---
OA_place: repository
OA_type: green
_id: '19055'
abstract:
- lang: eng
  text: "Using the formalism of Cox rings and universal torsors, we prove a decomposition
    of the Grothendieck motive of the moduli space of morphisms from an arbitrary
    smooth projective curve to a Mori Dream Space (MDS).\r\n For the simplest cases
    of MDS, that of toric varieties, we use this decomposition to prove an instance
    of the motivic Batyrev--Manin--Peyre principle for curves satisfying tangency
    conditions with respect to the boundary divisors, often called Campana curves."
acknowledgement: "The author acknowledges funding from the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement
  No 101034413.\r\n"
article_number: '2502.11704'
article_processing_charge: No
arxiv: 1
author:
- first_name: Loïs
  full_name: Faisant, Loïs
  id: 26ca6926-5797-11ee-9232-f8b51bd19631
  last_name: Faisant
citation:
  ama: Faisant L. Motivic counting of rational curves with tangency conditions via
    universal torsors. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/ARXIV.2502.11704">10.48550/ARXIV.2502.11704</a>
  apa: Faisant, L. (n.d.). Motivic counting of rational curves with tangency conditions
    via universal torsors. <i>arXiv</i>. <a href="https://doi.org/10.48550/ARXIV.2502.11704">https://doi.org/10.48550/ARXIV.2502.11704</a>
  chicago: Faisant, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions
    via Universal Torsors.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/ARXIV.2502.11704">https://doi.org/10.48550/ARXIV.2502.11704</a>.
  ieee: L. Faisant, “Motivic counting of rational curves with tangency conditions
    via universal torsors,” <i>arXiv</i>. .
  ista: Faisant L. Motivic counting of rational curves with tangency conditions via
    universal torsors. arXiv, 2502.11704.
  mla: Faisant, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions
    via Universal Torsors.” <i>ArXiv</i>, 2502.11704, doi:<a href="https://doi.org/10.48550/ARXIV.2502.11704">10.48550/ARXIV.2502.11704</a>.
  short: L. Faisant, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-02-18T13:34:07Z
date_published: 2025-02-17T00:00:00Z
date_updated: 2026-07-16T09:24:48Z
day: '17'
department:
- _id: TiBr
doi: 10.48550/ARXIV.2502.11704
ec_funded: 1
external_id:
  arxiv:
  - '2502.11704'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2502.11704
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: arXiv
publication_status: submitted
researchdata_availability: no
status: public
supplementarymaterial: no
title: Motivic counting of rational curves with tangency conditions via universal
  torsors
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19776'
abstract:
- lang: eng
  text: We use the circle method to prove that a density 1 of elements in Fq[t] are
    representable as a sum of three cubes of essentially minimal degree from Fq[t],
    assuming the Ratios Conjecture and that char(Fq)>3. Roughly speaking, to do so,
    we upgrade an order of magnitude result to a full asymptotic formula that was
    conjectured by Hooley in the number field setting.
acknowledgement: We thank Alexandra Florea for discussions on cubic Gauss sums over
  function fields, in addition to the anonymous referee for helpful comments. While
  working on this paper the first two authors were supported by a FWF grant (DOI 10.55776/P36278)
  and the third author was supported by the European Union’s Horizon 2020 research
  and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413.
  Open access funding provided by Institute of Science and Technology (IST Austria).
article_number: '65'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Jakob
  full_name: Glas, Jakob
  id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb
  last_name: Glas
- first_name: Victor
  full_name: Wang, Victor
  id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
  last_name: Wang
  orcid: 0000-0002-0704-7026
citation:
  ama: Browning TD, Glas J, Wang V. Optimal sums of three cubes in Fq[t]. <i>Mathematische
    Zeitschrift</i>. 2025;310(4). doi:<a href="https://doi.org/10.1007/s00209-025-03765-z">10.1007/s00209-025-03765-z</a>
  apa: Browning, T. D., Glas, J., &#38; Wang, V. (2025). Optimal sums of three cubes
    in Fq[t]. <i>Mathematische Zeitschrift</i>. Springer Nature. <a href="https://doi.org/10.1007/s00209-025-03765-z">https://doi.org/10.1007/s00209-025-03765-z</a>
  chicago: Browning, Timothy D, Jakob Glas, and Victor Wang. “Optimal Sums of Three
    Cubes in Fq[T].” <i>Mathematische Zeitschrift</i>. Springer Nature, 2025. <a href="https://doi.org/10.1007/s00209-025-03765-z">https://doi.org/10.1007/s00209-025-03765-z</a>.
  ieee: T. D. Browning, J. Glas, and V. Wang, “Optimal sums of three cubes in Fq[t],”
    <i>Mathematische Zeitschrift</i>, vol. 310, no. 4. Springer Nature, 2025.
  ista: Browning TD, Glas J, Wang V. 2025. Optimal sums of three cubes in Fq[t]. Mathematische
    Zeitschrift. 310(4), 65.
  mla: Browning, Timothy D., et al. “Optimal Sums of Three Cubes in Fq[T].” <i>Mathematische
    Zeitschrift</i>, vol. 310, no. 4, 65, Springer Nature, 2025, doi:<a href="https://doi.org/10.1007/s00209-025-03765-z">10.1007/s00209-025-03765-z</a>.
  short: T.D. Browning, J. Glas, V. Wang, Mathematische Zeitschrift 310 (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-06-03T07:30:21Z
date_published: 2025-05-23T00:00:00Z
date_updated: 2026-07-16T10:50:51Z
day: '23'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1007/s00209-025-03765-z
ec_funded: 1
external_id:
  arxiv:
  - '2408.03668 '
  isi:
  - '001494367000001'
file:
- access_level: open_access
  checksum: 6f71e25740c28257bf89b8bf116c2b4d
  content_type: application/pdf
  creator: dernst
  date_created: 2025-06-03T08:28:14Z
  date_updated: 2025-06-03T08:28:14Z
  file_id: '19782'
  file_name: 2025_MathZeitschrift_Browning.pdf
  file_size: 461622
  relation: main_file
  success: 1
file_date_updated: 2025-06-03T08:28:14Z
has_accepted_license: '1'
intvolume: '       310'
isi: 1
issue: '4'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3
  grant_number: P36278
  name: Rational curves via function field analytic number theory
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Mathematische Zeitschrift
publication_identifier:
  eissn:
  - 1432-1823
  issn:
  - 0025-5874
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Optimal sums of three cubes in Fq[t]
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 310
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '19727'
abstract:
- lang: eng
  text: By studying some Clausen-like multiple Dirichlet series, we complete the proof
    of Manin's conjecture for sufficiently split smooth equivariant compactifications
    of the translation-dilation group over the rationals. Secondary terms remain elusive
    in general.
acknowledgement: I thank Yuri Tschinkel for introducing me to the beautiful paper
  [53] and associated open questions, and thank him as well as Ramin Takloo-Bighash
  and Sho Tanimoto for their encouragement and comments. Also, I thank Tim Browning
  and Dan Loughran for comments and suggestions concerning Manin–Peyre, homogeneous
  spaces, and splitness. Thanks also to Anshul Adve, Peter Sarnak, Philip Tosteson,
  Katy Woo, and Nina Zubrilina for some interesting discussions. I thank the Browning
  Group and Andy O'Desky for many conversations. This project has received funding
  from the European Union's Horizon 2020 research and innovation program under the
  Marie Skłodowska-Curie Grant Agreement No. 101034413. Finally, I thank the editors
  and referees for their detailed input, which substantially improved the paper.
article_number: '110341'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Victor
  full_name: Wang, Victor
  id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
  last_name: Wang
  orcid: 0000-0002-0704-7026
citation:
  ama: Wang V. Asymptotic growth of translation-dilation orbits. <i>Advances in Mathematics</i>.
    2025;475. doi:<a href="https://doi.org/10.1016/j.aim.2025.110341">10.1016/j.aim.2025.110341</a>
  apa: Wang, V. (2025). Asymptotic growth of translation-dilation orbits. <i>Advances
    in Mathematics</i>. Elsevier. <a href="https://doi.org/10.1016/j.aim.2025.110341">https://doi.org/10.1016/j.aim.2025.110341</a>
  chicago: Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” <i>Advances
    in Mathematics</i>. Elsevier, 2025. <a href="https://doi.org/10.1016/j.aim.2025.110341">https://doi.org/10.1016/j.aim.2025.110341</a>.
  ieee: V. Wang, “Asymptotic growth of translation-dilation orbits,” <i>Advances in
    Mathematics</i>, vol. 475. Elsevier, 2025.
  ista: Wang V. 2025. Asymptotic growth of translation-dilation orbits. Advances in
    Mathematics. 475, 110341.
  mla: Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” <i>Advances
    in Mathematics</i>, vol. 475, 110341, Elsevier, 2025, doi:<a href="https://doi.org/10.1016/j.aim.2025.110341">10.1016/j.aim.2025.110341</a>.
  short: V. Wang, Advances in Mathematics 475 (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-05-25T22:16:41Z
date_published: 2025-07-01T00:00:00Z
date_updated: 2026-07-16T10:45:31Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1016/j.aim.2025.110341
ec_funded: 1
external_id:
  arxiv:
  - '2309.07626'
  isi:
  - '001495142300002'
file:
- access_level: open_access
  checksum: 01f2589b678ba840d6a4066c1d8d7642
  content_type: application/pdf
  creator: dernst
  date_created: 2025-12-30T08:30:17Z
  date_updated: 2025-12-30T08:30:17Z
  file_id: '20895'
  file_name: 2025_AdvMathematics_Wang.pdf
  file_size: 1592341
  relation: main_file
  success: 1
file_date_updated: 2025-12-30T08:30:17Z
has_accepted_license: '1'
intvolume: '       475'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Advances in Mathematics
publication_identifier:
  eissn:
  - 1090-2082
  issn:
  - 0001-8708
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Asymptotic growth of translation-dilation orbits
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 475
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
_id: '19673'
abstract:
- lang: eng
  text: We show that almost all primes p =\= ± 4 mod9 are sums of three cubes, assuming
    a conjecture due to Hooley, Manin, et al. on cubic fourfolds. This conjecture
    is approachable under standard statistical hypotheses on geometric families of
    L-functions.
acknowledgement: This work was partially supported by the European Union’s Horizon
  2020 research and innovation program under the MarieSkłodowska-Curie Grant Agreement
  No. 101034413
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Victor
  full_name: Wang, Victor
  id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
  last_name: Wang
  orcid: 0000-0002-0704-7026
citation:
  ama: Wang V. Prime Hasse principles via diophantine second moments. <i>Journal of
    the Association for Mathematical Research</i>. 2025;3(1):1-26. doi:<a href="https://doi.org/10.56994/JAMR.003.001.001">10.56994/JAMR.003.001.001</a>
  apa: Wang, V. (2025). Prime Hasse principles via diophantine second moments. <i>Journal
    of the Association for Mathematical Research</i>. Association for Mathematical
    Research. <a href="https://doi.org/10.56994/JAMR.003.001.001">https://doi.org/10.56994/JAMR.003.001.001</a>
  chicago: Wang, Victor. “Prime Hasse Principles via Diophantine Second Moments.”
    <i>Journal of the Association for Mathematical Research</i>. Association for Mathematical
    Research, 2025. <a href="https://doi.org/10.56994/JAMR.003.001.001">https://doi.org/10.56994/JAMR.003.001.001</a>.
  ieee: V. Wang, “Prime Hasse principles via diophantine second moments,” <i>Journal
    of the Association for Mathematical Research</i>, vol. 3, no. 1. Association for
    Mathematical Research, pp. 1–26, 2025.
  ista: Wang V. 2025. Prime Hasse principles via diophantine second moments. Journal
    of the Association for Mathematical Research. 3(1), 1–26.
  mla: Wang, Victor. “Prime Hasse Principles via Diophantine Second Moments.” <i>Journal
    of the Association for Mathematical Research</i>, vol. 3, no. 1, Association for
    Mathematical Research, 2025, pp. 1–26, doi:<a href="https://doi.org/10.56994/JAMR.003.001.001">10.56994/JAMR.003.001.001</a>.
  short: V. Wang, Journal of the Association for Mathematical Research 3 (2025) 1–26.
corr_author: '1'
das_tickbox: '0'
date_created: 2025-05-11T22:02:41Z
date_published: 2025-01-23T00:00:00Z
date_updated: 2026-07-16T09:41:30Z
day: '23'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.56994/JAMR.003.001.001
ec_funded: 1
external_id:
  arxiv:
  - '2304.08674'
file:
- access_level: open_access
  checksum: f9a1057d146632890466a7dc33bf625e
  content_type: application/pdf
  creator: dernst
  date_created: 2025-05-12T10:23:26Z
  date_updated: 2025-05-12T10:23:26Z
  file_id: '19682'
  file_name: 2025_JAMR_Wang.pdf
  file_size: 1094167
  relation: main_file
  success: 1
file_date_updated: 2025-05-12T10:23:26Z
has_accepted_license: '1'
intvolume: '         3'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 1-26
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Journal of the Association for Mathematical Research
publication_identifier:
  eissn:
  - 2998-4114
publication_status: published
publisher: Association for Mathematical Research
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Prime Hasse principles via diophantine second moments
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 3
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19407'
abstract:
- lang: eng
  text: We discuss, in a non-Archimedean setting, the distribution of the coefficients
    of L-polynomials of curves of genus g over  Fq . Among other results, this allows
    us to prove that the  Q-vector space spanned by such characteristic polynomials
    has dimension g + 1. We also state a conjecture about the Archimedean distribution
    of the number of rational points of curves over finite fields.
acknowledgement: We thank Umberto Zannier for bringing the problem to our attention,
  for many useful suggestions, and especially for pointing out the relevance of the
  equidistribution results of Katz–Sarnak, noting that they imply the case  q≫g0 of
  theorem 1.4. In addition, the first author would like to thank Umberto Zannier for
  his guidance during his undergraduate studies, on a topic that ultimately inspired
  much of the work in this article. We are grateful to J. Kaczorowski and A. Perelli
  for sharing their work [Reference Kaczorowski and Perelli28] before publication.
  We thank Christophe Ritzenthaler and Elisa Lorenzo García for their interesting
  comments on the first version of this article, Zhao Yu Ma for a comment about remark
  3.12, and the anonymous referees for their helpful suggestions.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Francesco
  full_name: Ballini, Francesco
  last_name: Ballini
- first_name: Davide
  full_name: Lombardo, Davide
  last_name: Lombardo
- first_name: Matteo
  full_name: Verzobio, Matteo
  id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
  last_name: Verzobio
  orcid: 0000-0002-0854-0306
citation:
  ama: 'Ballini F, Lombardo D, Verzobio M. On the L-polynomials of curves over finite
    fields. <i>Proceedings of the Royal Society of Edinburgh Section A: Mathematics</i>.
    2025. doi:<a href="https://doi.org/10.1017/prm.2025.7">10.1017/prm.2025.7</a>'
  apa: 'Ballini, F., Lombardo, D., &#38; Verzobio, M. (2025). On the L-polynomials
    of curves over finite fields. <i>Proceedings of the Royal Society of Edinburgh
    Section A: Mathematics</i>. Cambridge University Press. <a href="https://doi.org/10.1017/prm.2025.7">https://doi.org/10.1017/prm.2025.7</a>'
  chicago: 'Ballini, Francesco, Davide Lombardo, and Matteo Verzobio. “On the L-Polynomials
    of Curves over Finite Fields.” <i>Proceedings of the Royal Society of Edinburgh
    Section A: Mathematics</i>. Cambridge University Press, 2025. <a href="https://doi.org/10.1017/prm.2025.7">https://doi.org/10.1017/prm.2025.7</a>.'
  ieee: 'F. Ballini, D. Lombardo, and M. Verzobio, “On the L-polynomials of curves
    over finite fields,” <i>Proceedings of the Royal Society of Edinburgh Section
    A: Mathematics</i>. Cambridge University Press, 2025.'
  ista: 'Ballini F, Lombardo D, Verzobio M. 2025. On the L-polynomials of curves over
    finite fields. Proceedings of the Royal Society of Edinburgh Section A: Mathematics.'
  mla: 'Ballini, Francesco, et al. “On the L-Polynomials of Curves over Finite Fields.”
    <i>Proceedings of the Royal Society of Edinburgh Section A: Mathematics</i>, Cambridge
    University Press, 2025, doi:<a href="https://doi.org/10.1017/prm.2025.7">10.1017/prm.2025.7</a>.'
  short: 'F. Ballini, D. Lombardo, M. Verzobio, Proceedings of the Royal Society of
    Edinburgh Section A: Mathematics (2025).'
corr_author: '1'
das_tickbox: '0'
date_created: 2025-03-16T23:01:25Z
date_published: 2025-02-06T00:00:00Z
date_updated: 2026-07-16T09:31:02Z
day: '06'
ddc:
- '500'
department:
- _id: TiBr
doi: 10.1017/prm.2025.7
external_id:
  isi:
  - '001414690400001'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1017/prm.2025.7
month: '02'
oa: 1
oa_version: Published Version
publication: 'Proceedings of the Royal Society of Edinburgh Section A: Mathematics'
publication_identifier:
  eissn:
  - 1473-7124
  issn:
  - 0308-2105
publication_status: epub_ahead
publisher: Cambridge University Press
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: On the L-polynomials of curves over finite fields
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19483'
abstract:
- lang: eng
  text: We prove matching upper and lower bounds for the average of the6-torsionof
    class groups of quadratic fields. Furthermore, we count the number of integer
    solutions on an affine quartic threefold.
article_number: '18'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yik Tung
  full_name: Chan, Yik Tung
  id: c4c0afc8-9262-11ed-9231-d8b0bc743af1
  last_name: Chan
  orcid: 0000-0001-8467-4106
- first_name: Peter
  full_name: Koymans, Peter
  last_name: Koymans
- first_name: Carlo
  full_name: Pagano, Carlo
  last_name: Pagano
- first_name: Efthymios
  full_name: Sofos, Efthymios
  last_name: Sofos
citation:
  ama: Chan S, Koymans P, Pagano C, Sofos E. 6-torision and integral points on quartic
    threefolds. <i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>.
    2025. doi:<a href="https://doi.org/10.2422/2036-2145.202412_006">10.2422/2036-2145.202412_006</a>
  apa: Chan, S., Koymans, P., Pagano, C., &#38; Sofos, E. (2025). 6-torision and integral
    points on quartic threefolds. <i>Annali Della Scuola Normale Superiore Di Pisa,
    Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale. <a href="https://doi.org/10.2422/2036-2145.202412_006">https://doi.org/10.2422/2036-2145.202412_006</a>
  chicago: Chan, Stephanie, Peter Koymans, Carlo Pagano, and Efthymios Sofos. “6-Torision
    and Integral Points on Quartic Threefolds.” <i>Annali Della Scuola Normale Superiore
    Di Pisa, Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale,
    2025. <a href="https://doi.org/10.2422/2036-2145.202412_006">https://doi.org/10.2422/2036-2145.202412_006</a>.
  ieee: S. Chan, P. Koymans, C. Pagano, and E. Sofos, “6-torision and integral points
    on quartic threefolds,” <i>Annali della Scuola Normale Superiore di Pisa, Classe
    di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale, 2025.
  ista: Chan S, Koymans P, Pagano C, Sofos E. 2025. 6-torision and integral points
    on quartic threefolds. Annali della Scuola Normale Superiore di Pisa, Classe di
    Scienze., 18.
  mla: Chan, Stephanie, et al. “6-Torision and Integral Points on Quartic Threefolds.”
    <i>Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze</i>, 18, Scuola
    Normale Superiore - Edizioni della Normale, 2025, doi:<a href="https://doi.org/10.2422/2036-2145.202412_006">10.2422/2036-2145.202412_006</a>.
  short: S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore
    Di Pisa, Classe Di Scienze (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-04-05T10:49:27Z
date_published: 2025-03-07T00:00:00Z
date_updated: 2026-07-16T09:35:52Z
day: '07'
department:
- _id: TiBr
doi: 10.2422/2036-2145.202412_006
external_id:
  arxiv:
  - '2403.13359'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2403.13359'
month: '03'
oa: 1
oa_version: Preprint
publication: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
publication_identifier:
  eissn:
  - 2036-2145
  issn:
  - 0391-173X
publication_status: epub_ahead
publisher: Scuola Normale Superiore - Edizioni della Normale
researchdata_availability: no
status: public
supplementarymaterial: no
title: 6-torision and integral points on quartic threefolds
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '20222'
abstract:
- lang: eng
  text: Let X be a smooth projective hypersurface defined over Q. We provide new bounds
    for rational points of bounded height on X. In particular, we show that if X is
    a smooth projective hypersurface in Pn with n  4 and degree d  50, then the set
    of rational points on X of height bounded by B have cardinality On,d,ε (Bn−2+ε
    ). If X is smooth and has degree d  6, we improve the dimension growth conjecture
    bound. We achieve an analogue result for affine hypersurfaces whose projective
    closure is smooth.
acknowledgement: "While working on this paper, the author was supported by the European
  Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie
  Grant Agreement No. 101034413. The author is very grateful to Tim Browning for suggesting
  the problem and for many useful discussions. We thank the anonymous referees for
  their many helpful comments, which improved the exposition of the paper. We are
  also grateful to Gal Binyamini for their interest in this work and for drawing our
  attention to the aforementioned paper [1].\r\nWe shared an early version of this
  paper with Per Salberger, who mentioned that he announced a new bound for smooth
  threefolds in P4 during a talk in 2019 (see [7] for the abstract). This result has
  not been published."
article_number: rnaf249
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Matteo
  full_name: Verzobio, Matteo
  id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
  last_name: Verzobio
  orcid: 0000-0002-0854-0306
citation:
  ama: Verzobio M. Counting rational points on smooth hypersurfaces with high degree.
    <i>International Mathematics Research Notices</i>. 2025;2025(16). doi:<a href="https://doi.org/10.1093/imrn/rnaf249">10.1093/imrn/rnaf249</a>
  apa: Verzobio, M. (2025). Counting rational points on smooth hypersurfaces with
    high degree. <i>International Mathematics Research Notices</i>. Oxford University
    Press. <a href="https://doi.org/10.1093/imrn/rnaf249">https://doi.org/10.1093/imrn/rnaf249</a>
  chicago: Verzobio, Matteo. “Counting Rational Points on Smooth Hypersurfaces with
    High Degree.” <i>International Mathematics Research Notices</i>. Oxford University
    Press, 2025. <a href="https://doi.org/10.1093/imrn/rnaf249">https://doi.org/10.1093/imrn/rnaf249</a>.
  ieee: M. Verzobio, “Counting rational points on smooth hypersurfaces with high degree,”
    <i>International Mathematics Research Notices</i>, vol. 2025, no. 16. Oxford University
    Press, 2025.
  ista: Verzobio M. 2025. Counting rational points on smooth hypersurfaces with high
    degree. International Mathematics Research Notices. 2025(16), rnaf249.
  mla: Verzobio, Matteo. “Counting Rational Points on Smooth Hypersurfaces with High
    Degree.” <i>International Mathematics Research Notices</i>, vol. 2025, no. 16,
    rnaf249, Oxford University Press, 2025, doi:<a href="https://doi.org/10.1093/imrn/rnaf249">10.1093/imrn/rnaf249</a>.
  short: M. Verzobio, International Mathematics Research Notices 2025 (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-08-24T22:01:31Z
date_published: 2025-08-01T00:00:00Z
date_updated: 2026-07-17T11:55:00Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1093/imrn/rnaf249
ec_funded: 1
external_id:
  arxiv:
  - '2503.19451'
  isi:
  - '001549126000001'
file:
- access_level: open_access
  checksum: 482ae2be98841ee446cf2bdfcd79f86f
  content_type: application/pdf
  creator: dernst
  date_created: 2025-09-02T07:55:05Z
  date_updated: 2025-09-02T07:55:05Z
  file_id: '20275'
  file_name: 2025_IMRN_Verzobio.pdf
  file_size: 540263
  relation: main_file
  success: 1
file_date_updated: 2025-09-02T07:55:05Z
has_accepted_license: '1'
intvolume: '      2025'
isi: 1
issue: '16'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: International Mathematics Research Notices
publication_identifier:
  eissn:
  - 1687-0247
  issn:
  - 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Counting rational points on smooth hypersurfaces with high degree
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 2025
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '20367'
abstract:
- lang: eng
  text: We prove upper and lower bounds on the number of pairs of commuting n x n
    matrices with integer entries in [-T, T], as T -> . Our work uses Fourier analysis
    and leads to an analysis of exponential sums involving matrices over finite fields.
    These are bounded by combining a stratification result of Fouvry and Katz with
    a new result about the flatness of the commutator Lie bracket.
acknowledgement: The authors are very grateful to Alina Ostafe, Matthew Satriano and
  Igor Shparlinski for drawing their attention to this problem and for useful comments,
  and to Michael Larsen and Peter Sarnak for their helpful correspondence. We also
  thank the referee for their valuable input. While working on this paper the first
  author was supported by a FWF grant (DOI 10.55776/P36278), the second author by
  a Sloan Research Fellowship, and the third author by the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
  No. 101034413. Open access funding provided by Institute of Science and Technology
  (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Will
  full_name: Sawin, Will
  last_name: Sawin
- first_name: Victor
  full_name: Wang, Victor
  id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
  last_name: Wang
  orcid: 0000-0002-0704-7026
citation:
  ama: Browning TD, Sawin W, Wang V. Pairs of commuting integer matrices. <i>Mathematische
    Annalen</i>. 2025;393:1863–1880. doi:<a href="https://doi.org/10.1007/s00208-025-03285-5">10.1007/s00208-025-03285-5</a>
  apa: Browning, T. D., Sawin, W., &#38; Wang, V. (2025). Pairs of commuting integer
    matrices. <i>Mathematische Annalen</i>. Springer Nature. <a href="https://doi.org/10.1007/s00208-025-03285-5">https://doi.org/10.1007/s00208-025-03285-5</a>
  chicago: Browning, Timothy D, Will Sawin, and Victor Wang. “Pairs of Commuting Integer
    Matrices.” <i>Mathematische Annalen</i>. Springer Nature, 2025. <a href="https://doi.org/10.1007/s00208-025-03285-5">https://doi.org/10.1007/s00208-025-03285-5</a>.
  ieee: T. D. Browning, W. Sawin, and V. Wang, “Pairs of commuting integer matrices,”
    <i>Mathematische Annalen</i>, vol. 393. Springer Nature, pp. 1863–1880, 2025.
  ista: Browning TD, Sawin W, Wang V. 2025. Pairs of commuting integer matrices. Mathematische
    Annalen. 393, 1863–1880.
  mla: Browning, Timothy D., et al. “Pairs of Commuting Integer Matrices.” <i>Mathematische
    Annalen</i>, vol. 393, Springer Nature, 2025, pp. 1863–1880, doi:<a href="https://doi.org/10.1007/s00208-025-03285-5">10.1007/s00208-025-03285-5</a>.
  short: T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.
corr_author: '1'
das_tickbox: '0'
date_created: 2025-09-21T22:01:31Z
date_published: 2025-10-01T00:00:00Z
date_updated: 2026-07-17T12:01:12Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1007/s00208-025-03285-5
ec_funded: 1
external_id:
  arxiv:
  - '2409.01920'
  isi:
  - '001567740200001'
file:
- access_level: open_access
  checksum: 1e94da1a67306e03c8e0086518faf4bc
  content_type: application/pdf
  creator: dernst
  date_created: 2026-01-05T13:15:44Z
  date_updated: 2026-01-05T13:15:44Z
  file_id: '20950'
  file_name: 2025_MathAnnalen_Browning.pdf
  file_size: 337505
  relation: main_file
  success: 1
file_date_updated: 2026-01-05T13:15:44Z
has_accepted_license: '1'
intvolume: '       393'
isi: 1
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 1863–1880
project:
- _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3
  grant_number: P36278
  name: Rational curves via function field analytic number theory
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Mathematische Annalen
publication_identifier:
  eissn:
  - 1432-1807
  issn:
  - 0025-5831
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Pairs of commuting integer matrices
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 393
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '20423'
abstract:
- lang: eng
  text: "For any d  2, we prove that there exists an integer n0(d) such that there
    exists an n × n\r\nmagic square of dth powers for all n  n0(d). In particular,
    we establish the existence of\r\nan n × n magic square of squares for all n  4,
    which settles a conjecture of\r\nVárilly-Alvarado. All previous approaches had
    been based on constructive methods and\r\nthe existence of n × n magic squares
    of dth powers had only been known for sparse\r\nvalues of n. We prove our result
    by the Hardy-Littlewood circle method, which in this\r\nsetting essentially reduces
    the problem to finding a sufficient number of disjoint linearly\r\nindependent
    subsets of the columns of the coefficient matrix of the equations defining\r\nmagic
    squares. We prove an optimal (up to a constant) lower bound for this quantity."
acknowledgement: "The authors are grateful to Tim Browning for his constant encouragement
  and enthusiasm, Jörg Brüdern for very helpful discussion regarding his paper [1]
  and Diyuan Wu for turning the proof of Theorem 2.4 in the original version into
  an algorithm and running the computation for us, for which the results are available
  in the appendix of the original version. They would also like to thank Christian
  Boyer for maintaining his website [4] which contains a comprehensive list of various
  magic squares discovered, Brady Haran and Tony Várilly-Alvarado for their public
  engagement activity of mathematics and magic squares of squares (A YouTube video
  “Magic Squares of Squares (are PROBABLY impossible)” of the Numberphile channel
  by Brady Haran, in which Tony Várilly-Alvarado appears as a guest speaker: https://www.youtube.com/watch?v=Kdsj84UdeYg.),
  and all the magic squares enthusiasts who have contributed to [4] which made this
  paper possible. Finally, the authors would like to thank the anonymous referees
  for their helpful comments, Daniel Flores for his work [11] which inspired them
  to optimise the proof of Theorem 2.4 and Trevor Wooley for very helpful discussion
  regarding recent developments in Waring’s problem and his comments on the original
  version of this paper.\r\nOpen access funding provided by Institute of Science and
  Technology (IST Austria). NR was supported by FWF project ESP 441-NBL while SY by
  a FWF grant (DOI 10.55776/P32428)."
article_number: '91'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Nick
  full_name: Rome, Nick
  last_name: Rome
- first_name: Shuntaro
  full_name: Yamagishi, Shuntaro
  id: 0c3fbc5c-f7a6-11ec-8d70-9485e75b416b
  last_name: Yamagishi
citation:
  ama: Rome N, Yamagishi S. On the existence of magic squares of powers. <i>Research
    in Number Theory</i>. 2025;11(4). doi:<a href="https://doi.org/10.1007/s40993-025-00671-5">10.1007/s40993-025-00671-5</a>
  apa: Rome, N., &#38; Yamagishi, S. (2025). On the existence of magic squares of
    powers. <i>Research in Number Theory</i>. Springer Nature. <a href="https://doi.org/10.1007/s40993-025-00671-5">https://doi.org/10.1007/s40993-025-00671-5</a>
  chicago: Rome, Nick, and Shuntaro Yamagishi. “On the Existence of Magic Squares
    of Powers.” <i>Research in Number Theory</i>. Springer Nature, 2025. <a href="https://doi.org/10.1007/s40993-025-00671-5">https://doi.org/10.1007/s40993-025-00671-5</a>.
  ieee: N. Rome and S. Yamagishi, “On the existence of magic squares of powers,” <i>Research
    in Number Theory</i>, vol. 11, no. 4. Springer Nature, 2025.
  ista: Rome N, Yamagishi S. 2025. On the existence of magic squares of powers. Research
    in Number Theory. 11(4), 91.
  mla: Rome, Nick, and Shuntaro Yamagishi. “On the Existence of Magic Squares of Powers.”
    <i>Research in Number Theory</i>, vol. 11, no. 4, 91, Springer Nature, 2025, doi:<a
    href="https://doi.org/10.1007/s40993-025-00671-5">10.1007/s40993-025-00671-5</a>.
  short: N. Rome, S. Yamagishi, Research in Number Theory 11 (2025).
corr_author: '1'
das_tickbox: '0'
date_created: 2025-10-05T22:01:34Z
date_published: 2025-09-23T00:00:00Z
date_updated: 2026-07-17T12:16:15Z
day: '23'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1007/s40993-025-00671-5
external_id:
  arxiv:
  - '2406.09364'
file:
- access_level: open_access
  checksum: d41fbdc0cfc1fbceb519eb49b20a3ec2
  content_type: application/pdf
  creator: dernst
  date_created: 2025-10-13T11:28:49Z
  date_updated: 2025-10-13T11:28:49Z
  file_id: '20463'
  file_name: 2025_ResearchNumberTheory_Rome.pdf
  file_size: 428531
  relation: main_file
  success: 1
file_date_updated: 2025-10-13T11:28:49Z
has_accepted_license: '1'
intvolume: '        11'
issue: '4'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P32428
  name: New frontiers of the Manin conjecture
publication: Research in Number Theory
publication_identifier:
  eissn:
  - 2363-9555
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: On the existence of magic squares of powers
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 11
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '22340'
abstract:
- lang: eng
  text: We show that Laplace isospectral deformations within a conformal class of
    generic Liouville metrics on the two-dimensional torus that are linear in the
    deformation parameter are necessarily trivial. Two of the main ingredients in
    our proof are a noncancellation result for the wave trace and an analysis of the
    second order variational formula for the energy functional associated to closed
    geodesics. Noncancellation allows us to detect parts of the length spectrum from
    the Laplace spectrum and conclude rational integrability for the deformed geodesic
    flow (Liouville metrics are folklorically conjectured to be the only Riemannian
    metrics with integrable geodesic flow on the torus). We then use the second variational
    formula to show how the preservation of a single rational torus is sufficient
    to conclude triviality of the deformation, assuming linearity. We also present
    some evidence that our hypothesis of linearity may indeed be necessary.
article_processing_charge: No
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Yunzhe
  full_name: Li, Yunzhe
  id: 41cb05d3-f128-11eb-9611-e4e2b3cfba31
  last_name: Li
- first_name: Amir
  full_name: Vig, Amir
  id: 49d58dd5-45f5-11ec-9f86-8ce1276989b9
  last_name: Vig
citation:
  ama: Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/ARXIV.2511.10398">10.48550/ARXIV.2511.10398</a>
  apa: Henheik, S. J., Kaloshin, V., Li, Y., &#38; Vig, A. (n.d.). Spectral rigidity
    of Liouville tori. <i>arXiv</i>. <a href="https://doi.org/10.48550/ARXIV.2511.10398">https://doi.org/10.48550/ARXIV.2511.10398</a>
  chicago: Henheik, Sven Joscha, Vadim Kaloshin, Yunzhe Li, and Amir Vig. “Spectral
    Rigidity of Liouville Tori.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/ARXIV.2511.10398">https://doi.org/10.48550/ARXIV.2511.10398</a>.
  ieee: S. J. Henheik, V. Kaloshin, Y. Li, and A. Vig, “Spectral rigidity of Liouville
    tori,” <i>arXiv</i>. .
  ista: Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori.
    arXiv, <a href="https://doi.org/10.48550/ARXIV.2511.10398">10.48550/ARXIV.2511.10398</a>.
  mla: Henheik, Sven Joscha, et al. “Spectral Rigidity of Liouville Tori.” <i>ArXiv</i>,
    doi:<a href="https://doi.org/10.48550/ARXIV.2511.10398">10.48550/ARXIV.2511.10398</a>.
  short: S.J. Henheik, V. Kaloshin, Y. Li, A. Vig, ArXiv (n.d.).
corr_author: '1'
date_created: 2026-07-14T12:51:50Z
date_published: 2025-11-13T00:00:00Z
date_updated: 2026-07-20T14:58:23Z
day: '13'
department:
- _id: VaKa
- _id: LaEr
doi: 10.48550/ARXIV.2511.10398
external_id:
  arxiv:
  - '2511.10398'
keyword:
- Differential Geometry (math.DG)
- Mathematical Physics (math-ph)
- Dynamical Systems (math.DS)
- Spectral Theory (math.SP)
- 'FOS: Mathematics'
- 'FOS: Mathematics'
- 'FOS: Physical sciences'
- 'FOS: Physical sciences'
- 58J42
- 37J35
- 37J35
- 35P20
- 58J40
- 58J50
- 37D40
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2511.10398
month: '11'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '22255'
    relation: dissertation_contains
    status: public
status: public
title: Spectral rigidity of Liouville tori
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: '2025'
...
---
OA_place: repository
OA_type: green
_id: '22341'
abstract:
- lang: eng
  text: We construct nontrivial deformations of the standard map which preserve the
    symplectic actions, respectively the Lyapunov exponents, of infinitely many periodic
    orbits accumulating to an invariant curve. The proof uses a resonant normal-form
    construction to obtain a sequence of periodic orbits accumulating on an invariant
    curve with a Liouville rotation number. Within these normal forms we capture the
    dependence of these periodic orbits on the resonant Fourier coefficients of the
    dynamics on the invariant curve and, using the contraction mapping principle,
    obtain a suitable deformation achieving the prescribed spectral data associated
    with this sequence of orbits. The result can be viewed as a symplectic twist-map
    analogue of a length spectral nonrigidity phenomenon for Riemannian manifolds
    and convex billiards, and it motivates the existence problem for similar 'partially
    length-isospectral' deformations of strictly convex billiard tables.
acknowledgement: " The author would like to thank Vadim Kaloshin for initiating this
  project and for his guidance throughout its development. The author also\r\nthanks
  Abed Bounemoura, Bassam Fayad, Mathieu Helfter, Comlan Edmond Koudjinan, Illya Koval,
  Yi Pan, and Daniel Tsodikovich for many helpful discussions. The\r\nfinancial support
  of the ERC grant SPERIG #885707 is gratefully acknowledged."
article_processing_charge: No
arxiv: 1
author:
- first_name: Yunzhe
  full_name: Li, Yunzhe
  id: 41cb05d3-f128-11eb-9611-e4e2b3cfba31
  last_name: Li
citation:
  ama: Li Y. Deformations of the standard map with prescribed actions and Lyapunov
    exponents. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/ARXIV.2512.03865">10.48550/ARXIV.2512.03865</a>
  apa: Li, Y. (n.d.). Deformations of the standard map with prescribed actions and
    Lyapunov exponents. <i>arXiv</i>. <a href="https://doi.org/10.48550/ARXIV.2512.03865">https://doi.org/10.48550/ARXIV.2512.03865</a>
  chicago: Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and
    Lyapunov Exponents.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/ARXIV.2512.03865">https://doi.org/10.48550/ARXIV.2512.03865</a>.
  ieee: Y. Li, “Deformations of the standard map with prescribed actions and Lyapunov
    exponents,” <i>arXiv</i>. .
  ista: Li Y. Deformations of the standard map with prescribed actions and Lyapunov
    exponents. arXiv, <a href="https://doi.org/10.48550/ARXIV.2512.03865">10.48550/ARXIV.2512.03865</a>.
  mla: Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov
    Exponents.” <i>ArXiv</i>, doi:<a href="https://doi.org/10.48550/ARXIV.2512.03865">10.48550/ARXIV.2512.03865</a>.
  short: Y. Li, ArXiv (n.d.).
corr_author: '1'
date_created: 2026-07-14T13:02:29Z
date_published: 2025-12-03T00:00:00Z
date_updated: 2026-07-20T14:58:23Z
day: '03'
department:
- _id: VaKa
doi: 10.48550/ARXIV.2512.03865
ec_funded: 1
external_id:
  arxiv:
  - '2512.03865'
keyword:
- Dynamical Systems (math.DS)
- 'FOS: Mathematics'
- 'FOS: Mathematics'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2512.03865
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 9B8B92DE-BA93-11EA-9121-9846C619BF3A
  call_identifier: H2020
  grant_number: '885707'
  name: Spectral rigidity and integrability for billiards and geodesic flows
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '22255'
    relation: dissertation_contains
    status: public
status: public
title: Deformations of the standard map with prescribed actions and Lyapunov exponents
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20844'
abstract:
- lang: eng
  text: "We introduce and construct a new proof system called Non-interactive Arguments
    of Knowledge or Space (NArKoS), where a space-bounded prover can convince a verifier
    they know a secret, while having access to sufficient space allows one to forge
    indistinguishable proofs without the secret.\r\nAn application of NArKoS are space-deniable
    proofs, which are proofs of knowledge (say for authentication in access control)
    that are sound when executed by a lightweight device like a smart-card or an RFID
    chip that cannot have much storage, but are deniable (in the strong sense of online
    deniability) as the verifier, like a card reader, can efficiently forge such proofs.\r\nWe
    construct NArKoS in the random oracle model using an OR-proof combining a sigma
    protocol (for the proof of knowledge of the secret) with a new proof system called
    simulatable Proof of Transient Space (simPoTS). We give two different constructions
    of simPoTS, one based on labelling graphs with high pebbling complexity, a technique
    used in the construction of memory-hard functions and proofs of space, and a more
    practical construction based on the verifiable space-hard functions from TCC’24
    where a prover must compute a root of a sparse polynomial. In both cases, the
    main challenge is making the proofs efficiently simulatable."
acknowledgement: "Jesko Dujmovic: Funded by the European Union (ERC, LACONIC, 101041207).
  Views and opinions expressed are however those of the author(s) only and do not
  necessarily reflect those of the European Union or the European Research Council.
  Neither the European Union nor the granting authority can be held responsible for
  them.\r\nChristoph U. Günther and Krzysztof Pietrzak: This research was funded in
  whole or in part by the Austrian Science Fund (FWF) 10.55776/F85. For open access
  purposes, the author has applied a CC BY public copyright license to any author-accepted
  manuscript version arising from this submission."
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Jesko
  full_name: Dujmovic, Jesko
  last_name: Dujmovic
- first_name: Christoph Ullrich
  full_name: Günther, Christoph Ullrich
  id: ec98511c-eb8e-11eb-b029-edd25d7271a1
  last_name: Günther
- first_name: Krzysztof Z
  full_name: Pietrzak, Krzysztof Z
  id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87
  last_name: Pietrzak
  orcid: 0000-0002-9139-1654
citation:
  ama: 'Dujmovic J, Günther CU, Pietrzak KZ. Space-deniable proofs. In: <i>23rd International
    Conference on Theory of Cryptography</i>. Vol 16271. Springer Nature; 2025:171-202.
    doi:<a href="https://doi.org/10.1007/978-3-032-12290-2_6">10.1007/978-3-032-12290-2_6</a>'
  apa: 'Dujmovic, J., Günther, C. U., &#38; Pietrzak, K. Z. (2025). Space-deniable
    proofs. In <i>23rd International Conference on Theory of Cryptography</i> (Vol.
    16271, pp. 171–202). Aarhus, Denmark: Springer Nature. <a href="https://doi.org/10.1007/978-3-032-12290-2_6">https://doi.org/10.1007/978-3-032-12290-2_6</a>'
  chicago: Dujmovic, Jesko, Christoph Ullrich Günther, and Krzysztof Z Pietrzak. “Space-Deniable
    Proofs.” In <i>23rd International Conference on Theory of Cryptography</i>, 16271:171–202.
    Springer Nature, 2025. <a href="https://doi.org/10.1007/978-3-032-12290-2_6">https://doi.org/10.1007/978-3-032-12290-2_6</a>.
  ieee: J. Dujmovic, C. U. Günther, and K. Z. Pietrzak, “Space-deniable proofs,” in
    <i>23rd International Conference on Theory of Cryptography</i>, Aarhus, Denmark,
    2025, vol. 16271, pp. 171–202.
  ista: 'Dujmovic J, Günther CU, Pietrzak KZ. 2025. Space-deniable proofs. 23rd International
    Conference on Theory of Cryptography. TCC: Theory of Cryptography, LNCS, vol.
    16271, 171–202.'
  mla: Dujmovic, Jesko, et al. “Space-Deniable Proofs.” <i>23rd International Conference
    on Theory of Cryptography</i>, vol. 16271, Springer Nature, 2025, pp. 171–202,
    doi:<a href="https://doi.org/10.1007/978-3-032-12290-2_6">10.1007/978-3-032-12290-2_6</a>.
  short: J. Dujmovic, C.U. Günther, K.Z. Pietrzak, in:, 23rd International Conference
    on Theory of Cryptography, Springer Nature, 2025, pp. 171–202.
conference:
  end_date: 2025-12-05
  location: Aarhus, Denmark
  name: 'TCC: Theory of Cryptography'
  start_date: 2025-12-01
corr_author: '1'
cryptoeprintid: 1
das_tickbox: '1'
date_created: 2025-12-21T23:01:33Z
date_published: 2025-12-05T00:00:00Z
date_updated: 2026-07-21T09:17:38Z
day: '05'
department:
- _id: KrPi
doi: 10.1007/978-3-032-12290-2_6
external_id:
  cryptoeprintid:
  - 2025/1723
intvolume: '     16271'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://eprint.iacr.org/2025/1723
month: '12'
oa: 1
oa_version: Preprint
page: 171-202
project:
- _id: 34a34d57-11ca-11ed-8bc3-a2688a8724e1
  grant_number: F8509
  name: Security and Privacy by Design for Complex Systems
publication: 23rd International Conference on Theory of Cryptography
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783032122896'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Space-deniable proofs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16271
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: diamond
PlanS_conform: '1'
_id: '20931'
abstract:
- lang: eng
  text: "Context. Asymmetries in the observed rotational splittings of a multiplet
    contain information about the star’s rotation profile and internal magnetic field.
    Moreover, the frequency regularities of multiplets can be used for mode identification.
    However, to exploit this information, highly accurate theoretical predictions
    are needed.\r\n\r\nAims. We aim to quantify the difference in the predicted mode
    asymmetries between a 1D perturbative method and a 2D method that includes a 2D
    stellar structure model, which takes rotation into account. We then place these
    differences between 1D and 2D methods in the context of asteroseismic measurements
    of internal magnetic fields. We only focus on the asymmetries and not on possible
    additional frequency peaks that can arise when the magnetic and rotation axis
    are misaligned.\r\n\r\nMethods. We coupled the 1D pulsation codes GYRE and StORM
    to the 2D stellar structure code ESTER and compared the oscillation predictions
    with the results from the 2D TOP pulsation code. We focused on zero-age main-sequence
    models representative of rotating β Cephei pulsators spinning at up to 20 per
    cent of the critical Keplerian rotation rate. Specifically, we investigated low-radial-order
    gravity and pressure modes.\r\n\r\nResults. We find a generally good agreement
    between the oscillation frequencies resulting from the 1D and 2D pulsation codes.
    We report differences in predicted mode multiplet asymmetries of mostly below
    0.06 d−1. Since the magnetic asymmetries are small compared to the differences
    in the rotational asymmetries resulting from the 1D and 2D predictions, accurate
    measurements of the magnetic field are in most cases challenging.\r\n\r\nConclusions.
    Differences in the predicted mode asymmetries of a rotating star between 1D perturbative
    methods and 2D non-perturbative methods can greatly hinder accurate measurements
    of internal magnetic fields in main-sequence pulsators with low-order modes. Nevertheless,
    reasonably accurate measurements could be possible with npg ≥ 2 modes if the internal
    rotation is roughly below 10 per cent of the Keplerian critical rotation frequency
    for (aligned) magnetic fields of the order of a few hundred kilogauss. While the
    differences between the 1D and 2D frequency predictions are mostly too large for
    internal magnetic field detections, the rotational asymmetries predicted by StORM
    are in general accurate enough for asteroseismic modelling of the stellar rotation
    in main-sequence stars with identified low-order modes."
acknowledgement: 'We thank the anonymous referee for their comments on the manuscript,
  Dario Fritzewski for providing the distribution of fractions of critical rotation
  for the β Cephei sample, and Zhao Guo for the discussions. The research leading
  to these results has received funding from the European Research Council (ERC) under
  the Horizon Europe programme (Synergy Grant agreement N°101071505: 4D-STAR). While
  partially funded by the European Union, views and opinions expressed are however
  those of the authors only and do not necessarily reflect those of the European Union
  or the European Research Council. Neither the European Union nor the granting authority
  can be held responsible for them. V.V. acknowledges support from the Research Foundation
  Flanders (FWO) under grant agreement N°1156923N (PhD Fellowship). S.B.D. acknowledges
  funding from the European Union’s Horizon 2020 research and innovation programme
  under the Marie Skłodowska-Curie grant agreement N°101034413. L.B. gratefully acknowledges
  support from the European Research Council (ERC) under the Horizon Europe programme
  (Calcifer; Starting Grant agreement N°101165631). J.B., M.R., S.M. and J.S.G.M have
  been supported by CNES, focused on the preparation of the PLATO mission. Computations
  with ESTER and TOP have made use of the HPC resources from the CALMIP supercomputing
  centre (Grant 2023-P0107). This research made use of the numpy (Harris et al. 2020)
  and matplotlib (Hunter 2007) Python software packages.'
article_number: A336
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: J. S.G.
  full_name: Mombarg, J. S.G.
  last_name: Mombarg
- first_name: V.
  full_name: Vanlaer, V.
  last_name: Vanlaer
- first_name: Srijan B
  full_name: Das, Srijan B
  id: 9ce7c423-dacf-11ed-8942-e09c6cb27149
  last_name: Das
  orcid: 0000-0003-0896-7972
- first_name: M.
  full_name: Rieutord, M.
  last_name: Rieutord
- first_name: C.
  full_name: Aerts, C.
  last_name: Aerts
- first_name: Lisa Annabelle
  full_name: Bugnet, Lisa Annabelle
  id: d9edb345-f866-11ec-9b37-d119b5234501
  last_name: Bugnet
  orcid: 0000-0003-0142-4000
- first_name: S.
  full_name: Mathis, S.
  last_name: Mathis
- first_name: D. R.
  full_name: Reese, D. R.
  last_name: Reese
- first_name: J.
  full_name: Ballot, J.
  last_name: Ballot
citation:
  ama: Mombarg JSG, Vanlaer V, Das SB, et al. Is a 1D perturbative method sufficient
    for asteroseismic modelling of β Cephei pulsators? Implications for measurements
    of rotation and internal magnetic fields. <i>Astronomy &#38; Astrophysics</i>.
    2025;704. doi:<a href="https://doi.org/10.1051/0004-6361/202557247">10.1051/0004-6361/202557247</a>
  apa: Mombarg, J. S. G., Vanlaer, V., Das, S. B., Rieutord, M., Aerts, C., Bugnet,
    L. A., … Ballot, J. (2025). Is a 1D perturbative method sufficient for asteroseismic
    modelling of β Cephei pulsators? Implications for measurements of rotation and
    internal magnetic fields. <i>Astronomy &#38; Astrophysics</i>. EDP Sciences. <a
    href="https://doi.org/10.1051/0004-6361/202557247">https://doi.org/10.1051/0004-6361/202557247</a>
  chicago: Mombarg, J. S.G., V. Vanlaer, Srijan B Das, M. Rieutord, C. Aerts, Lisa
    Annabelle Bugnet, S. Mathis, D. R. Reese, and J. Ballot. “Is a 1D Perturbative
    Method Sufficient for Asteroseismic Modelling of β Cephei Pulsators? Implications
    for Measurements of Rotation and Internal Magnetic Fields.” <i>Astronomy &#38;
    Astrophysics</i>. EDP Sciences, 2025. <a href="https://doi.org/10.1051/0004-6361/202557247">https://doi.org/10.1051/0004-6361/202557247</a>.
  ieee: J. S. G. Mombarg <i>et al.</i>, “Is a 1D perturbative method sufficient for
    asteroseismic modelling of β Cephei pulsators? Implications for measurements of
    rotation and internal magnetic fields,” <i>Astronomy &#38; Astrophysics</i>, vol.
    704. EDP Sciences, 2025.
  ista: Mombarg JSG, Vanlaer V, Das SB, Rieutord M, Aerts C, Bugnet LA, Mathis S,
    Reese DR, Ballot J. 2025. Is a 1D perturbative method sufficient for asteroseismic
    modelling of β Cephei pulsators? Implications for measurements of rotation and
    internal magnetic fields. Astronomy &#38; Astrophysics. 704, A336.
  mla: Mombarg, J. S. G., et al. “Is a 1D Perturbative Method Sufficient for Asteroseismic
    Modelling of β Cephei Pulsators? Implications for Measurements of Rotation and
    Internal Magnetic Fields.” <i>Astronomy &#38; Astrophysics</i>, vol. 704, A336,
    EDP Sciences, 2025, doi:<a href="https://doi.org/10.1051/0004-6361/202557247">10.1051/0004-6361/202557247</a>.
  short: J.S.G. Mombarg, V. Vanlaer, S.B. Das, M. Rieutord, C. Aerts, L.A. Bugnet,
    S. Mathis, D.R. Reese, J. Ballot, Astronomy &#38; Astrophysics 704 (2025).
date_created: 2026-01-04T23:01:35Z
date_published: 2025-12-19T00:00:00Z
date_updated: 2026-07-22T06:20:53Z
day: '19'
ddc:
- '520'
department:
- _id: LiBu
doi: 10.1051/0004-6361/202557247
ec_funded: 1
external_id:
  arxiv:
  - '2511.09617'
file:
- access_level: open_access
  checksum: d838b4783920c43b7cc866e9cf08b383
  content_type: application/pdf
  creator: dernst
  date_created: 2026-01-05T08:36:28Z
  date_updated: 2026-01-05T08:36:28Z
  file_id: '20937'
  file_name: 2025_AstronomyAstrophysics_Mombarg.pdf
  file_size: 2620909
  relation: main_file
  success: 1
file_date_updated: 2026-01-05T08:36:28Z
has_accepted_license: '1'
intvolume: '       704'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
- _id: 914d8549-16d5-11f0-9cad-bbe6324c93a9
  grant_number: '101165631'
  name: 'Unveiling the mysteries of stellar dynamics: a pioneering journey in magnetoasteroseismology'
publication: Astronomy & Astrophysics
publication_identifier:
  eissn:
  - 1432-0746
  issn:
  - 0004-6361
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
related_material:
  record:
  - id: '20936'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei
  pulsators? Implications for measurements of rotation and internal magnetic fields
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: 704
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '20101'
abstract:
- lang: eng
  text: 'Evading imminent threat from predators is critical for animal survival. Effective
    defensive strategies can vary, even between closely related species. However,
    the neural basis of such species-specific behaviours remains poorly understood1,2,3,4.
    Here we find that two sister species of deer mice (genus Peromyscus)5 show different
    responses to the same looming stimulus: Peromyscus maniculatus, which occupies
    densely vegetated habitats, predominantly escapes, whereas the open field specialist,
    Peromyscus polionotus, briefly freezes. This difference arises from species-specific
    escape thresholds, is largely context-independent, and can be triggered by both
    visual and auditory threat stimuli. Using immunohistochemistry and electrophysiological
    recordings, we find that although visual threat activates the superior colliculus
    in both species, the role of the dorsal periaqueductal grey (dPAG) in driving
    behaviour differs. Whereas dPAG activity scales with running speed in P. maniculatus,
    neural activity in the dPAG of P. polionotus correlates poorly with movement,
    including during visually triggered escape. Moreover, optogenetic activation of
    dPAG neurons elicits acceleration in P. maniculatus but not in P. polionotus,
    and their chemogenetic inhibition during a looming stimulus delays escape onset
    in P. maniculatus to match that of P. polionotus. Together, we trace species-specific
    escape thresholds to a central circuit node, downstream of peripheral sensory
    neurons, localizing an ecologically relevant behavioural difference to a specific
    region of the mammalian brain.'
acknowledgement: The authors thank M. Yilmaz, M. Meister, M. Joesch and T. Branco
  for advice on the behavioural experiments; C. Dulac, V. Bitsikas, E. Diel and J.
  Chen for advice on the immunohistochemistry and RNAscope experiments; J. Greenwood
  and E. Soucy for technical and engineering help; A. Chrzanowska for help and advice
  on optogenetic experiments; A. Calzoni for help aligning histological sections to
  a brain atlas; S. Worthington for statistical advice; P. Gonçalves for advice with
  the electrophysiology analysis; I. Vlaemick for help with whole cell experiments;
  R. Hellmiss for figure design; B. Sabatini, V. Stempel, K. Tyssowski and N. Sanguinetti
  for feedback on the manuscript; and Y. M. Lee and A. Tomcho for photos of P. maniculatus
  and P. leucopus habitats (Fig. 1). F.B. was supported by an HHMI International Student
  Research Fellowship, a Grant-in-Aid of the American Society of Mammalogy, a Herchel
  Smith Graduate Fellowship, a Robert A. Chapman Memorial Scholarship, and a Joan
  Brockman Williamson Fellowship. This project received funding from the European
  Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
  grant agreement 665501 and by the FWO (12S7917N and 12S7920N) to K.R. and from European
  Research Council (ERC) (grant agreement 101075848) to K.R. V.T. was supported by
  a Harvard PRISE fellowship and a Harvard Museum of Comparative Zoology grant for
  undergraduate research. K.F. is supported by the FWO (G094616N and G091719N) and
  the NIH (1R01EY032101). This work was supported by the Howard Hughes Medical Institute,
  of which H.E.H. was an Investigator.
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Felix
  full_name: Baier, Felix
  last_name: Baier
- first_name: Katja
  full_name: Reinhard, Katja
  last_name: Reinhard
- first_name: Bram
  full_name: Nuttin, Bram
  last_name: Nuttin
- first_name: Arnau
  full_name: Sans-Dublanc, Arnau
  last_name: Sans-Dublanc
- first_name: Chen
  full_name: Liu, Chen
  last_name: Liu
- first_name: Victoria
  full_name: Tong, Victoria
  last_name: Tong
- first_name: Julie Stefanie
  full_name: Murmann, Julie Stefanie
  id: 1d390868-f128-11eb-9611-a0ca5f7833b5
  last_name: Murmann
- first_name: Keimpe
  full_name: Wierda, Keimpe
  last_name: Wierda
- first_name: Karl
  full_name: Farrow, Karl
  last_name: Farrow
- first_name: Hopi E.
  full_name: Hoekstra, Hopi E.
  last_name: Hoekstra
citation:
  ama: Baier F, Reinhard K, Nuttin B, et al. The neural basis of species-specific
    defensive behaviour in Peromyscus mice. <i>Nature</i>. 2025;645:439-447. doi:<a
    href="https://doi.org/10.1038/s41586-025-09241-2">10.1038/s41586-025-09241-2</a>
  apa: Baier, F., Reinhard, K., Nuttin, B., Sans-Dublanc, A., Liu, C., Tong, V., …
    Hoekstra, H. E. (2025). The neural basis of species-specific defensive behaviour
    in Peromyscus mice. <i>Nature</i>. Springer Nature. <a href="https://doi.org/10.1038/s41586-025-09241-2">https://doi.org/10.1038/s41586-025-09241-2</a>
  chicago: Baier, Felix, Katja Reinhard, Bram Nuttin, Arnau Sans-Dublanc, Chen Liu,
    Victoria Tong, Julie Stefanie Murmann, Keimpe Wierda, Karl Farrow, and Hopi E.
    Hoekstra. “The Neural Basis of Species-Specific Defensive Behaviour in Peromyscus
    Mice.” <i>Nature</i>. Springer Nature, 2025. <a href="https://doi.org/10.1038/s41586-025-09241-2">https://doi.org/10.1038/s41586-025-09241-2</a>.
  ieee: F. Baier <i>et al.</i>, “The neural basis of species-specific defensive behaviour
    in Peromyscus mice,” <i>Nature</i>, vol. 645. Springer Nature, pp. 439–447, 2025.
  ista: Baier F, Reinhard K, Nuttin B, Sans-Dublanc A, Liu C, Tong V, Murmann JS,
    Wierda K, Farrow K, Hoekstra HE. 2025. The neural basis of species-specific defensive
    behaviour in Peromyscus mice. Nature. 645, 439–447.
  mla: Baier, Felix, et al. “The Neural Basis of Species-Specific Defensive Behaviour
    in Peromyscus Mice.” <i>Nature</i>, vol. 645, Springer Nature, 2025, pp. 439–47,
    doi:<a href="https://doi.org/10.1038/s41586-025-09241-2">10.1038/s41586-025-09241-2</a>.
  short: F. Baier, K. Reinhard, B. Nuttin, A. Sans-Dublanc, C. Liu, V. Tong, J.S.
    Murmann, K. Wierda, K. Farrow, H.E. Hoekstra, Nature 645 (2025) 439–447.
date_created: 2025-08-03T22:01:31Z
date_published: 2025-07-23T00:00:00Z
date_updated: 2026-07-22T06:20:09Z
day: '23'
ddc:
- '570'
department:
- _id: GradSch
doi: 10.1038/s41586-025-09241-2
external_id:
  pmid:
  - '40702175'
file:
- access_level: open_access
  checksum: 7ea846a7a49b3b2a248f6a27ab13d591
  content_type: application/pdf
  creator: dernst
  date_created: 2025-12-30T07:39:45Z
  date_updated: 2025-12-30T07:39:45Z
  file_id: '20884'
  file_name: 2025_Nature_Baier.pdf
  file_size: 53301589
  relation: main_file
  success: 1
file_date_updated: 2025-12-30T07:39:45Z
has_accepted_license: '1'
intvolume: '       645'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 439-447
pmid: 1
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '20883'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: The neural basis of species-specific defensive behaviour in Peromyscus mice
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 645
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20927'
abstract:
- lang: eng
  text: Cavity-magnon polaritons are hybrid excitations from the interaction between
    cavity photons and magnons, the quanta of collective spin oscillations. Along
    with the tunability of the magnon-photon coupling strength, fast information transfer
    and conversion speed are desired in hybrid devices. This can be achieved utilizing
    the propagating nature of spin waves with nonzero momentum for their ultrafast
    time dynamics and reduced ohmic dissipation. Antiferromagnets are particularly
    interesting as hosts for magnons since stray-field interactions are minimized
    and they support multiple modes with distinctive magnetic-field behavior across
    the phase diagram. Chromium trichloride (CrCl3) is a van der Waals layered antiferromagnet
    having a strong easy-plane anisotropy and a weak in-plane easy-axis anisotropy.
    Despite some magnetic resonance studies, the impact of magnetic reorientation
    of spins in CrCl3 on the cavity-magnon-polariton interaction strength as a function
    of magnetic field remains largely unexplored. In this study, we investigate the
    coupling between magnons in CrCl3 and photons in a coplanar waveguide resonator
    as a function of magnetic field. In particular, we find that the magnon-photon
    coupling strength varies nonmonotonically and distinctly with the magnetic field
    for the acoustic and the optical magnons, which can be utilized to tune the magnon-photon
    coupling strength using an external magnetic field as a knob. We find the signature
    of spin-flop transition in the two harmonics of the cavity due to a stronger dispersive
    coupling between optical magnons and cavity photons at lower fields. Additionally,
    we find standing modes formed by spin waves with nonzero momentum associated with
    the two hybrid magnons when the external field is applied at an angle with the
    crystal plane. These modes do not undergo substantial coupling with the cavity
    mode unlike the antiferromagnetic modes and can be used as low-loss propagation
    channels in hybrid devices.
acknowledgement: We thank R. Vijayaraghavan, V. Singh, A. Kamra, A. Barman, M. Patankar,
  S. Kundu, S. Hazra, S. Sahu, A. Riswadkar, A. Bhattacharjee, and S. Das for helpful
  discussions and experimental assistance. We acknowledge the Swarnajayanti Fellowship
  of the Department of Science and Technology (for M.M.D.), DST Nanomission Grant
  No. SR/NM/NS-45/2016, SERB SUPRA Grant No. SPR/2019/001247, ONRG Grant No. N62909–18-1–2058,
  and the Department of Atomic Energy of the Government of India Grant No. 12-R&D-TFR5.10–0100
  for support.
article_number: '214443'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Supriya
  full_name: Mandal, Supriya
  last_name: Mandal
- first_name: Krishnendu
  full_name: Maji, Krishnendu
  id: 76bc9e9f-ba0b-11ee-8184-90edabd17a58
  last_name: Maji
- first_name: Lucky
  full_name: Kapoor, Lucky
  id: 84b9700b-15b2-11ec-abd3-831089e67615
  last_name: Kapoor
  orcid: 0000-0001-8319-2148
- first_name: Souvik
  full_name: Sasmal, Souvik
  last_name: Sasmal
- first_name: Soham
  full_name: Manni, Soham
  last_name: Manni
- first_name: John
  full_name: Jesudasan, John
  last_name: Jesudasan
- first_name: Pratap
  full_name: Raychaudhuri, Pratap
  last_name: Raychaudhuri
- first_name: Arumugam
  full_name: Thamizhavel, Arumugam
  last_name: Thamizhavel
- first_name: Mandar M.
  full_name: Deshmukh, Mandar M.
  last_name: Deshmukh
citation:
  ama: Mandal S, Maji K, Kapoor L, et al. Cavity based sensing of antiferromagnetic
    canting and nonzero-momentum spin waves in a van der Waals cavity-magnon-polariton
    system. <i>Physical Review B</i>. 2025;112(21). doi:<a href="https://doi.org/10.1103/bdd1-b8ys">10.1103/bdd1-b8ys</a>
  apa: Mandal, S., Maji, K., Kapoor, L., Sasmal, S., Manni, S., Jesudasan, J., … Deshmukh,
    M. M. (2025). Cavity based sensing of antiferromagnetic canting and nonzero-momentum
    spin waves in a van der Waals cavity-magnon-polariton system. <i>Physical Review
    B</i>. American Physical Society. <a href="https://doi.org/10.1103/bdd1-b8ys">https://doi.org/10.1103/bdd1-b8ys</a>
  chicago: Mandal, Supriya, Krishnendu Maji, Lucky Kapoor, Souvik Sasmal, Soham Manni,
    John Jesudasan, Pratap Raychaudhuri, Arumugam Thamizhavel, and Mandar M. Deshmukh.
    “Cavity Based Sensing of Antiferromagnetic Canting and Nonzero-Momentum Spin Waves
    in a van Der Waals Cavity-Magnon-Polariton System.” <i>Physical Review B</i>.
    American Physical Society, 2025. <a href="https://doi.org/10.1103/bdd1-b8ys">https://doi.org/10.1103/bdd1-b8ys</a>.
  ieee: S. Mandal <i>et al.</i>, “Cavity based sensing of antiferromagnetic canting
    and nonzero-momentum spin waves in a van der Waals cavity-magnon-polariton system,”
    <i>Physical Review B</i>, vol. 112, no. 21. American Physical Society, 2025.
  ista: Mandal S, Maji K, Kapoor L, Sasmal S, Manni S, Jesudasan J, Raychaudhuri P,
    Thamizhavel A, Deshmukh MM. 2025. Cavity based sensing of antiferromagnetic canting
    and nonzero-momentum spin waves in a van der Waals cavity-magnon-polariton system.
    Physical Review B. 112(21), 214443.
  mla: Mandal, Supriya, et al. “Cavity Based Sensing of Antiferromagnetic Canting
    and Nonzero-Momentum Spin Waves in a van Der Waals Cavity-Magnon-Polariton System.”
    <i>Physical Review B</i>, vol. 112, no. 21, 214443, American Physical Society,
    2025, doi:<a href="https://doi.org/10.1103/bdd1-b8ys">10.1103/bdd1-b8ys</a>.
  short: S. Mandal, K. Maji, L. Kapoor, S. Sasmal, S. Manni, J. Jesudasan, P. Raychaudhuri,
    A. Thamizhavel, M.M. Deshmukh, Physical Review B 112 (2025).
date_created: 2026-01-04T23:01:34Z
date_published: 2025-12-19T00:00:00Z
date_updated: 2026-07-22T06:21:32Z
day: '19'
department:
- _id: MaIb
- _id: JoFi
doi: 10.1103/bdd1-b8ys
external_id:
  arxiv:
  - '2512.05236'
intvolume: '       112'
issue: '21'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2512.05236
month: '12'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
  eissn:
  - 2469-9969
  issn:
  - 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  record:
  - id: '20940'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Cavity based sensing of antiferromagnetic canting and nonzero-momentum spin
  waves in a van der Waals cavity-magnon-polariton system
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2025'
...
---
OA_place: repository
OA_type: hybrid
_id: '20883'
abstract:
- lang: eng
  text: 'Evading imminent predator threat is critical for survival. Effective defensive
    strategies can vary, even between closely related species. However, the neural
    basis of such species-specific behaviours is still poorly understood. Here we
    find that two sister species of deer mice (genus Peromyscus) show different responses
    to the same looming stimulus: P. maniculatus, which occupies densely vegetated
    habitats, predominantly escapes, while the open field specialist, P. polionotus,
    briefly freezes. This difference arises from species-specific escape thresholds,
    is largely context-independent, and can be triggered by both visual and auditory
    threat stimuli. Using immunohistochemistry and electrophysiological recordings,
    we find that although visual threat activates the superior colliculus in both
    species, the role of the dorsal periaqueductal gray (dPAG) in driving behaviour
    differs. While dPAG activity scales with running speed in P. maniculatus, neural
    activity in the dPAG of P. polionotus correlates poorly with movement, including
    during visually triggered escape. Moreover, optogenetic activation of dPAG neurons
    elicits acceleration in P. maniculatus but not P. polionotus, while their chemogenetic
    inhibition during a looming stimulus delays escape onset in P. maniculatus to
    match that of P. polionotus. Together, we trace species-specific escape thresholds
    to a central circuit node, downstream of peripheral sensory neurons, localizing
    an ecologically relevant behavioural difference to a specific region of the mammalian
    brain.'
article_processing_charge: No
author:
- first_name: Baier
  full_name: Felix, Baier
  last_name: Felix
- first_name: Katja
  full_name: Reinhard, Katja
  last_name: Reinhard
- first_name: Bram
  full_name: Nuttin, Bram
  last_name: Nuttin
- first_name: Arnau
  full_name: Sans Dublanc, Arnau
  last_name: Sans Dublanc
- first_name: Chen
  full_name: Liu, Chen
  last_name: Liu
- first_name: Victoria
  full_name: Tong, Victoria
  last_name: Tong
- first_name: Julie Stefanie
  full_name: Murmann, Julie Stefanie
  id: 1d390868-f128-11eb-9611-a0ca5f7833b5
  last_name: Murmann
- first_name: Keimpe
  full_name: Wierda, Keimpe
  last_name: Wierda
- first_name: Karl
  full_name: Farrow, Karl
  last_name: Farrow
- first_name: Hopi
  full_name: Hoekstra, Hopi
  last_name: Hoekstra
citation:
  ama: Felix B, Reinhard K, Nuttin B, et al. The neural basis of species-specific
    defensive behaviour in Peromyscus mice. 2025. doi:<a href="https://doi.org/10.5061/DRYAD.Q2BVQ83XC">10.5061/DRYAD.Q2BVQ83XC</a>
  apa: Felix, B., Reinhard, K., Nuttin, B., Sans Dublanc, A., Liu, C., Tong, V., …
    Hoekstra, H. (2025). The neural basis of species-specific defensive behaviour
    in Peromyscus mice. Dryad. <a href="https://doi.org/10.5061/DRYAD.Q2BVQ83XC">https://doi.org/10.5061/DRYAD.Q2BVQ83XC</a>
  chicago: Felix, Baier, Katja Reinhard, Bram Nuttin, Arnau Sans Dublanc, Chen Liu,
    Victoria Tong, Julie Stefanie Murmann, Keimpe Wierda, Karl Farrow, and Hopi Hoekstra.
    “The Neural Basis of Species-Specific Defensive Behaviour in Peromyscus Mice.”
    Dryad, 2025. <a href="https://doi.org/10.5061/DRYAD.Q2BVQ83XC">https://doi.org/10.5061/DRYAD.Q2BVQ83XC</a>.
  ieee: B. Felix <i>et al.</i>, “The neural basis of species-specific defensive behaviour
    in Peromyscus mice.” Dryad, 2025.
  ista: Felix B, Reinhard K, Nuttin B, Sans Dublanc A, Liu C, Tong V, Murmann JS,
    Wierda K, Farrow K, Hoekstra H. 2025. The neural basis of species-specific defensive
    behaviour in Peromyscus mice, Dryad, <a href="https://doi.org/10.5061/DRYAD.Q2BVQ83XC">10.5061/DRYAD.Q2BVQ83XC</a>.
  mla: Felix, Baier, et al. <i>The Neural Basis of Species-Specific Defensive Behaviour
    in Peromyscus Mice</i>. Dryad, 2025, doi:<a href="https://doi.org/10.5061/DRYAD.Q2BVQ83XC">10.5061/DRYAD.Q2BVQ83XC</a>.
  short: B. Felix, K. Reinhard, B. Nuttin, A. Sans Dublanc, C. Liu, V. Tong, J.S.
    Murmann, K. Wierda, K. Farrow, H. Hoekstra, (2025).
date_created: 2025-12-30T07:36:29Z
date_published: 2025-06-23T00:00:00Z
date_updated: 2026-07-22T06:20:09Z
day: '23'
department:
- _id: GradSch
doi: 10.5061/DRYAD.Q2BVQ83XC
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5061/dryad.q2bvq83xc
month: '06'
oa: 1
oa_version: Published Version
publisher: Dryad
related_material:
  record:
  - id: '20101'
    relation: used_in_publication
    status: public
status: public
title: The neural basis of species-specific defensive behaviour in Peromyscus mice
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: gold
_id: '20936'
abstract:
- lang: eng
  text: "Supplementary material for Mombarg et al. (2025, A&A). Title: \"Is a 1D perturbative
    method sufficient for asteroseismic modelling of \r\n~Cephei pulsators? Implications
    for measurements of rotation and internal magnetic fields\"\r\n\r\nContent:\r\n-
    Non-rotating ESTER models and associated .GSM models. (Xini = 0.71, Zini = 0.014,
    vertical/horizonal viscosity 10^7 cm^2/s, vertical chemical diffusion 10^4 cm^2/s
    for evolution model. More details on the ESTER models can be found in the ESTER
    manual.\r\n\r\n- Rotational asymmetries computed with StORM and TOP in 1/d, and
    the central m=0 frequency from TOP in 1/d. (all_A*_new.pkl)\r\n\r\n- Magnetic
    asymmetries in 1/d for different obliquity angles between 0 and 90 deg for ZAMS
    and MAMS model, for B_0 = 75 kG. *_nu key gives unperturbed mode frequencies,
    *_npg the radial order (asym_dict.pkl, asym_dict_evol.pkl)"
article_processing_charge: No
author:
- first_name: Joey
  full_name: Mombarg, Joey
  last_name: Mombarg
- first_name: Vincent
  full_name: Vanlaer, Vincent
  last_name: Vanlaer
- first_name: Srijan B
  full_name: Das, Srijan B
  id: 9ce7c423-dacf-11ed-8942-e09c6cb27149
  last_name: Das
  orcid: 0000-0003-0896-7972
- first_name: Michel
  full_name: Rieutord, Michel
  last_name: Rieutord
- first_name: Conny
  full_name: Aerts, Conny
  last_name: Aerts
- first_name: Lisa Annabelle
  full_name: Bugnet, Lisa Annabelle
  id: d9edb345-f866-11ec-9b37-d119b5234501
  last_name: Bugnet
  orcid: 0000-0003-0142-4000
- first_name: Stephane
  full_name: Mathis, Stephane
  last_name: Mathis
- first_name: Daniel
  full_name: Reese, Daniel
  last_name: Reese
- first_name: Jerome
  full_name: Ballot, Jerome
  last_name: Ballot
citation:
  ama: Mombarg J, Vanlaer V, Das SB, et al. Is a 1D perturbative method sufficient
    for asteroseismic modelling of β Cephei pulsators? 2025. doi:<a href="https://doi.org/10.5281/ZENODO.17580178">10.5281/ZENODO.17580178</a>
  apa: Mombarg, J., Vanlaer, V., Das, S. B., Rieutord, M., Aerts, C., Bugnet, L. A.,
    … Ballot, J. (2025). Is a 1D perturbative method sufficient for asteroseismic
    modelling of β Cephei pulsators? Zenodo. <a href="https://doi.org/10.5281/ZENODO.17580178">https://doi.org/10.5281/ZENODO.17580178</a>
  chicago: Mombarg, Joey, Vincent Vanlaer, Srijan B Das, Michel Rieutord, Conny Aerts,
    Lisa Annabelle Bugnet, Stephane Mathis, Daniel Reese, and Jerome Ballot. “Is a
    1D Perturbative Method Sufficient for Asteroseismic Modelling of β Cephei Pulsators?”
    Zenodo, 2025. <a href="https://doi.org/10.5281/ZENODO.17580178">https://doi.org/10.5281/ZENODO.17580178</a>.
  ieee: J. Mombarg <i>et al.</i>, “Is a 1D perturbative method sufficient for asteroseismic
    modelling of β Cephei pulsators?” Zenodo, 2025.
  ista: Mombarg J, Vanlaer V, Das SB, Rieutord M, Aerts C, Bugnet LA, Mathis S, Reese
    D, Ballot J. 2025. Is a 1D perturbative method sufficient for asteroseismic modelling
    of β Cephei pulsators?, Zenodo, <a href="https://doi.org/10.5281/ZENODO.17580178">10.5281/ZENODO.17580178</a>.
  mla: Mombarg, Joey, et al. <i>Is a 1D Perturbative Method Sufficient for Asteroseismic
    Modelling of β Cephei Pulsators?</i> Zenodo, 2025, doi:<a href="https://doi.org/10.5281/ZENODO.17580178">10.5281/ZENODO.17580178</a>.
  short: J. Mombarg, V. Vanlaer, S.B. Das, M. Rieutord, C. Aerts, L.A. Bugnet, S.
    Mathis, D. Reese, J. Ballot, (2025).
date_created: 2026-01-05T08:39:33Z
date_published: 2025-11-11T00:00:00Z
date_updated: 2026-07-22T06:20:53Z
day: '11'
ddc:
- '520'
department:
- _id: LiBu
doi: 10.5281/ZENODO.17580178
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5281/zenodo.17580178
month: '11'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
  record:
  - id: '20931'
    relation: used_in_publication
    status: public
status: public
title: Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei
  pulsators?
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: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21016'
abstract:
- lang: eng
  text: Motivated by applications in chemistry, we give a homlogical definition of
    tunnels, or more generally cobordisms, connecting disjoint parts of a cell complex.
    For a filtered complex, this defines a persistence module. We give a method for
    identifying birth and death times using kernel persistence and a matrix reduction
    algorithm for pairing birth and death times.
acknowledgement: "Y. B. B. and L. F. were funded by the Independent Research Fund
  Denmark, grant\r\nnumber 1026-00037. T. H. was partially supported by the European
  Research Council\r\n(ERC) Horizon 2020, grant number 788183."
article_number: '2505.17858'
article_processing_charge: No
arxiv: 1
author:
- first_name: Yossi
  full_name: Bleile, Yossi
  id: 920a7385-7995-11ef-9bfd-8c434cd8f3c2
  last_name: Bleile
  orcid: 0000-0002-4861-9174
- first_name: Lisbeth
  full_name: Fajstrup, Lisbeth
  last_name: Fajstrup
- first_name: Teresa
  full_name: Heiss, Teresa
  id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
  last_name: Heiss
  orcid: 0000-0002-1780-2689
- first_name: Anne Marie
  full_name: Svane, Anne Marie
  last_name: Svane
- first_name: Søren Strandskov
  full_name: Sørensen, Søren Strandskov
  last_name: Sørensen
citation:
  ama: Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms
    using kernel persistence. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2505.17858">10.48550/arXiv.2505.17858</a>
  apa: Bokor Bleile, Y., Fajstrup, L., Heiss, T., Svane, A. M., &#38; Sørensen, S.
    S. (n.d.). Identifying cobordisms using kernel persistence. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2505.17858">https://doi.org/10.48550/arXiv.2505.17858</a>
  chicago: Bokor Bleile, Yossi, Lisbeth Fajstrup, Teresa Heiss, Anne Marie Svane,
    and Søren Strandskov Sørensen. “Identifying Cobordisms Using Kernel Persistence.”
    <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2505.17858">https://doi.org/10.48550/arXiv.2505.17858</a>.
  ieee: Y. Bokor Bleile, L. Fajstrup, T. Heiss, A. M. Svane, and S. S. Sørensen, “Identifying
    cobordisms using kernel persistence,” <i>arXiv</i>. .
  ista: Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms
    using kernel persistence. arXiv, 2505.17858.
  mla: Bokor Bleile, Yossi, et al. “Identifying Cobordisms Using Kernel Persistence.”
    <i>ArXiv</i>, 2505.17858, doi:<a href="https://doi.org/10.48550/arXiv.2505.17858">10.48550/arXiv.2505.17858</a>.
  short: Y. Bokor Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv
    (n.d.).
das_tickbox: '1'
date_created: 2026-01-20T10:12:21Z
date_published: 2025-05-23T00:00:00Z
date_updated: 2026-07-22T06:33:07Z
day: '23'
department:
- _id: HeEd
doi: 10.48550/arXiv.2505.17858
ec_funded: 1
external_id:
  arxiv:
  - '2505.17858'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2505.17858
month: '05'
oa: 1
oa_version: Preprint
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
publication: arXiv
publication_status: submitted
status: public
title: Identifying cobordisms using kernel persistence
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20940'
abstract:
- lang: eng
  text: These are the raw data files that supplement our study of mode dispersion
    with magnetic field of a cavity-magnonics system containing chromium trichloride
    on coplanar waveguide resonator.
article_processing_charge: No
author:
- first_name: Supriya
  full_name: Mandal, Supriya
  last_name: Mandal
- first_name: Krishnendu
  full_name: Maji, Krishnendu
  id: 76bc9e9f-ba0b-11ee-8184-90edabd17a58
  last_name: Maji
- first_name: Lucky
  full_name: Kapoor, Lucky
  id: 84b9700b-15b2-11ec-abd3-831089e67615
  last_name: Kapoor
  orcid: 0000-0001-8319-2148
- first_name: Souvik
  full_name: Sasmal, Souvik
  last_name: Sasmal
- first_name: Soham
  full_name: Manni, Soham
  last_name: Manni
- first_name: John
  full_name: Jesudasan, John
  last_name: Jesudasan
- first_name: Pratap
  full_name: Raychaudhuri, Pratap
  last_name: Raychaudhuri
- first_name: Arumugam
  full_name: Thamizhavel, Arumugam
  last_name: Thamizhavel
- first_name: Mandar M.
  full_name: Deshmukh, Mandar M.
  last_name: Deshmukh
citation:
  ama: Mandal S, Maji K, Kapoor L, et al. Mode dispersion with magnetic field in a
    cavity-magnonics system. 2025. doi:<a href="https://doi.org/10.5281/ZENODO.15321721">10.5281/ZENODO.15321721</a>
  apa: Mandal, S., Maji, K., Kapoor, L., Sasmal, S., Manni, S., Jesudasan, J., … Deshmukh,
    M. M. (2025). Mode dispersion with magnetic field in a cavity-magnonics system.
    Zenodo. <a href="https://doi.org/10.5281/ZENODO.15321721">https://doi.org/10.5281/ZENODO.15321721</a>
  chicago: Mandal, Supriya, Krishnendu Maji, Lucky Kapoor, Souvik Sasmal, Soham Manni,
    John Jesudasan, Pratap Raychaudhuri, Arumugam Thamizhavel, and Mandar M. Deshmukh.
    “Mode Dispersion with Magnetic Field in a Cavity-Magnonics System.” Zenodo, 2025.
    <a href="https://doi.org/10.5281/ZENODO.15321721">https://doi.org/10.5281/ZENODO.15321721</a>.
  ieee: S. Mandal <i>et al.</i>, “Mode dispersion with magnetic field in a cavity-magnonics
    system.” Zenodo, 2025.
  ista: Mandal S, Maji K, Kapoor L, Sasmal S, Manni S, Jesudasan J, Raychaudhuri P,
    Thamizhavel A, Deshmukh MM. 2025. Mode dispersion with magnetic field in a cavity-magnonics
    system, Zenodo, <a href="https://doi.org/10.5281/ZENODO.15321721">10.5281/ZENODO.15321721</a>.
  mla: Mandal, Supriya, et al. <i>Mode Dispersion with Magnetic Field in a Cavity-Magnonics
    System</i>. Zenodo, 2025, doi:<a href="https://doi.org/10.5281/ZENODO.15321721">10.5281/ZENODO.15321721</a>.
  short: S. Mandal, K. Maji, L. Kapoor, S. Sasmal, S. Manni, J. Jesudasan, P. Raychaudhuri,
    A. Thamizhavel, M.M. Deshmukh, (2025).
date_created: 2026-01-05T10:00:06Z
date_published: 2025-05-02T00:00:00Z
date_updated: 2026-07-22T06:21:33Z
day: '02'
department:
- _id: MaIb
- _id: JoFi
doi: 10.5281/ZENODO.15321721
has_accepted_license: '1'
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5281/ZENODO.15321721
month: '05'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
  record:
  - id: '20927'
    relation: used_in_publication
    status: public
status: public
title: Mode dispersion with magnetic field in a cavity-magnonics system
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: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21399'
abstract:
- lang: eng
  text: We report on the Equational Theories Project (ETP), an online collaborative
    pilot project to explore new ways to collaborate in mathematics with machine assistance.
    The project successfully determined all 22 028 942 edges of the implication graph
    between the 4694 simplest equational laws on magmas, by a combination of human-generated
    and automated proofs, all validated by the formal proof assistant language Lean.
    As a result of this project, several new constructions of magmas satisfying specific
    laws were discovered, and several auxiliary questions were also addressed, such
    as the effect of restricting attention to finite magmas.
article_number: '2512.07087'
article_processing_charge: No
arxiv: 1
author:
- first_name: Matthew
  full_name: Bolan, Matthew
  last_name: Bolan
- first_name: Joachim
  full_name: Breitner, Joachim
  last_name: Breitner
- first_name: Jose
  full_name: Brox, Jose
  last_name: Brox
- first_name: Nicholas
  full_name: Carlini, Nicholas
  last_name: Carlini
- first_name: Mario
  full_name: Carneiro, Mario
  last_name: Carneiro
- first_name: Floris van
  full_name: Doorn, Floris van
  last_name: Doorn
- first_name: Martin
  full_name: Dvorak, Martin
  id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425
  last_name: Dvorak
  orcid: 0000-0001-5293-214X
- first_name: Andrés
  full_name: Goens, Andrés
  last_name: Goens
- first_name: Aaron
  full_name: Hill, Aaron
  last_name: Hill
- first_name: Harald
  full_name: Husum, Harald
  last_name: Husum
- first_name: Hernán Ibarra
  full_name: Mejia, Hernán Ibarra
  last_name: Mejia
- first_name: Zoltan A.
  full_name: Kocsis, Zoltan A.
  last_name: Kocsis
- first_name: Bruno Le
  full_name: Floch, Bruno Le
  last_name: Floch
- first_name: Amir
  full_name: Bar-on, Amir
  last_name: Bar-on
- first_name: Lorenzo
  full_name: Luccioli, Lorenzo
  last_name: Luccioli
- first_name: Douglas
  full_name: McNeil, Douglas
  last_name: McNeil
- first_name: Alex
  full_name: Meiburg, Alex
  last_name: Meiburg
- first_name: Pietro
  full_name: Monticone, Pietro
  last_name: Monticone
- first_name: Pace P.
  full_name: Nielsen, Pace P.
  last_name: Nielsen
- first_name: Emmanuel Osalotioman
  full_name: Osazuwa, Emmanuel Osalotioman
  last_name: Osazuwa
- first_name: Giovanni
  full_name: Paolini, Giovanni
  last_name: Paolini
- first_name: Marco
  full_name: Petracci, Marco
  last_name: Petracci
- first_name: Bernhard
  full_name: Reinke, Bernhard
  last_name: Reinke
- first_name: David
  full_name: Renshaw, David
  last_name: Renshaw
- first_name: Marcus
  full_name: Rossel, Marcus
  last_name: Rossel
- first_name: Cody
  full_name: Roux, Cody
  last_name: Roux
- first_name: Jérémy
  full_name: Scanvic, Jérémy
  last_name: Scanvic
- first_name: Shreyas
  full_name: Srinivas, Shreyas
  last_name: Srinivas
- first_name: Anand Rao
  full_name: Tadipatri, Anand Rao
  last_name: Tadipatri
- first_name: Terence
  full_name: Tao, Terence
  last_name: Tao
- first_name: Vlad
  full_name: Tsyrklevich, Vlad
  last_name: Tsyrklevich
- first_name: Fernando
  full_name: Vaquerizo-Villar, Fernando
  last_name: Vaquerizo-Villar
- first_name: Daniel
  full_name: Weber, Daniel
  last_name: Weber
- first_name: Fan
  full_name: Zheng, Fan
  last_name: Zheng
citation:
  ama: 'Bolan M, Breitner J, Brox J, et al. The equational theories project: Advancing
    collaborative mathematical research at scale. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2512.07087">10.48550/arXiv.2512.07087</a>'
  apa: 'Bolan, M., Breitner, J., Brox, J., Carlini, N., Carneiro, M., Doorn, F. van,
    … Zheng, F. (n.d.). The equational theories project: Advancing collaborative mathematical
    research at scale. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2512.07087">https://doi.org/10.48550/arXiv.2512.07087</a>'
  chicago: 'Bolan, Matthew, Joachim Breitner, Jose Brox, Nicholas Carlini, Mario Carneiro,
    Floris van Doorn, Martin Dvorak, et al. “The Equational Theories Project: Advancing
    Collaborative Mathematical Research at Scale.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2512.07087">https://doi.org/10.48550/arXiv.2512.07087</a>.'
  ieee: 'M. Bolan <i>et al.</i>, “The equational theories project: Advancing collaborative
    mathematical research at scale,” <i>arXiv</i>. .'
  ista: 'Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M,
    Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L,
    McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci
    M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR,
    Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories
    project: Advancing collaborative mathematical research at scale. arXiv, 2512.07087.'
  mla: 'Bolan, Matthew, et al. “The Equational Theories Project: Advancing Collaborative
    Mathematical Research at Scale.” <i>ArXiv</i>, 2512.07087, doi:<a href="https://doi.org/10.48550/arXiv.2512.07087">10.48550/arXiv.2512.07087</a>.'
  short: M. Bolan, J. Breitner, J. Brox, N. Carlini, M. Carneiro, F. van Doorn, M.
    Dvorak, A. Goens, A. Hill, H. Husum, H.I. Mejia, Z.A. Kocsis, B.L. Floch, A. Bar-on,
    L. Luccioli, D. McNeil, A. Meiburg, P. Monticone, P.P. Nielsen, E.O. Osazuwa,
    G. Paolini, M. Petracci, B. Reinke, D. Renshaw, M. Rossel, C. Roux, J. Scanvic,
    S. Srinivas, A.R. Tadipatri, T. Tao, V. Tsyrklevich, F. Vaquerizo-Villar, D. Weber,
    F. Zheng, ArXiv (n.d.).
das_tickbox: '1'
date_created: 2026-03-04T12:00:16Z
date_published: 2025-12-16T00:00:00Z
date_updated: 2026-07-22T06:35:39Z
day: '16'
department:
- _id: GradSch
- _id: VlKo
doi: 10.48550/arXiv.2512.07087
external_id:
  arxiv:
  - '2512.07087'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2512.07087
month: '12'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: 'The equational theories project: Advancing collaborative mathematical research
  at scale'
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
