high-ionization emission observed.
  In this model, the ionization potential energy ranges of N+, S+2, O+2, and He+2
  define the low-, intermediate-, high-, and very high-ionization zones, respectively.
  For all calculations, we use the PyNeb package in Python with the atomic data adopted
  in D. A. Berg et al. (2019), which includes a six-level atom model for oxygen in
  order to utilize the UV O iii] λ1666 line. Below, we determine temperatures and
  densities, although Te(O+2) and ne(N+3) were codetermined during the iterative reddening
  calculation (see Section 2.3) in Section 4.1, ionization parameters in Section 4.2,
  and abundances in Section 4.3.\r\n\r\nWe note that the UV spectra do not have sufficient
  S/N to decompose narrow and broad components following the same method as the optical
  lines. As a result, density diagnostics and abundances determined from UV lines
  may include contributions from multiple kinematic components, while optical temperatures,
  densities, and abundances are derived from narrow components alone. If the broad
  component arises from gas with distinct physical conditions, this could introduce
  systematic offsets. For this reason, we examine the potential impact of UV broad
  components in Section 4.4.\r\n\r\n4.1. Temperature and Density\r\nOne of the unique
  characteristics of RXCJ2248-ID3 is its large number of density-sensitive emission-line
  ratios. M. W. Topping et al. (2024) previously reported densities from the three
  UV line ratios of Si iii] λ1883/λ1892, characterizing the intermediate-ionization
  zone, C iii] λ1907/λ1909, characterizing the intermediate- to high-ionization zone,
  and N iv] λ1483/λ1486, characterizing the high- to very high-ionization zone. The
  new high-S/N optical spectra enables us to measure, for the first time, densities
  from the low-ionization [S ii] λ6717/6731 ratio and the high- to very high-ionization
  [Ar iv] λ4713/λ4741 ratio.\r\n\r\nWe use our narrow-component dereddened flux measurements
  to compute densities for all five line ratios and the high-ionization zone temperature
  from the [O iii] λ4364/λ5008 ratio. The high-ionization zones Te(O+2) and ne(N+3)
  were simultaneously determined during the iterative reddening calculation in Section
  2.3 to account for the sensitivities of both diagnostics. If the low density limit
  was assumed instead (ne ≲ 102 cm−3), as is common practice at low-redshift, the
  observed [O iii] λ4364/λ5008 flux ratio would lead to unphysical temperatures (i.e.,
  above the limit set by H cooling of ∼2.5 × 104 K). Thus, a physical and robust solution
  requires high densities to properly account for the reduced λ5008 flux due to collisional
  de-excitation. Furthermore, Z. Martinez et al. (2025) recently showed that densities
  derived from both optical and UV diagnostics underpredict the true volume-averaged
  density in multiphase, high-density systems, with more severe underprediction from
  the optical diagnostics. Therefore, it is necessary to use UV density diagnostics
  in high-density environments, though the true density will still be underestimated
  in multiphase gas (see, e.g., Figure 11 of Z. Martinez et al. 2025).\r\n\r\nFor
  the high-ionization zone, we found a Te(O+2) = 1.97 ±0.03 × 104 K and ne(N+3) cm−3,
  which is consistent with the density of ne(N+3) cm−3 reported by M. W. Topping et
  al. (2024), but lower than their temperature of 2.46 ± 0.26 × 104 K due to our broad
  component fits of both [O iii] λ4364 and λ5008. Adopting our Te(O+2) as the high-ionization
  temperature (Te,high), we then applied the Te–Te relations of D. R. Garnett (1992)
  to estimate the intermediate-ionization temperature (Te,int.) and low-ionization
  temperature (Te,low).\r\n\r\nThe determined temperatures were used for the subsequent
  density calculations in their respective ionization zones. Note that the [Ar iv]
  λ4713 and He i λ4714 lines are blended in the G395M grating. Therefore, we corrected
  the [Ar iv] λ4713 flux for the He i λ4714 contribution, predicting the He i λ4714
  flux from the measured He i λ4473 flux and the theoretical He i λ4714/λ4473 ratio
  (∼0.21 for the conditions in RXCJ2248-ID). The resulting densities, all of which
  fall within their respective diagnostic ranges, and temperatures are reported in
  Table 2.\r\n\r\nRemarkably, RXCJ2248-ID3 is one of few galaxies, and the only galaxy
  yet at high redshifts, to have significant (>3σ) electron density measurements from
  five different ions that span a large ionization range (∼10–77 eV). Furthermore,
  the densities in RXCJ2248-ID3 appear to be organized into an interesting nebular
  stratification. The UV emission lines trace the densest gas, with ne(N+3) = 2.65
  × 105 cm−3 in the highest-ionization gas, followed by ne(C+2) = 7.94 × 104 cm−3
  and ne(Si+2) = 4.77 × 104 cm−3. In contrast, the optical high-ionization lines are
  emitted from regions of lower densities: the optical [Ar iv] diagnostic has an overlapping
  ionization energy range with the UV N iv] diagnostic but a density that is an order
  of magnitude lower.\r\n\r\nThere are two possible interpretations of the measured
  array of densities. First, since the UV lines also have higher excitation energies,
  they could originate preferentially from hotter, denser clumps. This would imply
  a strongly inhomogeneous ISM, in which compact, high-pressure structures dominate
  the UV line emission while somewhat more diffuse gas produces much of the optical
  emission. Alternatively, the multiphase ISM may span a smaller dynamic range of
  densities than we measure due to the suppression of the optical diagnostics. Z.
  Martinez et al. (2025) showed that for an ISM with a mix of low- (e.g., 103 cm−3)
  and high-density gas (e.g., 105 cm−3) that has a true volumetric density that is
  somewhere in between, the low-ionization optical diagnostics will always be significantly
  biased low, close to the low-density gas value, until the fraction of high-density
  gas is very high (e.g., >95%). This effect occurs when ne-diagnostic line ratios
  have low critical densities (e.g., ne,crit([S ii])≈2 × 103–5 × 103 cm−3), such that
  emission from the high-density gas is collisionally suppressed beyond detection.
  The magnitude of this effect decreases with increasing critical density such that
  [S ii] is significantly affected, [Ar iv] is moderately affected (ne,crit ≈ 2 ×
  104–2 × 105 cm−3), and the UV Si iii], C iii], and N iv] (ne,crit ≈ 5 × 104–5 ×
  1010 cm−3) are minimally affected, albeit still biased low. In this scenario, there
  would still be density stratification, but with smaller differences.\r\n\r\nAll
  together, the nebular diagnostics in RXCJ2248-ID3 support a picture of a multiphase
  nebula with density and temperature stratification, likely reflecting a clumpy ISM
  shaped by the feedback and local radiation field variations of bursty star formation
  (see, also, N. Choustikov et al. 2025; Y. Harikane et al. 2025b; M. Usui et al.
  2025). This picture is also consistent with the density stratification that has
  been reported for dwarf galaxies both near and far (e.g., B. L. James et al. 2016;
  D. A. Berg et al. 2021; M. Mingozzi et al. 2022; X. Ji et al. 2024; M. W. Topping
  et al. 2024), but with typical densities increasing with redshift (e.g., Y. Isobe
  et al. 2023; Abdurro’uf et al. 2024; Z. Martinez et al. 2025; M. W. Topping et al.
  2025a).\r\n\r\n4.2. Ionization Parameter\r\nThe ionization parameter of RXCJ2248-ID3,
  , determined using the typical O32 = Iλ5008/Iλ3728 diagnostic is reported in M.
  W. Topping et al. (2024) to be in the high range of to −1. We recompute the ionization
  parameter for RXCJ2248-ID3 using the O32 and N43 = Iλλ1483,1486/Iλ1750 diagnostics
  from Z. Martinez et al. (2025) that are calibrated for densities in the 102 ≤ ne(cm−3)
  ≤ 106 range. We estimate a using O32, which is consistent with the value reported
  by M. W. Topping et al. (2024), and using N43. Note, however, that the O32 diagnostic
  is very sensitive to the assumed density (Z. Martinez et al. 2025), making this
  value highly uncertain in dense gas. For example, densities of ne = 103–105 cm−3
  would lead to a range of to −2.04, respectively.\r\n\r\n4.3. Abundances\r\nHere,
  we present direct-method abundances of oxygen-to-hydrogen (O/H) (Section 4.3.1),
  N/O (Section 4.3.2), carbon-to-oxygen (C/O) (Section 4.3.3), and silicon-to-oxygen
  (Si/O) (Section 4.3.4) for RXCJ2248-ID3 using narrow-line flux ratios and the measured
  temperatures and densities presented in Section 4.1. Nearly all of the optical lines
  used in this work have sufficient S/N to simultaneously constrain broad and narrow
  emission components, but there are a few exceptions, all of which are low-ionization
  lines. The [O ii] λ3728 line was not covered by the GLIMPSE-D spectrum and so lacks
  the S/N to fit broad components. Both [N ii] λ6585 and [S ii] λλ6718,6733 are covered
  in the high-S/N GLIMPSE-D spectrum but are either blended with stronger features
  or too weak to fit broad components. On the other hand, the [O ii] and [S ii] lines
  have low critical densities around ne,crit ∼ 103 cm−3 such that any moderate to
  high-density broad components are likely collisionally de-excited away. Their narrow-component
  fluxes could also be significantly reduced by collisional de-excitation; however,
  the missing [O ii] emission is likely small in the absolute sense for such a high-ionization
  object. Emission from [N ii] is less likely to be collisionally de-excited (ne,crit
  ∼ 105 cm−3), so a hidden broad component could lead to an overestimate of the N/O
  abundance, but this effect would be somewhat countered by the underestimated [O
  ii] flux. In the end, the consistency of N/O derived independently from UV and optical
  tracers in Section 4.3.2 below suggests that these effects do not significantly
  impact our results.\r\n\r\nTo calculate the total or relative abundance of an element,
  we determine and sum the individual observed ions and then apply an ionization correction
  factor to account for unseen prominent ionization states. The abundance of an individual
  ionic species, Xi, relative to hydrogen is determined as\r\n\r\nwhere jλ(i) is the
  emissivity determined for the appropriate ionization zone temperature and density.
  Given the tendency of the optical density diagnostics to severely underestimate
  the density in high-density environments, we instead adopt the UV-derived densities.
  Note that the abundances presented below have not been corrected for the fraction
  of atoms embedded in dust. However, the level of depletion onto dust grains is expected
  to be small for the low metallicity of RXCJ2248-ID3 (e.g., A. Rémy-Ruyer et al.
  2014; F. Galliano et al. 2018; J. Roman-Duval et al. 2022). Y. Isobe et al. (2026)
  also infer negligible dust depletion for RXCJ2248-ID3 based on the high value of
  Si/O that that they determine, but this is inconsistent with the value we determine
  below. Details of elemental abundance determinations are given below.\r\n\r\n4.3.1.
  Oxygen Abundance\r\nWe determine the total O/H abundance as the sum of the O+/H+
  and O+2/H+ ionic abundances, determined from the [O ii] λ3728 and [O iii] λλ4960,5008
  optical emission lines. We observe no strong O0 or O+3 emission, indicating that
  contributions from other ions are negligible. The resulting ionic and total oxygen
  abundances are presented in Table 2. Similar to M. J. Hayes et al. (2025) and Z.
  Martinez et al. (2025), we find that one of the most significant effects of accounting
  for high densities is the resulting decrease in electron temperature and subsequent
  increase in oxygen abundance (see, also, H. Katz et al. 2023). In our work, this
  results both from accounting for the missing [O iii] λ5008 flux due to collisional
  de-excitation and from correcting the narrow emission for broad emission components
  at their base. M. W. Topping et al. (2024) also incorporated the high densities
  seen in RXCJ2248-ID3 but did not have the S/N to fit the broad emission components
  in both [O iii] λ5008 and λ4364. As a result, we measure an oxygen abundance of
  . Note that if unresolved high-density clumps (ne ≳ 105 cm−3) are present (as suggested
  in, e.g., Section 2.3), it could introduce additional uncertainty by biasing the
  luminosity-weighted [O iii] λ4364/λ5008 ratio to higher densities, which would drive
  the derived Te higher and O/H abundance lower. However, Z. Martinez et al. (2025,
  see Figure 11), showed that the use of high-critical density UV density diagnostics
  largely mitigate this effect in a density stratified medium.\r\n\r\n4.3.2. Relative
  N/O Abundance\r\nThe extraordinary simultaneous detections of [N ii] λ6585, N iii]
  λ1750, and N iv] λλ1483,1487 enable multiple determinations of the N/O abundance.
  Therefore, we calculate N/O abundances using four different ionic methods\r\n\r\n\r\n\r\n\r\nwhere
  [O ii] λ3728 is used for the N+/O+ determination, O iii] λ1666 is used for the N+2/O+2
  and N+3/O+2 calculations, and X(N+i) and X(O+i) are the N and O ionization fractions,
  respectively. We use the density-dependent ICFs from Z. Martinez et al. (2025),
  who provide prescriptions for densities of ne = 102, 103, 104, 105, and 106 cm−3.
  We, therefore, round our density measurements to the nearest order of magnitude
  and use the intermediate-ionization for the N+/O+ ICF and the high-ionization for
  the N+2/O+2 and N+3/O+2 ICFs. The resulting N ICFs and N/O abundances are reported
  in Table 3.\r\n\r\nThe four N/O determinations of RXCJ2248-ID3 are in close agreement,
  far above the expected value for its metallicity. Visually, this is shown in the
  upper left-hand panel of Figure 4, which plots the relative N/O versus O/H abundance
  with RXCJ2248-ID3 marked by purple diamonds. The traditional N/O–O/H trend has been
  established by many z ∼ 0 studies of H ii regions and galaxies (gray points: C.
  Esteban et al. 2002, 2009, 2014; L. S. Pilyugin & T. X. Thuan 2005; L. van Zee &
  M. Haynes 2006; J. García-Rojas & C. Esteban 2007; Á. R. López-Sánchez et al. 2007;
  D. A. Berg et al. 2012, 2016,2019, 2020). The empirical trend is a bimodal relationship,
  with a flat trend due to primary (or metallicity-independent) N production at low
  metallicities () and an increasing N/O trend with O/H as secondary (or metallicity-dependent)
  N production becomes increasingly important at higher metallicities (). As a visual
  guide, the primary N/O plateau from D. A. Berg et al. (2019, dashed purple line)
  is shown and the empirical stellar curve from D. C. Nicholls et al. (2017, solid
  green line) is shown as an example of the full primary and secondary curve.\r\n\r\nZoom
  InZoom OutReset image size\r\nFigure 4. Relative C and N abundance trends versus
  metallicity. Nitrogen to oxygen ratio versus oxygen abundance for star-forming galaxies
  is plotted in the left panels, while C/O ratio versus oxygen abundance is plotted
  in the middle panels, and carbon to nitrogen abundance versus oxygen abundance is
  plotted in the right panels. Top row: RXCJ2248-ID3 is shown relative to the observed
  z ∼ 0 trend and other high-z galaxies. The abundances for RXCJ2248-ID3 are shown
  as purple diamonds, where multiple N/O points show the measurements for each ionic
  N/O calculation method. For comparison, we also plot the abundances derived for
  RXCJ2248-ID3 by M. W. Topping et al. (2024) as turquoise squares. The typical bimodal
  N/O trend is characterized by local dwarf (gray diamonds; L. van Zee & M. Haynes
  2006; D. A. Berg et al. 2012, 2016, 2019) and spiral galaxy (gray circles; C. Esteban
  et al. 2002, 2009, 2014; L. S. Pilyugin & T. X. Thuan 2005; J. García-Rojas & C.
  Esteban 2007; Á. R. López-Sánchez et al. 2007; D. A. Berg et al. 2020) H ii region
  measurements. The primary N/O plateau from D. A. Berg et al. (2019) is shown as
  a dashed purple line, while the solid green line is the empirical stellar curve
  from D. C. Nicholls et al. (2017). Additional C/O literature measurements for dwarf
  galaxies are from M. A. Peña-Guerrero et al. (2017) and P. Senchyna et al. (2017).
  Abundances for z > 2 galaxies from Z. Martinez et al. (2025) are plotted as blue
  plus signs for galaxies with UV N+2/O+2 derived abundances and pentagons for optical
  N+/O+ derived abundances. Bottom row: The same observed samples are shown as the
  top row, but with the z ∼ 0 sample represented by the shaded gray regions. The observed
  abundances of RXCJ2248-ID3 are compared to updated dual-burst chemical evolution
  models of C. Kobayashi & A. Ferrara (2024, string of circles), color coded by age
  since onset of the second burst. The models have been modified to reproduce both
  the enhanced N/O and relatively deficient C/O observed for RXCJ2248-ID3, which requires
  enrichment from WN but very little WC enrichment, as expected at low metallicities.\r\n\r\nDownload
  figure:\r\n\r\nStandard imageHigh-resolution image\r\nFor comparison, we plot the
  high-quality high-redshift N/O measurements that were calculated in a consistent
  manner as the present work (with direct-method Te and ne determinations and ne-dependent
  ICFs) by Z. Martinez et al. (2025). N/O abundances determined using N+2/O+2 are
  plotted as blue + symbols, while N+/O+ determinations are plotted as blue pentagons.
  Of these galaxies, the closest comparison to RXCJ2248-ID3 is CEERS-1019 (see, also,
  R. Marques-Chaves et al. 2024), while only GDS 3073 and GN-z11 have higher relative
  N/O abundances and only GDS 3073 is more enhanced in N/O for its O/H abundance.\r\n\r\nWe
  find that all four ionic methods produce consistently high N/O values within their
  uncertainties, with a weighted mean of . This is an important result because RXCJ2248-ID3
  is the first galaxy to have consistently enhanced N/O abundances measured from both
  the rest-frame UV high-ionization and the optical low-ionization emission lines.
  Furthermore, measuring consistent N/O values from three different ionic methods
  strengthens our confidence in the robustness of the N/O measurement, although uniform
  N/O across the ionization structure of the nebula is not a given in a stratified
  medium. While there is strong evidence for a stratified, or perhaps very clumpy,
  density structure in RXCJ2248-ID, the N/O abundance appears to be well mixed.\r\n\r\n4.3.3.
  Relative C/O Abundance\r\nMeasuring the C/O abundance provides a crucial comparative
  baseline for interpreting the origin of elevated N/O in RXCJ2248-ID3. Similar to
  N, C has a pseudosecondary17 production pathway, but the dominant nucleosynthetic
  sources and timescales differ for C and N. Briefly, both C and O are primarily produced
  in massive stars (>8 M⊙) on relatively short timescales such that the C/O ratio
  is a relatively stable tracer of massive star yields, although some C is produced
  via low- to intermediate-mass AGB stars (∼1.5–3 M⊙). In contrast, some N is produced
  by massive stars (e.g., through rotational mixing and WR winds) but most N comes
  from intermediate-mass AGB stars (∼4–8 M⊙), which release N on longer timescales
  (∼200 Myr). Therefore, N/O and C/O together serve as diagnostics of the recent star
  formation history, constraining the recent enrichment mechanisms of galaxies (e.g.,
  D. R. Garnett 1990; R. B. C. Henry et al. 2000; C. Chiappini et al. 2003; E. Pérez-Montero
  & T. Contini 2009; D. A. Berg et al. 2019; E. Pérez-Montero et al. 2021).\r\n\r\nRelative
  C/O abundances are typically determined using the C iii] λλ1907,1909/O iii] λ1666
  ratio to calculate C+2/O+2 and assuming that C/O ≈ C+2/O+2. This method is sometimes
  used alone owing to the fact that (1) C+2 and O+2 have somewhat similar ionization
  potentials (24.38 and 35.12 eV, respectively), (2) the upper levels of the λ1666
  and λλ1907,1909 transitions have similar excitation potentials (∼6.5 and ∼7.5 eV,
  respectively), and (3) the integrated fluxes of λ1666 and λλ1907,1909 are not sensitive
  to collisional de-excitation for the densities measured here. However, for the high-ionization
  nebulae in RXCJ2248-ID3, it is important to account for contributions from the C+3
  species and any unseen species. We note that the C iv λλ1548,1550 doublet is clearly
  observed in the rest-UV spectrum of RXCJ2248-ID3, but these lines are resonant and
  can be affected by the C iv stellar wind feature and ISM absorption, and so determining
  the intrinsic flux and subsequent C+3 abundance is challenging. Instead, we use
  an ICF determined from the photoionization models presented in Z. Martinez et al.
  (2025) such that\r\n\r\nWe used the and a density of ne(C+2) ∼ 105 cm−3 to determine
  the C ICF. The resulting C ICF and C/O abundance are reported in Table 3.\r\n\r\nThe
  C/O and C/N abundances for RXCJ2248-ID3 are plotted in the upper middle and right-hand
  panels of Figure 4. Empirical trends of C/N at z ∼ 0 are found to be flat, albeit
  with significant scatter (see shading in Figure 4), suggesting that the dominant
  nucleosynthetic mechanisms of C are similar to those of N (e.g., D. R. Garnett et
  al. 1999; C. Esteban et al. 2014; D. A. Berg et al. 2016, 2019). However, while
  the production of both C and N appear to be metallicity-dependent, the scatter in
  their trend is consistent with differing production timescales due to stars of different
  masses. Thus, the variations observed in CNO abundance patterns of high-redshift
  galaxies may be the result of taking a snapshot of many galaxies at different times
  since their most recent onset of star formation.\r\n\r\nRXCJ2248-ID3 appears to
  have a similar CNO abundance pattern to other high-redshift N emitters, characterized
  by enhanced N/O but relatively deficient C/O such that their C/N is very deficient
  compared to the expectations from low-redshift trends. This suggests that these
  high-redshift N-emitting galaxies are enhanced in N relative to both O and C. If
  massive stars in the WN phase are present, they will have recently produced 14N
  at the expense of 12C through the CNO cycle, meaning C used as a catalyst in the
  cycle initiation will have been consumed as N is removed during the bottleneck step
  via dredged up, preventing the return of C at cycle completion. Thus, C/N-deficiency
  is consistent with a recent, intense episode of N enrichment and C consumption from
  WN stars. Conversely, if both N/O and C/O were elevated in tandem, it could point
  to broader enrichment by massive stars, such as enrichment from both WN and WC stars,
  whose contributions increase at higher metallicities.\r\n\r\n4.3.4. Relative Si/O
  Abundance\r\nDetecting Si iii] λλ1883,1892 in RXCJ2248-ID3 enables the rare opportunity
  to measure the silicon-to-oxygen (Si/O) abundance in a z > 5 galaxy (see, also,
  Y. Isobe et al. 2026, for Si/O in GN-z11). Silicon abundances are important for
  multiple reasons. Silicon is highly refractory, making the Si/O ratio a sensitive
  probe of dust depletion. Additionally, Si probes different channels of chemical
  enrichment than CNO elements, as it is primarily an α-element produced by CCSNe,
  but Type Ia SNe, AGB stars, and even pair-instability SNe are all expected to contribute
  to the total Si abundance. For RXCJ2248-ID3 we determine the Si/O abundance using
  the observed Si iii] λλ1883,1892/O iii] λ1666 ratio to calculate Si+2/O+2. Because
  Si+2 and O+2 have rather different ionization potentials (16.3 eV versus 35.1 eV,
  respectively), a Si ICF is required to convert Si+2/O+2 to total Si/O via\r\n\r\nSi
  ICFs have been reported previously (e.g., D. R. Garnett et al. 1995), but none account
  for the high-density conditions observed in RXCJ2248-ID3. Therefore, we determined
  a Si ICF = 3.507 using the photoionization models presented in Z. Martinez et al.
  (2025) using the and a density of ne(Si+2) ∼ 104 cm−3. Reported in Table 3, the
  resulting (Si/O) = −1.781 ± 0.157 abundance is typical of metal-poor dwarf galaxies
  (e.g., D. R. Garnett et al. 1995; Y. I. Izotov & T. X. Thuan 1999), consistent with
  normal massive star production and low dust depletion.\r\n\r\n4.4. Potential Impact
  of UV Broad Components\r\nThe exceptionally high S/N of the rest-optical GLIMPSE-D
  spectrum allows for broad emission component fits that the rest-UV spectrum does
  not. In Section 2.2, we found the broad emission component contribution to the narrow
  [O iii] λ5008 flux to be 10.8%. To examine the possible effects such contamination
  has on calculations of nebular conditions and abundances, we adopt 10.8% as the
  contamination upper limit to the UV emission lines. We first consider the impact
  on the UV density determinations, where we allow the broad components of the UV
  density-sensitive emission-line ratios to have densities ranging from 102–106 cm−3.
  After subtracting the potential broad component contribution, the revised densities
  change up to Δne(Si+2), Δne(C+2), and Δne(N+3) over the range of broad component
  densities considered. These values are within the reported uncertainties in Table
  3, with the exception of the ∼1.2σ deviation for Δne of C+2.\r\n\r\nNext, we tested
  the subsequent impact of UV densities that have been revised for possible broad
  components on the properties determined from rest-optical emission lines: Te(O+2),
  O/H, and N/O. For the range of Δne(N+3) above, the resulting K, which is within
  1σ–2σ of the reported value in Table 3. Similarly, the impact of the revised densities
  and temperatures on the oxygen abundance, dex, is also within 1σ–2σ. The impact
  is even smaller for the nitrogen abundance, with dex being much smaller than the
  N/O uncertainty.\r\n\r\nRelative UV abundances are impacted by changes in both the
  nebular conditions and the relevant abundance emission-line ratio. However, the
  resulting abundance deviations are small and within the original uncertainties:
  dex, dex, and dex. Thus, we conclude that while considering the impacts of hidden
  broad component contributions to the measured UV fluxes is important, the potential
  biases do not affect the main results or conclusions of this work.\r\n\r\n5. A Short
  Window of Intense WR Nitrogen Enrichment\r\nWe have presented evidence for WN stars
  in RXCJ2248-ID3 in two forms: first, the rest-frame optical WR blue bump discussed
  in Section 3 and shown in Figure 2; and second, a qualitative comparison of the
  CNO abundances to patterns expected for WR stars in Section 4.3 and Figure 4. Below,
  we examine the plausibility and impact of these WN stars by comparing RXCJ2248-ID3
  to expected trends for WR stars with metallicity (Section 5.1), testing whether
  stellar yields can reproduce the observed CNO abundance pattern (Section 5.2) and
  assessing whether RXCJ2248-ID3’s stellar population can produce its inferred mass
  of ionized N (Section 5.3). Together, these lines of investigation suggest that
  the enhanced N/O and suppressed C/O in RXCJ2248-ID3 represent a short-lived enrichment
  phase, unique to metal-poor, highly star-forming galaxies in the early Universe
  (Section 5.4).\r\n\r\n5.1. WN Stars: The Dominant WR Phase at Low Metallicity\r\nTo
  date, no individual resolved WR stars have been directly observed at metallicities
  as low as RXCJ2248-ID3 (Z ∼ 0.1Z⊙). This is due, in part, to the lack of sufficiently
  close (D ≲ 1 Mpc for the young, crowded clusters hosting WR stars), metal-poor,
  star-forming galaxies (see C. Kehrig et al. 2013 for the closest metal-poor WR galaxy),
  but a scarcity of WR stars in metal-poor environments is also expected because mass
  loss through stellar winds scales with metallicity. We show the trend of the number
  of WC/WN stars as a function of metallicity in Figure 5. The observed number of
  WC/WN stars in M31 (∼175% Z⊙), the Milky Way (MW; Z⊙), M33 (∼40%–110% Z⊙), the Large
  Magellanic Cloud (LMC; ∼40% Z⊙), and the Small Magellanic Cloud (SMC; ∼20% Z⊙) suggest
  that the number of the WN/WC number ratio increases with decreasing metallicity
  (e.g., G. Meynet & A. Maeder 2005; P. A. Crowther 2007; P. Massey et al. 2015; K.
  Neugent & P. Massey 2019). This is because weaker metal line-driven winds, rotation,
  or binary effects in metal-poor stars may be able to expose their nitrogen-rich
  layers and initiate the WN phase but be insufficient to strip the stellar He atmosphere
  and reveal the carbon-rich core to initiate the WC phase. Thus, if WR stars form
  at Z ∼ 10% Z⊙, they are expected to be overwhelmingly WN-type. Additionally, A.
  A. C. Sander et al. (2026) recently discovered a new class of WN–WO stars that point
  to a low-metallicity WR evolutionary channel in which stars pass directly from the
  WN to WO phase, potentially explaining spectra that show evidence for WN-like enrichment
  and hard ionizing radiation without clear WC signatures.\r\n\r\nZoom InZoom OutReset
  image size\r\nFigure 5. Observed and theoretical ratios of WC/WN star numbers as
  a function of metallicity. Observed values for the SMC, LMC, MW, and M31 were compiled
  by K. Neugent & P. Massey (2019), while newer values for M33 come from K. F. Neugent
  & P. Massey (2023). For comparison, we also plot the trend presented in P. Massey
  et al. (2017) for BPASS v2.0 binary stellar population synthesis burst models for
  12+log(O/H) > 8 (solid line green line), which we extrapolate to lower metallicities
  (dashed line). Enrichment from WR stars was used to explain the CNO abundances in
  GN-z11 by C. Kobayashi & A. Ferrara (2024). We note the metallicity for GN-z11 determined
  by Z. Martinez et al. (2025) is consistent with a WC/WN ratio of ∼0.1–0.2 and the
  metallicity for RXCJ2248-ID3 from the current work, which predicts a much lower
  WC/WN ratio of ∼0.03–0.10. Therefore, very little carbon enrichment from WC stars
  is expected for RXCJ2248-ID3.\r\n\r\nDownload figure:\r\n\r\nStandard imageHigh-resolution
  image\r\nThe spectral features of RXCJ2248-ID3 support the picture of WN star feedback
  at low metallicity. As shown in Figure 2, the He ii emission is moderately broadened,
  the N iii λ4642 line in the blue bump is prominent, and there is no evidence for
  the red bump C iv feature, all consistent with the presence of WN stars at low metallicity.
  The weakness of the He ii emission in terms of both flux and velocity width is expected
  for the low-metallicity environment of RXCJ2248-ID3 (∼10% Z⊙) due to reduced wind
  velocities and mass-loss rates (e.g., A. A. C. Sander et al. 2020). Similarly weak
  WN features have also been reported in the nearby metal-poor galaxy SBS 0335-052
  (Y. I. Izotov et al. 2006) and, at cosmic noon, the z ∼ 2.37 lensed galaxy the Sunburst
  Arc (T. E. Rivera-Thorsen et al. 2024) and the z ∼ 2.22 M4327 galaxy (M. Curti et
  al. 2025b).\r\n\r\nWe plot the WR blue bump profile of RXCJ2248-ID3 relative to
  the Sunburst Arc and M4327 in Figure 6. For ease of comparison, we convolve the
  Sunburst Arc R ∼ 2700 JWST/NIRSpec G140H spectrum to the R ∼ 1000 resolution of
  the RXCJ2248-ID3 spectrum. For M4327, we retrieved the G140M spectrum obtained as
  part of the Measuring Abundance at High Redshift with the Te Approach Survey (MARTA;
  E. Cataldi et al. 2025) from the Dawn JWST Archive (DJA; K. E. Heintz et al. 2024;
  A. de Graaff et al. 2025). Both the Sunburst Arc and M4327 spectra were scaled to
  similar He ii strengths as RXCJ2248-ID3. These spectra immediately reveal similar
  profiles, but with three distinct differences: (1) RXCJ2248-ID3 exhibits higher
  gas ionization, as evidenced by the strong [Ar iv] λλ4713,4741 emission; (2) the
  He ii stellar wind feature is significantly broader in both the Sunburst Arc (FWHM
  = 1370 km s−1) and M4327 (FWHM = 1460 km s−1) than RXCJ2248-ID3 (FWHM = 530 km s−1),
  consistent with stronger stellar winds at the higher metallicities of the Sunburst
  Arc: (or Z ∼ 0.7 Z⊙; Z. Martinez et al. 2025) and M4327: (or Z ∼ 0.3 Z⊙; M. Curti
  et al. 2025b); and (3) the WR N iii λ4642 line is much stronger in RXCJ2248-ID3,
  which lacks WR C iv λλ5803,5814 emission, while the Sunburst Arc and M4327 exhibit
  both N iii and C iv emission. These differences support a scenario in which the
  z ∼ 2 WR galaxies hosts both WC and WN stars, but the more metal-poor RXCJ2248-ID3
  hosts a young population of WN stars with no or very little WC contribution.\r\n\r\nZoom
  InZoom OutReset image size\r\nFigure 6. The blue WR region of the optical spectrum
  of RXCJ2248-ID3 (purple) is shown in comparison to the z ∼ 2.37 Sunburst Arc spectrum
  from T. E. Rivera-Thorsen et al. (2024, blue), which has been convolved to R ∼ 1000
  to match RXCJ2248-ID3, and the z = 2.22 M4327 spectrum obtained from the DJA, but
  originally presented in M. Curti et al. (2025b, turquoise). All three galaxies show
  characteristic signs of hosting WN stars but RXCJ2248-ID3 shows striking N iii λ4642
  emission that is much stronger than both the Sunburst Arc and M4327. On the other
  hand, the Sunburst Arc and M4327 show broader He ii emission, which is expected
  for more metal-rich galaxies as stellar winds scale with metallicity.\r\n\r\nDownload
  figure:\r\n\r\nStandard imageHigh-resolution image\r\n5.2. Relative Chemical Enrichment
  from WN Stars\r\nWith the highest redshift detection of WN stars to date, we now
  explore their chemical yields as a source of the abundance pattern in RXCJ2248-ID3.
  C. Charbonnel et al. (2023) performed a comparable analysis for the extreme N/O
  ratio observed in GN-z11 and found that such rapid nitrogen enrichment could arise
  from normal massive stars with M⋆ ∼ 20–120 M⊙ or from supermassive stars (M⋆ ≳ 1000
  M⊙) in protoglobular cluster environments. Their results and those of R. Marques-Chaves
  et al. (2024) further demonstrated that the short-lived WN-like phase can produce
  large N/O ratios within a few megayears of the burst, consistent with the timescales
  inferred here, but that the observed C/O ratios are only compatible over a very
  short time interval. Building on this theoretical groundwork, C. Kobayashi & A.
  Ferrara (2024) showed that a dual-burst chemical evolution model with a short WR-dominated
  enrichment phase could also match GN-z11’s enrichment pattern. Similarly, R. Marques-Chaves
  et al. (2024) used N yields from rotating massive stars to demonstrate that a young,
  WR-dominated stellar population could reproduce the observed CNO enrichment pattern
  in CEERS-1019.\r\n\r\nThe models above provide a valuable physical framework for
  linking stellar yields to galaxy-scale abundance evolution at early times. To extend
  the methodologies outlined by these works to RXCJ2248-ID3, we first examine the
  dual-burst chemical evolution model of C. Kobayashi & A. Ferrara (2024), which was
  fine-tuned to reproduce the enhanced N/O in GN-z11 (reported by R. Maiolino et al.
  2024). This model invokes two bursts of star formation, where the second triggers
  a narrow (≲1 Myr) phase of WR-dominated enrichment. While the model can easily reach
  the N/O enrichment level of RXCJ2248-ID3, it was also designed to yield the higher
  O/H and C/O abundances observed in GN-z11 than in RXCJ2248-ID3, which was achieved,
  in part, by enrichment from WC stars. The updated O/H abundance for GN-z11 determined
  by Z. Martinez et al. (2025) makes it consistent with some carbon enrichment from
  WC stars, as shown in Figure 5. However, with a metallicity of only Z ∼ 0.10 Z⊙,
  the WR population in RXCJ2248-ID3 is expected to consist of few WC stars, and so
  an updated chemical evolution model is needed to match its unique CNO abundance
  pattern.\r\n\r\nWe modify the C. Kobayashi & A. Ferrara (2024) dual-burst model
  to be more appropriate for the metal-poor conditions in RXCJ2248-ID3. In particular,
  the galactic chemical evolution (GCE) model uses the same star formation history
  and the standard IMF (for 0.01–120 M⊙) as in the fiducial model in C. Kobayashi
  & A. Ferrara (2024) but reduces the contribution from WC stars. C/O ratios of the
  nucleosynthesis yields vary depending on the uncertain nuclear reaction rates (e.g.,
  12C(α, γ)16O) and the treatment of convection and mass loss (C. Kobayashi et al.
  2006). In the updated model, 12C and 16O yields are taken from C. Kobayashi et al.
  (2020) for all mass ranges of stars but the contributions from the WC wind phase
  is scaled to ∼15% in order to match the empirical trends and theoretical expectations
  that most massive stars will have insufficient winds to remove their He envelopes
  at such low metallicities.\r\n\r\nWe plot the updated metal-poor dual-burst model
  in the bottom row of Figure 4 as a time-series of points that are color coded by
  the age since the onset of the second burst. In this model, the observed N/O, O/H,
  and C/O abundances of RXCJ2248-ID3 are reached simultaneously ∼4.2 Myr after the
  onset of the second burst. This young age is consistent with enrichment from WN
  stars and with the derived clump age of Myr (A. Claeyssens 2025). Thus, the N/O-enhanced
  and relatively C/O-deficient conditions in RXCJ2248-ID3 are produced by a short-lived
  evolutionary phase following intense, bursty star formation.\r\n\r\nWe note that
  the duration and impact of the WN phase may be significantly extended if the stars
  evolve in binary systems. In the M. Limongi & A. Chieffi (2018) single-star models,
  the WN phase typically lasts ∼0.03–0.3 Myr and, due to the metallicity-dependent
  winds, require high initial masses (∼40 M⊙) to expose the He- and N-rich layers.
  However, in close binaries, envelope stripping via mass transfer or common-envelope
  evolution can induce WR phases in lower-mass stars (20–30 M⊙), largely independent
  of the stellar metallicity. This channel can significantly prolong the WN lifetime
  (up to ∼1 Myr) depending on the binary mass ratio and separation (e.g., J. J. Eldridge
  et al. 2017; Y. Götberg et al. 2019; D. R. Aguilera-Dena et al. 2022). As a result,
  binary evolution may enhance both the frequency and duration of the chemically selective
  N/O enrichment phase, such as that observed in RXCJ2248-ID. On the other hand, L.
  Boco et al. (2025) successfully modeled observations of single WR stars in the SMC,
  suggesting that binary stripping may not be required to produce WR stars at low
  metallicity. Clearly, the frequency, lifetimes, and formation channels of WR stars
  in low-metallicity environments are not yet well understood. Future work incorporating
  current binary and single star WR pathways into chemical evolution models may, therefore,
  be essential for capturing the full range of nitrogen feedback in low-metallicity
  starbursts at high redshift.\r\n\r\nTaken together, the massive star enrichment
  scenario presented here, and explored in C. Charbonnel et al. (2023), R. Marques-Chaves
  et al. (2024), and C. Kobayashi & A. Ferrara (2024), demonstrates that selective
  enrichment of nitrogen by WN-dominated feedback can naturally reproduce the observed
  CNO abundance pattern in compact, low-metallicity starbursts such as RXCJ2248-ID3.
  We can now paint a full picture of the ISM in RXCJ2248-ID3. The consistency of N/O
  across ions spanning a wide range of ionization potentials suggests that the WN-enriched
  material has been efficiently mixed throughout the ionized gas. This apparent chemical
  homogeneity does not contradict the strong density and temperature stratification
  inferred from our diagnostics: a clumpy or multiphase ISM can remain compositionally
  uniform if the enriched ejecta are well dispersed. Given the extreme compactness
  of RXCJ2248-ID3 (Re ≈ 20 pc), the characteristic dynamical and sound-crossing times
  are only a few ×105 yr, comparable to or shorter than the duration of the WN phase
  itself. Under such conditions, turbulent and radiative mixing can rapidly homogenize
  the heavy-element yields, producing a chemically uniform yet physically structured
  nebula.\r\n\r\n5.3. The N Mass Budget\r\nA crucial point of validation is whether
  an intense burst of star formation so early in the Universe could have produced
  the amount of N present in RXCJ2248-ID3. Similar to the analysis in R. Marques-Chaves
  et al. (2024), we test this by first estimating the ionized nitrogen mass using\r\n\r\nwhere
  the atomic mass ratio is mN/mH = 14 and N/H is the nitrogen abundance of the ionized
  gas. The hydrogen gas mass MH is derived from the Hα luminosity as\r\n\r\nwhere
  mH = 1.67 × 10−27 kg, h = 6.626 × 10−27 erg s−1, νHα is the frequency of the Hα
  emission line, and cm3 s−1 is the Case B effective recombination coefficient for
  Hα assuming a Te = 1.97 × 104 K. We estimate the Hα luminosity using a luminosity
  distance of dL(z = 6.1025) =1.817 × 1029 cm, the collision-corrected narrow-component
  Hα flux, and a magnification of μ = 6.8877 (L. Furtak et al. 2025) to be LHα =  1.20
  × 1042 erg s−1. Combining this LHα with the equivalent width (EW)(Hα) = 1457 Å,
  we derive the star formation rate (SFR) using the simulation-based SFR(Hα) calibration
  from I. G. Kramarenko et al. (2026). This method was developed to be more appropriate
  for the bursty conditions at high redshift than traditional calibrations and gives
  SFR = 3.2 M⊙ yr−1, similar to the SED-derived SFRs assuming a constant SFH for 1
  Myr () and 10 Myr (; see Table 1). Adopting a filling factor of ε = 0.01-0.10, assuming
  a compact starburst (e.g., R. C. Kennicutt 1984; G. Stasińska & D. Schaerer 1997),
  a density of 104 cm−3, and the measured N/H value, we calculate the ionized nitrogen
  mass to be .\r\n\r\nWe then compute the total nitrogen mass that can be produced
  by the recent burst of star formation using the integrated nitrogen yield produced
  by the modified C. Kobayashi & A. Ferrara (2024) model for the SED-derived stellar
  mass of assuming a continuous SFH over the duration of the second burst (∼4.2 Myr).
  This results in a total N mass of 435 M⊙, implying that ∼% of the gas is retained
  from the WN winds and ionized when matched to the expected ionized N mass (∼) from
  the crudely calculated observed value. Thus, WN stars formed in a recent burst within
  a compact, high-density, and very clumpy/inhomogeneous (low-filling-factor) environment
  can plausibly explain the N mass in RXCJ2248-ID3, even at low metallicity (∼10%
  Z⊙), without invoking a top-heavy IMF or exotic enrichment channels.\r\n\r\n5.4.
  The Ephemeral Imprint of WN Star on High−z Galaxies\r\nThe prominence of N/O enhancement
  at z ≳ 5 but relative rarity in local star-forming galaxies likely reflects a combination
  of environmental conditions and evolutionary factors that are unique to the early
  Universe. To examine the likely environments, we plot the SFR surface density (ΣSFR)
  versus EW of Hβ in Figure 7 for both z ≳ 6 N emitters (RXCJ2248-ID3: M. W. Topping
  et al. 2024, this work; GNz9p4: D. Schaerer et al. 2024; GN-z11, EW(Hβ) inferred
  from Hγ: A. J. Bunker et al. 2023; S. Tacchella et al. 2023; GDS 3073: E. Vanzella
  et al. 2010; H. Übler et al. 2023; X. Ji et al. 2024; CEERS-1019: R. L. Larson et
  al. 2023; R. Marques-Chaves et al. 2024; A1703-zd6: M. W. Topping et al. 2025b)
  and local star-forming galaxies with enhanced SFRs from the COS Legacy Archive Spectroscopic
  SurveY (CLASSY; B. L. James et al. 2021; D. A. Berg et al. 2022; N/O from K. Z.
  Arellano-Córdova et al. 2025). The high-redshift galaxies, such as RXCJ2248-ID3,
  exhibit compact morphologies (Re ≲ 102 pc) that lead to much higher SFR surface
  densities than seen at z ∼ 0, as well as bursty star formation histories that favor
  the rapid buildup of massive stars capable of entering the short-lived WN phases
  (M⋆ > 20 M⊙). The high-redshift N emitters also have high Hβ EWs (>200 Å) that are
  indicative of young current bursts of star formation (<5 Myr). This suggests that
  compactness alone is not enough to observe enhanced N/O; we must also observe these
  galaxies at the fleeting moments of very young bursts when WR stars are most active.\r\n\r\nZoom
  InZoom OutReset image size\r\nFigure 7. SFR surface density versus Hβ EW for high-redshift
  (z > 5) N emitters versus z ∼ 0 galaxies from the CLASSY survey (SFR: D. A. Berg
  et al. 2022; N/O: K. Z. Arellano-Córdova et al. 2025), which have enhanced SFRs
  similar to z ∼ 2–3 galaxies. High-redshift N emitters are only observed at young
  ages (≲5 Myr), as indicated by the high Hβ EWs (EW> 200 Å), and in compact, dense
  environments (ΣSFR > 10 M⊙ yr−1 kpc−1). Note that RXCJ2248-ID3 is plotted here using
  the properties derived from M. W. Topping et al. (2024) for continuous star formation
  to be consistent with the other N-emitter measurements.\r\n\r\nDownload figure:\r\n\r\nStandard
  imageHigh-resolution image\r\nFigure 7 suggests a scenario of elevated N/O at low
  metallicity being preferentially seen in galaxies with high SFR surface densities
  and young stellar ages (e.g., D. Schaerer et al. 2024; M. W. Topping et al. 2024;
  Z. Martinez et al. 2025). R. Marques-Chaves et al. (2024) also suggest that the
  elevated N/O and high-ionization spectrum of CEERS-1019 trace a short evolutionary
  window of a ≲5 Myr burst dominated by WN-like feedback. Furthermore, the theoretical
  models of C. Charbonnel et al. (2023) predict that such phases are characteristic
  of young, dense stellar systems, potentially analogous to protoglobular clusters,
  reinforcing that our observed WN-driven enrichment is a natural outcome of clustered,
  bursty star formation at early times.\r\n\r\nAt low metallicity, weaker stellar
  winds require higher initial masses for stars to reach the WR phase, so a larger
  total stellar mass must form in a burst to produce a detectable population of WN
  stars. In compact galaxies beyond cosmic noon, this condition is naturally met in
  systems with high SFR surface densities, which statistically sample the upper IMF
  more fully and produce a detectable population of WN stars (e.g., J. Brinchmann
  et al. 2008; M. Shirazi & J. Brinchmann 2012). Furthermore, the WR enrichment signature
  is short-lived: it must be captured during the brief WN-dominated phase (tburst
  ≲ 5 Myr and ΔtWN ≲ 0.3 Myr), before dilution from WC stars, CCSNe, or delayed AGB
  enrichment. These timing constraints imply that only a small fraction of the star-forming
  galaxies in the distant Universe will be caught in this phase. The detection of
  WR-driven N/O enhancement at high redshift thus reflects a brief evolutionary stage
  where intense, rapid feedback from a large number of WN stars briefly imprints nonuniform
  elemental enrichment patterns (i.e., elevated N/O), which are expected to be quickly
  washed away. As soon as the system evolves beyond the WN phase, subsequent WC or
  CCSN yields will rapidly dilute the N excess and alter the overall abundance patter
  (e.g., increasing C/O, lowering N/C).\r\n\r\nRecently, M. W. Topping et al. (2025b)
  showed that galaxies with significant N iv] emission (corresponding to extreme N/O
  enhancement), are found exclusively among galaxies with extreme [O iii]+Hβ EWs of
  2600–4200 Å. Galaxies with such high [O iii]+Hβ EWs are in the upper 2% tail of
  the EW distribution at z ≳ 4 and are outliers at z ∼ 0. This strongly suggests that
  high N/O outliers are confined to the youngest stellar populations undergoing their
  most intense bursts of star formation in the early Universe (e.g., R. Endsley et
  al. 2023, 2025; J. Matthee et al. 2023; M. W. Topping et al. 2025b).\r\n\r\nIn this
  context, M. W. Topping et al. (2025b) found that 30% of galaxies with EW[O III]
  + Hβ > 2000 Å show strong nitrogen emission, corresponding to ∼0.6% of their UV-selected
  parent population. If this 0.6% population corresponds to enhanced N/O during the
  ΔtWN ∼ 0.3 Myr WN phase, it would imply a characteristic burst timescale of ∼50
  Myr. A practical consequence is that young bursts substantially increase the light-to-mass
  ratios and, thus, the likelihood of detection in flux-limited samples (e.g., C.
  A. Mason et al. 2023; J. B. Muñoz et al. 2023; G. Sun et al. 2023). Therefore, the
  observed frequency of strong nitrogen emitters at fixed MUV is likely biased high
  relative to their intrinsic abundance (e.g., at fixed stellar mass). Given the detectability
  bias toward burst phases, this tburst may represent a lower limit, with the true
  interval plausibly longer. This timescale is supported by recent analyses of the
  scatter in the star-forming main sequence and time-resolved SFR indicators at z
  ∼ 3–9 that suggest burst cycles of tens-of-megayear timescales (albeit with broad
  distributions, e.g., C. Simmonds et al. 2025). Thus, the combination of extreme-EW
  selection and N iv] frequency provides a novel timing argument that WN-driven enrichment
  is tightly coupled to very young, transient starburst phases beyond cosmic noon.\r\n\r\nTaken
  together, the arguments presented in this work suggest that nitrogen outliers are
  not exotic exceptions, but rather a brief, WN-enriched phase that any high-redshift
  galaxy with sufficiently high SFR surface density can pass through. In contrast,
  numerous low-redshift WR galaxies exhibit young populations that include WN and
  WC stars but show little or no N/O enhancement (e.g., Y. I. Izotov et al. 2006;
  C. Kehrig et al. 2013). This difference underscores that similar stellar populations
  do not guarantee the same chemical signatures; instead, the extreme densities, compactness,
  and rapid mixing timescales of high-redshift starbursts likely make WN-driven enrichment
  both more pronounced and more transient. In this view, N/O outliers in the early
  Universe are not anomalies, but rather are the chemical fingerprints of galaxies
  caught midburst, showing fleeting yet inevitable markers of early galaxy evolution.\r\n\r\n6.
  Conclusions\r\nWe have presented a detailed enrichment scenario by WN stars that
  explains the extreme nitrogen enrichment in the metal-poor (∼10% Z⊙), high surface-density
  (1.34 × 103 M⊙ pc−2), high-redshift (z = 6.1025), lensed galaxy RXCJ2248-ID3. These
  measurements were made possible by exceptionally deep JWST/NIRSpec medium-resolution
  spectroscopy of RXCJ2248-ID3, obtained as part of the GLIMPSE-D survey. The unprecedented
  depth and S/N of the GLIMPSE-D spectrum allow spectral measurements typically limited
  to the nearby Universe, including consistent broad components in the Balmer series
  and [O iii] λ4364 and λλ4960,5008 lines, faint [Ar iv] λλ4713,4741 emission, and
  signatures of WR stars. Specifically, we detected the emission characteristic of
  WN-type stars, including strong N iii λ4642 and broadened He ii λ1640 and λ4687
  emission, marking RXCJ2248-ID3 as the most distant galaxy to date with spectroscopic
  detections of WR stars.\r\n\r\nWe performed a detailed nebular analysis, self-consistently
  measuring the reddening, high-ionization temperature (Te(O+2)), and densities from
  five different diagnostics across a wide ionization range. We measure a low reddening
  value of from the Hγ/Hβ ratio but find an excess in the Hα/Hβ ratio of 0.204 due
  to collisional excitation of Hα. The measured densities span the range of 1.15 ×
  103 cm−3 ≤ ne ≤ 2.65 × 105 cm−3 and show strong evidence for nebular density stratification,
  with systematically higher densities in the highest-ionization gas and UV emission
  tracing gas at higher densities than those traced by optical diagnostics. This structure
  implies a highly clumpy, multiphase ISM. We note that such high-density, multiphase
  gas leads to densities from optical diagnostics that are biased to the low end of
  the density range due to their low critical densities. Therefore, we recommend using
  UV density diagnostics because they are more robust in high-density environments:
  ne(Si+2), ne(C+2), and ne(N+3) trace the densities in the low-, intermediate-, and
  high-ionization gas, respectively. As a result, we measure a direct-method metallicity
  of .\r\n\r\nUsing the full rest-UV+optical spectra, we present the first robust,
  consistent measurements of N/O abundance in any galaxy using three ionization stages
  of nitrogen (N+/O+, N+2/O+2, N+3/O+2). The uniformity of our N/O measurements suggests
  that the N/O enrichment is spatially extended and well mixed throughout the ionized
  ISM. Empirical trends suggest C/O should follow a similar trend as N/O, and thus
  also be enhanced. In contrast, we find C/O to be significantly depleted relative
  to N/O, suggesting nonuniform elemental enrichment likely driven by WN stars with
  little to no contribution from WC stars.\r\n\r\nThe CNO abundance pattern is best
  reproduced by a modified version of the dual-burst chemical evolution model from
  C. Kobayashi & A. Ferrara (2024) that reduces the contribution from WC stars relative
  to WN stars, as expected in metal-poor environments. The resulting short-lived WN
  phase ejects N-rich, C-poor material. We use this chemical evolution model to assess
  whether the observed N mass can plausibly arise from the recent star formation in
  RXCJ2248-ID3 and estimate an ionized N mass of 435 M⊙. This value is consistent
  with the N mass estimated from the observed emission lines of M⊙ if % of the N gas
  is ionized.\r\n\r\nThese results demonstrate that standard stellar evolution models
  can reproduce both the CNO pattern and the total nitrogen mass observed without
  invoking an exotic IMF or enrichment channel. The uniform N/O ratios across multiple
  ionization zones further suggest that the WN yields were rapidly mixed into a relatively
  pristine ambient ISM, preserving the global enhancement observed in RXCJ2248-ID3.
  Although RXCJ2248-ID3 exhibits strong density and temperature stratification, this
  structural complexity does not necessarily imply chemical inhomogeneity. The consistent
  N/O ratios across ions tracing vastly different physical conditions indicate that
  the enriched material was efficiently dispersed throughout the multiphase ISM. In
  such a compact (Re ≈ 20 pc), high-pressure environment, turbulent and radiative
  mixing can homogenize the chemical composition on timescales comparable to, or shorter
  than, the brief WN phase itself, yielding a chemically uniform yet physically clumpy
  nebula.\r\n\r\nImportantly, the abundance pattern and physical conditions observed
  in RXCJ2248-ID3 can only be explained if the galaxy is caught during a narrow evolutionary
  window within a few megayears of a massive, compact starburst when WN stars dominate
  chemical feedback. At low metallicity, stars require higher initial masses to reach
  the WR phase, making such enrichment episodes rare and dependent on sufficiently
  high SFRs to fully populate the upper IMF. Furthermore, the WN phase itself is extremely
  short-lived (∼0.03–0.3 Myr) and easily masked by subsequent WC winds, CCSNe, or
  AGB stars contributions. These timing and SFR constraints make WR-driven N/O enhancement
  a rare phenomenon associated with extreme starburst conditions that are more common
  in the early Universe, and which are scarce in the local Universe.\r\n\r\nOur results
  suggest that the WN-driven N/O enrichment we observe is not a peculiar property
  of a single system, but rather a brief phase that essentially all high-redshift
  galaxies (z > 5) with sufficiently high SFR surface densities to produce significant
  numbers of WN stars likely undergo. In particular, the work of M. W. Topping et
  al. (2025b) can be used to link N/O outliers to the most extreme [O iii]+Hβ EWs.
  The observed frequency of such EWs combined with the short lifetime of the WN phase
  implies a burst cycle of order ∼50 Myr, consistent with galaxies repeatedly cycling
  through short, bursty episodes of enrichment. Thus, the GLIMPSE-D spectrum of RXCJ2248-ID3
  provides not only the first direct evidence of WN stars shaping the chemical evolution
  of z > 5 galaxies but also a timing argument that situates N/O outliers as a natural,
  fleeting, phase of high-redshift star formation.\r\n\r\nTaken together, our findings
  are a glimpse into a short-lived phase of chemically selective enrichment from WN
  stars at cosmic dawn, providing a physically self-consistent solution to the extreme
  N/O enhancement and relative C/O depletion observed in RXCJ2248-ID3 and galaxies
  like it. Thus, RXCJ2248-ID3 serves as a benchmark case for interpreting chemically
  enriched, stratified, multiphase starbursts in the early Universe.\r\n\r\nAcknowledgments\r\nWe
  thank the referee for their thorough review of our calculations and analysis and
  for their helpful suggestions, which greatly improved the robustness of our results
  and the clarity of the text. This work is based on observations made with the NASA/ESA/CSA
  James Webb Space Telescope. The data were obtained from the Mikulski Archive for
  Space Telescopes at the Space Telescope Science Institute, which is operated by
  the Association of Universities for Research in Astronomy, Inc., under NASA contract
  NAS 5-03127 for JWST. These observations are associated with program #9223. This
  work has received funding from the Swiss State Secretariat for Education, Research
  and Innovation (SERI) under contract No. MB22.00072, as well as from the Swiss National
  Science Foundation (SNSF) through project grant 200020_207349. The Cosmic Dawn Center
  (DAWN) is funded by the Danish National Research Foundation under grant DNRF140.
  The Dunlap Institute is funded through an endowment established by the David Dunlap
  family and the University of Toronto. We acknowledge the support of the Canadian
  Space Agency (CSA) [25JWGO4A06]. HA acknowledges support from CNES, focused on the
  JWST mission, and the Programme National Cosmology and Galaxies (PNCG) of CNRS/INSU
  with INP and IN2P3, co-funded by CEA and CNES and support by the French National
  Research Agency (ANR) under grant ANR-21-CE31-0838. The JWST data presented in this
  article from program #9223 were obtained from the Mikulski Archive for Space Telescopes
  (MAST) at the Space Telescope Science Institute. The specific observations analyzed
  can be accessed via DOI: 10.17909/8642-1k68."
article_number: '112'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Danielle A.
  full_name: Berg, Danielle A.
  last_name: Berg
- first_name: Rohan P.
  full_name: Naidu, Rohan P.
  last_name: Naidu
- first_name: John
  full_name: Chisholm, John
  last_name: Chisholm
- first_name: Hakim
  full_name: Atek, Hakim
  last_name: Atek
- first_name: Seiji
  full_name: Fujimoto, Seiji
  last_name: Fujimoto
- first_name: Vasily
  full_name: Kokorev, Vasily
  last_name: Kokorev
- first_name: Lukas J.
  full_name: Furtak, Lukas J.
  last_name: Furtak
- first_name: Chiaki
  full_name: Kobayashi, Chiaki
  last_name: Kobayashi
- first_name: Daniel
  full_name: Schaerer, Daniel
  last_name: Schaerer
- first_name: Angela
  full_name: Adamo, Angela
  last_name: Adamo
- first_name: Qinyue
  full_name: Fei, Qinyue
  last_name: Fei
- first_name: Damien
  full_name: Korber, Damien
  last_name: Korber
- first_name: Jorryt J
  full_name: Matthee, Jorryt J
  id: 7439a258-f3c0-11ec-9501-9df22fe06720
  last_name: Matthee
  orcid: 0000-0003-2871-127X
- first_name: Rui
  full_name: Marques-Chaves, Rui
  last_name: Marques-Chaves
- first_name: Zorayda
  full_name: Martinez, Zorayda
  last_name: Martinez
- first_name: Kristen B.W.
  full_name: Mcquinn, Kristen B.W.
  last_name: Mcquinn
- first_name: Julian B.
  full_name: Muñoz, Julian B.
  last_name: Muñoz
- first_name: Pascal A.
  full_name: Oesch, Pascal A.
  last_name: Oesch
- first_name: Alberto
  full_name: Saldana-Lopez, Alberto
  last_name: Saldana-Lopez
- first_name: Daniel P.
  full_name: Stark, Daniel P.
  last_name: Stark
- first_name: Mabel G.
  full_name: Stephenson, Mabel G.
  last_name: Stephenson
- first_name: Tiger Yu Yang
  full_name: Hsiao, Tiger Yu Yang
  last_name: Hsiao
citation:
  ama: 'Berg DA, Naidu RP, Chisholm J, et al. A fleeting GLIMPSE of N/O enrichment
    at cosmic dawn: Evidence for Wolf Rayet N stars in a z = 6.1 galaxy. <i>The Astrophysical
    Journal</i>. 2026;1003(2). doi:<a href="https://doi.org/10.3847/1538-4357/ae5e4c">10.3847/1538-4357/ae5e4c</a>'
  apa: 'Berg, D. A., Naidu, R. P., Chisholm, J., Atek, H., Fujimoto, S., Kokorev,
    V., … Hsiao, T. Y. Y. (2026). A fleeting GLIMPSE of N/O enrichment at cosmic dawn:
    Evidence for Wolf Rayet N stars in a z = 6.1 galaxy. <i>The Astrophysical Journal</i>.
    IOP Publishing. <a href="https://doi.org/10.3847/1538-4357/ae5e4c">https://doi.org/10.3847/1538-4357/ae5e4c</a>'
  chicago: 'Berg, Danielle A., Rohan P. Naidu, John Chisholm, Hakim Atek, Seiji Fujimoto,
    Vasily Kokorev, Lukas J. Furtak, et al. “A Fleeting GLIMPSE of N/O Enrichment
    at Cosmic Dawn: Evidence for Wolf Rayet N Stars in a z = 6.1 Galaxy.” <i>The Astrophysical
    Journal</i>. IOP Publishing, 2026. <a href="https://doi.org/10.3847/1538-4357/ae5e4c">https://doi.org/10.3847/1538-4357/ae5e4c</a>.'
  ieee: 'D. A. Berg <i>et al.</i>, “A fleeting GLIMPSE of N/O enrichment at cosmic
    dawn: Evidence for Wolf Rayet N stars in a z = 6.1 galaxy,” <i>The Astrophysical
    Journal</i>, vol. 1003, no. 2. IOP Publishing, 2026.'
  ista: 'Berg DA, Naidu RP, Chisholm J, Atek H, Fujimoto S, Kokorev V, Furtak LJ,
    Kobayashi C, Schaerer D, Adamo A, Fei Q, Korber D, Matthee JJ, Marques-Chaves
    R, Martinez Z, Mcquinn KBW, Muñoz JB, Oesch PA, Saldana-Lopez A, Stark DP, Stephenson
    MG, Hsiao TYY. 2026. A fleeting GLIMPSE of N/O enrichment at cosmic dawn: Evidence
    for Wolf Rayet N stars in a z = 6.1 galaxy. The Astrophysical Journal. 1003(2),
    112.'
  mla: 'Berg, Danielle A., et al. “A Fleeting GLIMPSE of N/O Enrichment at Cosmic
    Dawn: Evidence for Wolf Rayet N Stars in a z = 6.1 Galaxy.” <i>The Astrophysical
    Journal</i>, vol. 1003, no. 2, 112, IOP Publishing, 2026, doi:<a href="https://doi.org/10.3847/1538-4357/ae5e4c">10.3847/1538-4357/ae5e4c</a>.'
  short: D.A. Berg, R.P. Naidu, J. Chisholm, H. Atek, S. Fujimoto, V. Kokorev, L.J.
    Furtak, C. Kobayashi, D. Schaerer, A. Adamo, Q. Fei, D. Korber, J.J. Matthee,
    R. Marques-Chaves, Z. Martinez, K.B.W. Mcquinn, J.B. Muñoz, P.A. Oesch, A. Saldana-Lopez,
    D.P. Stark, M.G. Stephenson, T.Y.Y. Hsiao, The Astrophysical Journal 1003 (2026).
date_created: 2026-05-31T22:02:12Z
date_published: 2026-05-20T00:00:00Z
date_updated: 2026-06-02T08:46:20Z
day: '20'
ddc:
- '520'
department:
- _id: JoMa
doi: 10.3847/1538-4357/ae5e4c
external_id:
  arxiv:
  - '2511.13591'
file:
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  date_created: 2026-06-02T08:46:08Z
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intvolume: '      1003'
issue: '2'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: The Astrophysical Journal
publication_identifier:
  eissn:
  - 1538-4357
  issn:
  - 0004-637X
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'A fleeting GLIMPSE of N/O enrichment at cosmic dawn: Evidence for Wolf Rayet
  N stars in a z = 6.1 galaxy'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 1003
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
_id: '21923'
abstract:
- lang: eng
  text: "The appearance of simulated natural phenomena heavily depends on the way
    surfaces are textured. However, applying texture maps to dynamic deformable surfaces
    presents a significant challenge, due to ever-shifting differences in length scales
    involved. When these surfaces move and advect the texture along with them, their
    final appearance degrades as deformed regions dramatically distort their texture
    map. Modifications to the texture directly at the pixel level in response to the
    deformation may introduce ghosting artifacts and look unnatural. In the real world,
    the appearance of surface details on a deforming material changes through the
    interplay of physical processes such as rupturing, exposure of internal structure,
    or wrinkling. Motivated by these behaviors, in this work we explore how physical
    principles can guide the texturing methods based on the measure of surface deformation.\r\nWe
    present two novel wave-based procedural texturing algorithms which reproduce common
    physical properties like advection and self-similarity, enabling the plausible
    animation of deforming objects with extreme texture map distortions. Our algorithms
    are fully procedural, require no actual physics simulation, and store no state
    or history of deformation besides the input UV map, making them highly parallelizable
    on the GPU and efficient enough for real-time applications. We show the versatility
    of the method by animating physical phenomena with extreme deformations such as
    flowing lava, stretching putty and outpouring sludge."
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "We thank the anonymous reviewers for their helpful comments, the
  members of the Visual Computing Group at ISTA for their feedback. We also thank
  Jonathan Gagnon for their help with running the Lapped Textures codes and SideFX
  for the Houdini Education software licenses.\r\nImages in Fig. 2 by Kisoulou and
  Vultured on Unsplash, Michal Jarmoluk and Public Domain Pictures from Pixabay and
  Hawai‘i Volcanoes NPS on flickr. This research was supported by the Scientific Service
  Units (SSU) of ISTA through resources provided by Scientific Computing and was funded
  in part by the European Union (ERC-2021-COG 101045083 CoDiNA)."
article_number: '154'
article_processing_charge: Yes
article_type: original
author:
- first_name: Aleksei
  full_name: Kalinov, Aleksei
  id: 44b7120e-eb97-11eb-a6c2-e1557aa81d02
  last_name: Kalinov
  orcid: 0000-0003-2189-3904
- first_name: Mickaël
  full_name: Ly, Mickaël
  id: 6340d7f0-b48d-11eb-b10d-b7487e71d9f1
  last_name: Ly
- first_name: Christian
  full_name: Hafner, Christian
  id: 400429CC-F248-11E8-B48F-1D18A9856A87
  last_name: Hafner
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
citation:
  ama: Kalinov A, Ly M, Hafner C, Wojtan C. Physics-inspired procedural texturing
    of extremely deformable surfaces. <i>ACM Transactions on Graphics</i>. 45(4).
    doi:<a href="https://doi.org/10.1145/3811353">10.1145/3811353</a>
  apa: 'Kalinov, A., Ly, M., Hafner, C., &#38; Wojtan, C. (n.d.). Physics-inspired
    procedural texturing of extremely deformable surfaces. <i>ACM Transactions on
    Graphics</i>. Los Angeles, CA, United States: ACM. <a href="https://doi.org/10.1145/3811353">https://doi.org/10.1145/3811353</a>'
  chicago: Kalinov, Aleksei, Mickaël Ly, Christian Hafner, and Chris Wojtan. “Physics-Inspired
    Procedural Texturing of Extremely Deformable Surfaces.” <i>ACM Transactions on
    Graphics</i>. ACM, n.d. <a href="https://doi.org/10.1145/3811353">https://doi.org/10.1145/3811353</a>.
  ieee: A. Kalinov, M. Ly, C. Hafner, and C. Wojtan, “Physics-inspired procedural
    texturing of extremely deformable surfaces,” <i>ACM Transactions on Graphics</i>,
    vol. 45, no. 4. ACM.
  ista: Kalinov A, Ly M, Hafner C, Wojtan C. Physics-inspired procedural texturing
    of extremely deformable surfaces. ACM Transactions on Graphics. 45(4), 154.
  mla: Kalinov, Aleksei, et al. “Physics-Inspired Procedural Texturing of Extremely
    Deformable Surfaces.” <i>ACM Transactions on Graphics</i>, vol. 45, no. 4, 154,
    ACM, doi:<a href="https://doi.org/10.1145/3811353">10.1145/3811353</a>.
  short: A. Kalinov, M. Ly, C. Hafner, C. Wojtan, ACM Transactions on Graphics 45
    (n.d.).
conference:
  end_date: 2026-07-23
  location: Los Angeles, CA, United States
  name: 'SIGGRAPH: International Conference and Exhibition on Computer Graphics and
    Interactive Techniques'
  start_date: 2026-07-19
corr_author: '1'
date_created: 2026-05-29T13:25:16Z
date_published: 2026-07-01T00:00:00Z
date_updated: 2026-06-02T08:56:50Z
day: '01'
ddc:
- '006'
department:
- _id: GradSch
- _id: ChWo
doi: 10.1145/3811353
file:
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  creator: akalinov
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  creator: akalinov
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  relation: main_file
  success: 1
file_date_updated: 2026-05-29T13:19:37Z
has_accepted_license: '1'
intvolume: '        45'
issue: '4'
keyword:
- Procedural animation
language:
- iso: eng
month: '07'
oa: 1
oa_version: Accepted Version
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
  grant_number: '101045083'
  name: Computational Discovery of Numerical Algorithms for Animation and Simulation
    of Natural Phenomena
publication: ACM Transactions on Graphics
publication_identifier:
  issn:
  - 0730-0301
publication_status: inpress
publisher: ACM
quality_controlled: '1'
status: public
title: Physics-inspired procedural texturing of extremely deformable surfaces
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 45
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21915'
abstract:
- lang: eng
  text: Hydrological models commonly use very simple snow accumulation and melt models
    based on air temperature information, namely, a temperature threshold for snow
    accumulation as well as for snowmelt, and a melt factor. This utility emerges
    due to the simplicity, efficiency, and generally good performance of such models
    if sufficient calibration information is available. At scales beyond single gauged
    catchments, the estimation and evaluation of the temperature thresholds and the
    melt factor has been difficult due to a lack of observations on snow accumulation
    and melt. Using a recently published Northern Hemisphere snow water equivalent
    dataset (NH-SWE) and co-located climate station observations of temperature and
    precipitation (4736 stations across the Northern Hemisphere), this work estimates
    melt factors and temperature thresholds for snow modelling based on station observations
    and provides the first large-scale and long-term (1950–2023) evaluation of a simple
    temperature-index snow model and its parameters across a diverse range of snow
    climates. Our study reveals that the 0 °C as precipitation-phase threshold captures
    most snowfall days (89 %) and the 0 °C as snowmelt initiation threshold captures
    most snowmelt days (76 %). Adjusting large-scale uniform threshold values does
    not consistently improve performance across all snow accumulation and melt metrics.
    Estimated melt factors based on observations converge towards 3–5 mm (°C d)−1
    for deeper snowpack climates (peak snow water equivalent >300 mm), but their estimation
    may be more challenging for colder climates with shallower snowpacks (<300 mm),
    conditions where the derived melt factors cover a wider range (1 to 12 mm (°C d)−1)
    and a much higher interannual and spatial variability. The temperature-index snow
    model performs consistently well, on average, across the available Northern Hemisphere
    data set for estimating long-term mean values of seasonal snow cover onset, snowmelt
    season onset, mean snow accumulation and snowmelt rates, but challenges may arise
    due to biases in temperature records or solid precipitation undercatch. Peak snow
    water equivalent is likely underestimated for deep or alpine snowpacks, while
    it is likely overestimated for shallow snowpacks in the coldest and continental
    climates. The best median performance of the temperature-index approach lies on
    relatively shallow snowpacks in temperate climates. This study provides valuable
    insights into temperature-threshold snowfall modelling and temperature-index melt
    modelling for applications across diverse climates and environments, and the results
    should help refine regional modelling approaches to enhance our understanding
    of snowpack responses to global warming.
acknowledgement: 'AFB acknowledges funding from the UK''s Natural Environment Research
  Council (NERC) CENTA2 doctoral training program, grant number NE/S007350/1. AFB
  acknowledges support from the School of Geography, Earth and Environmental Science
  research fund. The computations described in this paper were performed using the
  University of Birmingham''s BlueBEAR HPC service, which provides a High Performance
  Computing service to the University''s research community. See http://www.birmingham.ac.uk/bear
  (last access: 15 December 2025) for more details. This research has been supported
  by the Natural Environment Research Council (grant no. CENTA2 NE/S007350/1).'
article_processing_charge: Yes
article_type: original
author:
- first_name: Adrià
  full_name: Fontrodona-Bach, Adrià
  id: f06891fd-9f42-11ee-8632-a20971c43046
  last_name: Fontrodona-Bach
- first_name: Bettina
  full_name: Schaefli, Bettina
  last_name: Schaefli
- first_name: Ross
  full_name: Woods, Ross
  last_name: Woods
- first_name: Joshua R.
  full_name: Larsen, Joshua R.
  last_name: Larsen
citation:
  ama: Fontrodona-Bach A, Schaefli B, Woods R, Larsen JR. Estimating robust melt factors
    and temperature thresholds for snow modelling across the Northern Hemisphere.
    <i>Hydrology and Earth System Sciences</i>. 2026;30(9):2613-2636. doi:<a href="https://doi.org/10.5194/hess-30-2613-2026">10.5194/hess-30-2613-2026</a>
  apa: Fontrodona-Bach, A., Schaefli, B., Woods, R., &#38; Larsen, J. R. (2026). Estimating
    robust melt factors and temperature thresholds for snow modelling across the Northern
    Hemisphere. <i>Hydrology and Earth System Sciences</i>. Copernicus Publications.
    <a href="https://doi.org/10.5194/hess-30-2613-2026">https://doi.org/10.5194/hess-30-2613-2026</a>
  chicago: Fontrodona-Bach, Adrià, Bettina Schaefli, Ross Woods, and Joshua R. Larsen.
    “Estimating Robust Melt Factors and Temperature Thresholds for Snow Modelling
    across the Northern Hemisphere.” <i>Hydrology and Earth System Sciences</i>. Copernicus
    Publications, 2026. <a href="https://doi.org/10.5194/hess-30-2613-2026">https://doi.org/10.5194/hess-30-2613-2026</a>.
  ieee: A. Fontrodona-Bach, B. Schaefli, R. Woods, and J. R. Larsen, “Estimating robust
    melt factors and temperature thresholds for snow modelling across the Northern
    Hemisphere,” <i>Hydrology and Earth System Sciences</i>, vol. 30, no. 9. Copernicus
    Publications, pp. 2613–2636, 2026.
  ista: Fontrodona-Bach A, Schaefli B, Woods R, Larsen JR. 2026. Estimating robust
    melt factors and temperature thresholds for snow modelling across the Northern
    Hemisphere. Hydrology and Earth System Sciences. 30(9), 2613–2636.
  mla: Fontrodona-Bach, Adrià, et al. “Estimating Robust Melt Factors and Temperature
    Thresholds for Snow Modelling across the Northern Hemisphere.” <i>Hydrology and
    Earth System Sciences</i>, vol. 30, no. 9, Copernicus Publications, 2026, pp.
    2613–36, doi:<a href="https://doi.org/10.5194/hess-30-2613-2026">10.5194/hess-30-2613-2026</a>.
  short: A. Fontrodona-Bach, B. Schaefli, R. Woods, J.R. Larsen, Hydrology and Earth
    System Sciences 30 (2026) 2613–2636.
corr_author: '1'
date_created: 2026-05-24T22:01:32Z
date_published: 2026-05-04T00:00:00Z
date_updated: 2026-06-02T09:24:00Z
day: '04'
ddc:
- '550'
department:
- _id: FrPe
doi: 10.5194/hess-30-2613-2026
file:
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  creator: dernst
  date_created: 2026-06-02T09:22:26Z
  date_updated: 2026-06-02T09:22:26Z
  file_id: '21940'
  file_name: 2026_HydrologyEarthSystemSciences_FontrodonaBach.pdf
  file_size: 11250378
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file_date_updated: 2026-06-02T09:22:26Z
has_accepted_license: '1'
intvolume: '        30'
issue: '9'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 2613-2636
publication: Hydrology and Earth System Sciences
publication_identifier:
  eissn:
  - 1607-7938
  issn:
  - 1027-5606
publication_status: published
publisher: Copernicus Publications
quality_controlled: '1'
scopus_import: '1'
status: public
title: Estimating robust melt factors and temperature thresholds for snow modelling
  across the Northern Hemisphere
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 30
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21917'
abstract:
- lang: eng
  text: A defining feature of quantum many-body systems is the exponential scaling
    of the Hilbert space with the number of degrees of freedom. This exponential complexity
    naïvely renders a complete state characterization, for instance via the complete
    set of bipartite Renyi entropies for all disjoint regions, a challenging task.
    Recently, a compact way of storing subregions' purities by encoding them as amplitudes
    of a fictitious quantum wave function, known as entanglement feature, was proposed.
    Notably, the entanglement feature can be a simple object even for highly entangled
    quantum states. However the complexity and practical usage of the entanglement
    feature for general quantum states has not been explored. In this work, we demonstrate
    that the entanglement feature can be efficiently learned using only a polynomial
    amount of samples in the number of degrees of freedom through the so-called tensor
    cross interpolation (TCI) algorithm, assuming it is expressible as a finite bond
    dimension MPS. We benchmark this learning process on Haar and random MPS states,
    confirming analytic expectations. Applying the TCI algorithm to quantum eigenstates
    of various one dimensional quantum systems, we identify cases where eigenstates
    have entanglement feature learnable with TCI. We conclude with possible applications
    of the learned entanglement feature, such as quantifying the distance between
    different entanglement patterns and finding the optimal one-dimensional ordering
    of physical indices in a given state, highlighting the potential utility of the
    proposed purity interpolation method.
acknowledgement: "We acknowledge useful discussions with Richard Küng\r\non the interpolation
  methods and error spreading, Ilia\r\nA. Luchnikov, Margarita Davydova, and, in particular,
  Hiroshi Shinaoka, Marc Ritter, Yuriel Nuñez\r\nfor useful discussions about TCI
  and the various\r\nworkarounds within the TensorCrossInterpolation.jl\r\nlibrary.
  We also acknowledge the comments of anonymous Referee B, that encouraged us to expand
  the\r\nmanuscript with discussion of additional applications\r\nof entanglement
  feature in Section 4.3. M.S. acknowledges discussions with D. V. Savostyanov at
  the 2nd\r\nInternational Quantum Tensor Networks (IQTN) plenary meeting at Flatiron
  Institute’s Center for Computational Quantum Physics (CCQ) for introduction\r\nto
  the TCI approach. D.K and M.S. acknowledge support by the European Research Council
  (ERC) under We acknowledge useful discussions with Richard Küng\r\non the interpolation
  methods and error spreading, Ilia\r\nA. Luchnikov, Margarita Davydova, and, in particular,
  Hiroshi Shinaoka, Marc Ritter, Yuriel Nuñez\r\nfor useful discussions about TCI
  and the various\r\nworkarounds within the TensorCrossInterpolation.jl\r\nlibrary.
  We also acknowledge the comments of anonymous Referee B, that encouraged us to expand
  the\r\nmanuscript with discussion of additional applications\r\nof entanglement
  feature in Section 4.3. M.S. acknowledges discussions with D. V. Savostyanov at
  the 2nd\r\nInternational Quantum Tensor Networks (IQTN) plenary meeting at Flatiron
  Institute’s Center for Computational Quantum Physics (CCQ) for introduction\r\nto
  the TCI approach. D.K and M.S. acknowledge support by the European Research Council
  (ERC) under We acknowledge useful discussions with Richard Küng\r\non the interpolation
  methods and error spreading, Ilia\r\nA. Luchnikov, Margarita Davydova, and, in particular,
  Hiroshi Shinaoka, Marc Ritter, Yuriel Nuñez\r\nfor useful discussions about TCI
  and the various\r\nworkarounds within the TensorCrossInterpolation.jl\r\nlibrary.
  We also acknowledge the comments of anonymous Referee B, that encouraged us to expand
  the\r\nmanuscript with discussion of additional applications\r\nof entanglement
  feature in Section 4.3. M.S. acknowledges discussions with D. V. Savostyanov at
  the 2nd\r\nInternational Quantum Tensor Networks (IQTN) plenary meeting at Flatiron
  Institute’s Center for Computational Quantum Physics (CCQ) for introduction\r\nto
  the TCI approach. D.K and M.S. acknowledge support by the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant
  Agreement No. 850899).\r\nR.V. acknowledges partial support from the US Department
  of Energy, Office of Science, Basic Energy\r\nSciences, under award No. DE-SC0023999,
  and the\r\nSwiss National Science Foundation (grant 10008234).\r\nThis research
  was supported in part by grant NSF\r\nPHY-2309135 to the Kavli Institute for Theoretical\r\nPhysics
  (KITP)"
article_number: '2114'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Dmytro
  full_name: Kolisnyk, Dmytro
  id: 530a7320-5355-11ee-ae5a-82a46997aaa7
  last_name: Kolisnyk
  orcid: 0000-0002-8612-8202
- first_name: Raimel A
  full_name: Medina Ramos, Raimel A
  id: CE680B90-D85A-11E9-B684-C920E6697425
  last_name: Medina Ramos
  orcid: 0000-0002-5383-2869
- first_name: Romain
  full_name: Vasseur, Romain
  last_name: Vasseur
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Kolisnyk D, Medina Ramos RA, Vasseur R, Serbyn M. Tensor cross interpolation
    of purities in quantum many-body systems. <i>Quantum</i>. 2026;10. doi:<a href="https://doi.org/10.22331/q-2026-05-22-2114">10.22331/q-2026-05-22-2114</a>
  apa: Kolisnyk, D., Medina Ramos, R. A., Vasseur, R., &#38; Serbyn, M. (2026). Tensor
    cross interpolation of purities in quantum many-body systems. <i>Quantum</i>.
    Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften.
    <a href="https://doi.org/10.22331/q-2026-05-22-2114">https://doi.org/10.22331/q-2026-05-22-2114</a>
  chicago: Kolisnyk, Dmytro, Raimel A Medina Ramos, Romain Vasseur, and Maksym Serbyn.
    “Tensor Cross Interpolation of Purities in Quantum Many-Body Systems.” <i>Quantum</i>.
    Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften,
    2026. <a href="https://doi.org/10.22331/q-2026-05-22-2114">https://doi.org/10.22331/q-2026-05-22-2114</a>.
  ieee: D. Kolisnyk, R. A. Medina Ramos, R. Vasseur, and M. Serbyn, “Tensor cross
    interpolation of purities in quantum many-body systems,” <i>Quantum</i>, vol.
    10. Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften,
    2026.
  ista: Kolisnyk D, Medina Ramos RA, Vasseur R, Serbyn M. 2026. Tensor cross interpolation
    of purities in quantum many-body systems. Quantum. 10, 2114.
  mla: Kolisnyk, Dmytro, et al. “Tensor Cross Interpolation of Purities in Quantum
    Many-Body Systems.” <i>Quantum</i>, vol. 10, 2114, Verein zur Förderung des Open
    Access Publizierens in den Quantenwissenschaften, 2026, doi:<a href="https://doi.org/10.22331/q-2026-05-22-2114">10.22331/q-2026-05-22-2114</a>.
  short: D. Kolisnyk, R.A. Medina Ramos, R. Vasseur, M. Serbyn, Quantum 10 (2026).
corr_author: '1'
date_created: 2026-05-26T19:39:12Z
date_published: 2026-05-22T00:00:00Z
date_updated: 2026-06-02T09:15:13Z
day: '22'
ddc:
- '530'
department:
- _id: MaSe
- _id: GradSch
doi: 10.22331/q-2026-05-22-2114
ec_funded: 1
external_id:
  arxiv:
  - '2503.17230'
file:
- access_level: open_access
  checksum: f8ce78607ad06120cdf894dc8cef55da
  content_type: application/pdf
  creator: dernst
  date_created: 2026-06-02T09:12:11Z
  date_updated: 2026-06-02T09:12:11Z
  file_id: '21939'
  file_name: 2026_Quantum_Kolisnyk.pdf
  file_size: 3284798
  relation: main_file
  success: 1
file_date_updated: 2026-06-02T09:12:11Z
has_accepted_license: '1'
intvolume: '        10'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '850899'
  name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Quantum
publication_identifier:
  eissn:
  - 2521-327X
publication_status: published
publisher: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
quality_controlled: '1'
status: public
title: Tensor cross interpolation of purities in quantum many-body systems
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '21929'
abstract:
- lang: eng
  text: 'The import of proteins into mitochondria poses fundamental mechanistic challenges:
    aggregation-prone precursor proteins must be maintained in aqueous compartments
    and threaded through narrow pores without becoming stuck or mislocalized. Recent
    evidence from mitochondrial protein import studies and other chaperone systems
    underscores the critical role of dynamics in balancing sufficiently tight binding,
    promiscuity, specificity, and release. Dynamic binding of client precursor proteins
    to import machinery components arises naturally from the avidity of their interactions.
    Conformational entropy enhances their stability, while the multivalent nature
    of these interactions ensures that client transfer to downstream insertases occurs
    without a substantial energy barrier. Here, we discuss this emerging paradigm
    of dynamic protein handling, using examples where dynamic structures have been
    resolved and highlight outstanding questions.'
acknowledgement: We gratefully acknowledge research funding by the Austrian Science
  Fund (FWF), projects 10.55776/PAT1647625 and 10.55776/I6223. We thank Prof. Long
  Li (Peking University) for providing structural models and EM density for the TOM
  and TIM23 complexes, used to generate part of Figure 3. Open Access funding provided
  by Institute of Science and Technology Austria.
article_number: e70630
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Jakob
  full_name: Schneider, Jakob
  id: 64368429-eb97-11eb-a6c2-c980b1f44415
  last_name: Schneider
- first_name: Undina
  full_name: Guillerm, Undina
  id: bb74f472-ae54-11eb-9835-bc9c22fb1183
  last_name: Guillerm
- first_name: Caroline
  full_name: Simoes Pereira, Caroline
  id: 87266c4a-96d2-11ef-be2c-fe5633233ec3
  last_name: Simoes Pereira
- first_name: Paul
  full_name: Schanda, Paul
  id: 7B541462-FAF6-11E9-A490-E8DFE5697425
  last_name: Schanda
  orcid: 0000-0002-9350-7606
citation:
  ama: Schneider J, Guillerm U, Simoes Pereira C, Schanda P. Dynamic disorder is crucial
    for mitochondrial protein import. <i>Protein Science</i>. 2026;35(6). doi:<a href="https://doi.org/10.1002/pro.70630">10.1002/pro.70630</a>
  apa: Schneider, J., Guillerm, U., Simoes Pereira, C., &#38; Schanda, P. (2026).
    Dynamic disorder is crucial for mitochondrial protein import. <i>Protein Science</i>.
    Wiley. <a href="https://doi.org/10.1002/pro.70630">https://doi.org/10.1002/pro.70630</a>
  chicago: Schneider, Jakob, Undina Guillerm, Caroline Simoes Pereira, and Paul Schanda.
    “Dynamic Disorder Is Crucial for Mitochondrial Protein Import.” <i>Protein Science</i>.
    Wiley, 2026. <a href="https://doi.org/10.1002/pro.70630">https://doi.org/10.1002/pro.70630</a>.
  ieee: J. Schneider, U. Guillerm, C. Simoes Pereira, and P. Schanda, “Dynamic disorder
    is crucial for mitochondrial protein import,” <i>Protein Science</i>, vol. 35,
    no. 6. Wiley, 2026.
  ista: Schneider J, Guillerm U, Simoes Pereira C, Schanda P. 2026. Dynamic disorder
    is crucial for mitochondrial protein import. Protein Science. 35(6), e70630.
  mla: Schneider, Jakob, et al. “Dynamic Disorder Is Crucial for Mitochondrial Protein
    Import.” <i>Protein Science</i>, vol. 35, no. 6, e70630, Wiley, 2026, doi:<a href="https://doi.org/10.1002/pro.70630">10.1002/pro.70630</a>.
  short: J. Schneider, U. Guillerm, C. Simoes Pereira, P. Schanda, Protein Science
    35 (2026).
corr_author: '1'
date_created: 2026-05-31T22:02:12Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-06-02T07:26:34Z
day: '01'
ddc:
- '572'
department:
- _id: GradSch
- _id: PaSc
doi: 10.1002/pro.70630
external_id:
  pmid:
  - '42159315'
file:
- access_level: open_access
  checksum: e0163459a7238fdcc3fc5e17bedcce9a
  content_type: application/pdf
  creator: dernst
  date_created: 2026-06-02T07:23:12Z
  date_updated: 2026-06-02T07:23:12Z
  file_id: '21937'
  file_name: 2026_ProteinScience_Schneider.pdf
  file_size: 3897305
  relation: main_file
  success: 1
file_date_updated: 2026-06-02T07:23:12Z
has_accepted_license: '1'
intvolume: '        35'
issue: '6'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: bdb9578d-d553-11ed-ba76-ed5d39fce6f0
  grant_number: I06223
  name: Structure and mechanism of the mitochondrial MIM insertase
publication: Protein Science
publication_identifier:
  eissn:
  - 1469-896X
  issn:
  - 0961-8368
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamic disorder is crucial for mitochondrial protein import
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21914'
abstract:
- lang: eng
  text: 'Cyclic adenosine monophosphate (cAMP) is a fundamental second messenger involved
    in diverse signaling pathways across both animals and plants. While the role of
    3′,5′-cAMP has been extensively characterized, the biological significance of
    its structural isomer, 2′,3′-cAMP, remains largely unexplored, particularly in
    plants. Here, we show that 2′,3′-cAMP and 3′,5′-cAMP represent parallel signaling
    systems in Arabidopsis thaliana, with different enzymatic origins and largely
    distinct downstream effects. In vitro enzymatic assays show that plant adenylate
    cyclases (ACs), including AFB5 and HpAC1, produce specifically 3′,5′-cAMP from
    ATP, whereas the TIR domain of protein L7 also catalyzes the formation of 2′,3′-cAMP
    from RNA. Comprehensive multiomics analyses reveal that two isomers elicit distinct
    yet partially overlapping metabolic, proteomic, and transcriptional response:
    2′,3′-cAMP activates broad, stress-adaptive gene expression reprogramming, while
    3′,5′-cAMP fine-tunes responses related to nutrient status and cellular homeostasis.
    Our findings establish the existence of dual cAMP signaling systems in plants,
    each with specialized functions and provide insights into the complex regulatory
    networks governing plant physiology.'
acknowledged_ssus:
- _id: MassSpec
- _id: LifeSc
acknowledgement: " We thank J. Chai and D. Yu for providing the MBP-fused L7TIR plasmid
  and K. Jaworski (Nicolaus Copernicus University) for the GST-­HpAC1 plasmid. We
  also thank M. Randuch and L. Fiedler for providing vectors for recombinant AFB5
  and ADCY. We are also grateful to E. Dutkiewicz, L. Trübestein, N. Krasnici and
  A. Michaelis for excellent technical\r\nassistance. We acknowledge the support of
  the LSF Mass Spectrometry Service and the Lab\r\nSupport Facility at the Institute
  of Science and Technology Austria for their contributions,\r\nincluding consultation
  on size exclusion chromatography, LC/MS experimental design,\r\nmetabolomics sample
  preparation, LC/MS method optimization, data acquisition, raw data\r\nanalysis,
  and absolute quantification. This project is supported by the European\r\nResearch
  Council (ERC) under the European Union’s Horizon 2020 research and innovation\r\nprogram
  (101142681 CYNIPS) and Austrian Science Fund (FWF; P 37051-B), both to J.Friml.\r\nWe
  acknowledge the generous support of the Taif University Researchers Supporting\r\nProject:
  TURSP-­HC2022/02 and Max-Planck-Society to A.S. "
article_number: aea7828
article_processing_charge: Yes
article_type: original
author:
- first_name: Mingyue
  full_name: Li, Mingyue
  id: 01f96916-0235-11eb-9379-a323192643b7
  last_name: Li
- first_name: Monika
  full_name: Chodasiewicz, Monika
  last_name: Chodasiewicz
- first_name: Malavika
  full_name: Muraleedharan, Malavika
  last_name: Muraleedharan
- first_name: Israel M.
  full_name: Lopez, Israel M.
  last_name: Lopez
- first_name: Michal
  full_name: Gorka, Michal
  last_name: Gorka
- first_name: Olga
  full_name: Kerber, Olga
  last_name: Kerber
- first_name: Saqer S.
  full_name: Alotaibi, Saqer S.
  last_name: Alotaibi
- first_name: Andrew D.L.
  full_name: Nelson, Andrew D.L.
  last_name: Nelson
- first_name: Rene
  full_name: Lenobel, Rene
  last_name: Lenobel
- first_name: Jaroslava
  full_name: Friedecká, Jaroslava
  last_name: Friedecká
- first_name: Aleksandra
  full_name: Skirycz, Aleksandra
  last_name: Skirycz
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
citation:
  ama: Li M, Chodasiewicz M, Muraleedharan M, et al. Biogenesis and downstream effects
    of 3’,5’ and 2’,3’ cAMP isomers in plants. <i>Science Advances</i>. 2026;12(19).
    doi:<a href="https://doi.org/10.1126/sciadv.aea7828">10.1126/sciadv.aea7828</a>
  apa: Li, M., Chodasiewicz, M., Muraleedharan, M., Lopez, I. M., Gorka, M., Kerber,
    O., … Friml, J. (2026). Biogenesis and downstream effects of 3’,5’ and 2’,3’ cAMP
    isomers in plants. <i>Science Advances</i>. AAAS. <a href="https://doi.org/10.1126/sciadv.aea7828">https://doi.org/10.1126/sciadv.aea7828</a>
  chicago: Li, Mingyue, Monika Chodasiewicz, Malavika Muraleedharan, Israel M. Lopez,
    Michal Gorka, Olga Kerber, Saqer S. Alotaibi, et al. “Biogenesis and Downstream
    Effects of 3’,5’ and 2’,3’ CAMP Isomers in Plants.” <i>Science Advances</i>. AAAS,
    2026. <a href="https://doi.org/10.1126/sciadv.aea7828">https://doi.org/10.1126/sciadv.aea7828</a>.
  ieee: M. Li <i>et al.</i>, “Biogenesis and downstream effects of 3’,5’ and 2’,3’
    cAMP isomers in plants,” <i>Science Advances</i>, vol. 12, no. 19. AAAS, 2026.
  ista: Li M, Chodasiewicz M, Muraleedharan M, Lopez IM, Gorka M, Kerber O, Alotaibi
    SS, Nelson ADL, Lenobel R, Friedecká J, Skirycz A, Friml J. 2026. Biogenesis and
    downstream effects of 3’,5’ and 2’,3’ cAMP isomers in plants. Science Advances.
    12(19), aea7828.
  mla: Li, Mingyue, et al. “Biogenesis and Downstream Effects of 3’,5’ and 2’,3’ CAMP
    Isomers in Plants.” <i>Science Advances</i>, vol. 12, no. 19, aea7828, AAAS, 2026,
    doi:<a href="https://doi.org/10.1126/sciadv.aea7828">10.1126/sciadv.aea7828</a>.
  short: M. Li, M. Chodasiewicz, M. Muraleedharan, I.M. Lopez, M. Gorka, O. Kerber,
    S.S. Alotaibi, A.D.L. Nelson, R. Lenobel, J. Friedecká, A. Skirycz, J. Friml,
    Science Advances 12 (2026).
corr_author: '1'
date_created: 2026-05-24T22:01:31Z
date_published: 2026-05-08T00:00:00Z
date_updated: 2026-06-02T14:36:41Z
day: '08'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1126/sciadv.aea7828
external_id:
  pmid:
  - '42102187'
file:
- access_level: open_access
  checksum: 75b8ef2db078652c750e34e9cd98a808
  content_type: application/pdf
  creator: dernst
  date_created: 2026-06-02T14:33:55Z
  date_updated: 2026-06-02T14:33:55Z
  file_id: '21941'
  file_name: 2026_ScienceAdv_Li2.pdf
  file_size: 2014452
  relation: main_file
  success: 1
file_date_updated: 2026-06-02T14:33:55Z
has_accepted_license: '1'
intvolume: '        12'
issue: '19'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 8f347782-16d5-11f0-9cad-8c19706ee739
  grant_number: '101142681'
  name: Cyclic nucleotides as second messengers in plants
- _id: 7bcece63-9f16-11ee-852c-ae94e099eeb6
  grant_number: P37051
  name: Guanylate cyclase activity of TIR1/AFBs auxin receptors
publication: Science Advances
publication_identifier:
  eissn:
  - 2375-2548
publication_status: published
publisher: AAAS
quality_controlled: '1'
scopus_import: '1'
status: public
title: Biogenesis and downstream effects of 3',5' and 2',3' cAMP isomers in plants
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '21931'
abstract:
- lang: eng
  text: In 1873, James C. Maxwell conjectured that the electric field generated by
    n point charges in generic position has at most (n-1)^2 isolated zeroes. The first
    (nonoptimal) upper bound was only obtained in 2007 by Gabrielov, Novikov, and
    Shapiro, who also posed two additional interesting conjectures. In this article,
    we give the best upper bound known to date on the number of zeroes of the electric
    field, and construct a counterexample to Conjecture 1.8 by Gabrielov, Novikov,
    and Shapiro that the number of equilibria cannot exceed those of the distance
    function defined by the unit point charges. Finally, we note that it is quite
    possible that Maxwell's quadratic upper bound is not tight, so it is prudent to
    find lower bounds. Hence, we also explore examples and construct configurations
    of charges achieving the highest ratios of the number of electric field zeroes
    by point charges found to this day.
article_number: e70163
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Christopher D
  full_name: Fillmore, Christopher D
  id: 35638A5C-AAC7-11E9-B0BF-5503E6697425
  last_name: Fillmore
- first_name: Goncalo
  full_name: Oliveira, Goncalo
  id: 58abbde8-f455-11eb-a497-98c8fd71b905
  last_name: Oliveira
citation:
  ama: Edelsbrunner H, Fillmore CD, Oliveira G. Counting equilibria of the electrostatic
    potential. <i>Proceedings of the London Mathematical Society</i>. 2026;132(5).
    doi:<a href="https://doi.org/10.1112/plms.70163">10.1112/plms.70163</a>
  apa: Edelsbrunner, H., Fillmore, C. D., &#38; Oliveira, G. (2026). Counting equilibria
    of the electrostatic potential. <i>Proceedings of the London Mathematical Society</i>.
    Wiley. <a href="https://doi.org/10.1112/plms.70163">https://doi.org/10.1112/plms.70163</a>
  chicago: Edelsbrunner, Herbert, Christopher D Fillmore, and Goncalo Oliveira. “Counting
    Equilibria of the Electrostatic Potential.” <i>Proceedings of the London Mathematical
    Society</i>. Wiley, 2026. <a href="https://doi.org/10.1112/plms.70163">https://doi.org/10.1112/plms.70163</a>.
  ieee: H. Edelsbrunner, C. D. Fillmore, and G. Oliveira, “Counting equilibria of
    the electrostatic potential,” <i>Proceedings of the London Mathematical Society</i>,
    vol. 132, no. 5. Wiley, 2026.
  ista: Edelsbrunner H, Fillmore CD, Oliveira G. 2026. Counting equilibria of the
    electrostatic potential. Proceedings of the London Mathematical Society. 132(5),
    e70163.
  mla: Edelsbrunner, Herbert, et al. “Counting Equilibria of the Electrostatic Potential.”
    <i>Proceedings of the London Mathematical Society</i>, vol. 132, no. 5, e70163,
    Wiley, 2026, doi:<a href="https://doi.org/10.1112/plms.70163">10.1112/plms.70163</a>.
  short: H. Edelsbrunner, C.D. Fillmore, G. Oliveira, Proceedings of the London Mathematical
    Society 132 (2026).
corr_author: '1'
date_created: 2026-05-31T22:02:13Z
date_published: 2026-05-01T00:00:00Z
date_updated: 2026-06-02T09:24:18Z
day: '01'
department:
- _id: HeEd
- _id: TaHa
doi: 10.1112/plms.70163
external_id:
  arxiv:
  - '2501.05315'
intvolume: '       132'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2501.05315
month: '05'
oa: 1
oa_version: Preprint
publication: Proceedings of the London Mathematical Society
publication_identifier:
  eissn:
  - 1460-244X
  issn:
  - 0024-6115
publication_status: published
publisher: Wiley
quality_controlled: '1'
related_material:
  record:
  - id: '21050'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Counting equilibria of the electrostatic potential
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 132
year: '2026'
...
---
OA_place: publisher
OA_type: diamond
_id: '21932'
abstract:
- lang: eng
  text: We present LLMQ, an end-to-end CUDA/C++ implementation for medium-sized language-model
    training, e.g. 3B to 32B parameters, on affordable, commodity GPUs. These devices
    are characterized by low memory availability and slow communication compared to
    datacentre-grade GPUs. Consequently, we showcase a range of optimizations that
    target these bottlenecks, including activation checkpointing, offloading, and
    copy-engine based collectives. LLMQ is able to train or fine-tune a 7B model on
    a single 16GB mid-range gaming card, or a 32B model on a workstation equipped
    with 4 RTX 4090s. This is achieved while executing a standard 8-bit training pipeline,
    without additional algorithmic approximations, and maintaining FLOP utilization
    of around 50%. The efficiency of LLMQ rivals that of production-scale systems
    on much more expensive cloud-grade GPUs.
acknowledgement: "We would like to thank contacts at NVIDIA (Vartika Singh, Nina Carrejo,
  Kyla Wilkes, and Tijmen\r\nBlankevoort), HP (Curtis Burkhalter), and Datacrunch/Verda
  (Paul Chang and Antonio\r\nDominguez) for hardware support that was essential to
  this project. ES was supported in part\r\nby ERC Proof-of-Concept grant FastML."
alternative_title:
- PMLR
article_processing_charge: No
author:
- first_name: Erik
  full_name: Schultheis, Erik
  id: 2786b299-e6b0-11f0-91da-9243fe3ef96b
  last_name: Schultheis
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
citation:
  ama: 'Schultheis E, Alistarh D-A. LLMQ: Efficient lower-precision LLM training for
    consumer GPUs. In: <i>2nd Conference on Parsimony and Learning</i>. Vol 328. ML
    Research Press; 2026:265-284.'
  apa: 'Schultheis, E., &#38; Alistarh, D.-A. (2026). LLMQ: Efficient lower-precision
    LLM training for consumer GPUs. In <i>2nd Conference on Parsimony and Learning</i>
    (Vol. 328, pp. 265–284). Stanford, CA, United States: ML Research Press.'
  chicago: 'Schultheis, Erik, and Dan-Adrian Alistarh. “LLMQ: Efficient Lower-Precision
    LLM Training for Consumer GPUs.” In <i>2nd Conference on Parsimony and Learning</i>,
    328:265–84. ML Research Press, 2026.'
  ieee: 'E. Schultheis and D.-A. Alistarh, “LLMQ: Efficient lower-precision LLM training
    for consumer GPUs,” in <i>2nd Conference on Parsimony and Learning</i>, Stanford,
    CA, United States, 2026, vol. 328, pp. 265–284.'
  ista: 'Schultheis E, Alistarh D-A. 2026. LLMQ: Efficient lower-precision LLM training
    for consumer GPUs. 2nd Conference on Parsimony and Learning. CPAL: Conference
    on Parsimony and Learning, PMLR, vol. 328, 265–284.'
  mla: 'Schultheis, Erik, and Dan-Adrian Alistarh. “LLMQ: Efficient Lower-Precision
    LLM Training for Consumer GPUs.” <i>2nd Conference on Parsimony and Learning</i>,
    vol. 328, ML Research Press, 2026, pp. 265–84.'
  short: E. Schultheis, D.-A. Alistarh, in:, 2nd Conference on Parsimony and Learning,
    ML Research Press, 2026, pp. 265–284.
conference:
  end_date: 2025-03-27
  location: Stanford, CA, United States
  name: 'CPAL: Conference on Parsimony and Learning'
  start_date: 2025-03-24
corr_author: '1'
date_created: 2026-05-31T22:02:13Z
date_published: 2026-04-06T00:00:00Z
date_updated: 2026-06-03T05:53:30Z
day: '06'
ddc:
- '000'
department:
- _id: DaAl
file:
- access_level: open_access
  checksum: 72f9a87c70f1e2105ef64050ee5017e5
  content_type: application/pdf
  creator: dernst
  date_created: 2026-06-03T05:51:19Z
  date_updated: 2026-06-03T05:51:19Z
  file_id: '21942'
  file_name: 2026_CPAL_Schultheis.pdf
  file_size: 2099944
  relation: main_file
  success: 1
file_date_updated: 2026-06-03T05:51:19Z
has_accepted_license: '1'
intvolume: '       328'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 265-284
publication: 2nd Conference on Parsimony and Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/IST-DASLab/llmq
scopus_import: '1'
status: public
title: 'LLMQ: Efficient lower-precision LLM training for consumer GPUs'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 328
year: '2026'
...
