--- APC_amount: 6468 EUR DOAJ_listed: '1' OA_place: publisher OA_type: gold _id: '14793' abstract: - lang: eng text: Superconductor/semiconductor hybrid devices have attracted increasing interest in the past years. Superconducting electronics aims to complement semiconductor technology, while hybrid architectures are at the forefront of new ideas such as topological superconductivity and protected qubits. In this work, we engineer the induced superconductivity in two-dimensional germanium hole gas by varying the distance between the quantum well and the aluminum. We demonstrate a hard superconducting gap and realize an electrically and flux tunable superconducting diode using a superconducting quantum interference device (SQUID). This allows to tune the current phase relation (CPR), to a regime where single Cooper pair tunneling is suppressed, creating a sin(2y) CPR. Shapiro experiments complement this interpretation and the microwave drive allows to create a diode with ≈ 100% efficiency. The reported results open up the path towards integration of spin qubit devices, microwave resonators and (protected) superconducting qubits on the same silicon technology compatible platform. acknowledged_ssus: - _id: M-Shop - _id: NanoFab acknowledgement: "We acknowledge Alexander Brinkmann, Alessandro Crippa, Francesco Giazotto, Andrew Higginbotham, Andrea Iorio, Giordano Scappucci, Christian Schonenberger, and Lukas Splitthoff for helpful discussions. We thank Marcel Verheijen for the support in the TEM analysis. This research and related results were made possible with the support of the NOMIS\r\nFoundation. It was supported by the Scientific Service Units of ISTA through resources provided by the MIBA Machine Shop and the nanofabrication facility, the European Union’s Horizon 2020 research andinnovation programme under Grant Agreement No 862046, the HORIZONRIA\r\n101069515 project, the European Innovation Council Pathfinder grant no. 101115315 (QuKiT), and the FWF Projects #P-32235, #P-36507 and #F-8606. For the purpose of open access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission. R.S.S. acknowledges Spanish CM “Talento Program\"\r\nProject No. 2022-T1/IND-24070. J.J. acknowledges European Research Council TOCINA 834290." article_number: '169' article_processing_charge: Yes article_type: original author: - first_name: Marco full_name: Valentini, Marco id: C0BB2FAC-D767-11E9-B658-BC13E6697425 last_name: Valentini - first_name: Oliver full_name: Sagi, Oliver id: 71616374-A8E9-11E9-A7CA-09ECE5697425 last_name: Sagi - first_name: Levon full_name: Baghumyan, Levon id: 7aa1f788-b527-11ee-aa9e-e6111a79e0c7 last_name: Baghumyan - first_name: Thijs full_name: de Gijsel, Thijs id: a0ece13c-b527-11ee-929d-bad130106eee last_name: de Gijsel - first_name: Jason full_name: Jung, Jason id: 4C9ACE7A-F248-11E8-B48F-1D18A9856A87 last_name: Jung - first_name: Stefano full_name: Calcaterra, Stefano last_name: Calcaterra - first_name: Andrea full_name: Ballabio, Andrea last_name: Ballabio - first_name: Juan L full_name: Aguilera Servin, Juan L id: 2A67C376-F248-11E8-B48F-1D18A9856A87 last_name: Aguilera Servin orcid: 0000-0002-2862-8372 - first_name: Kushagra full_name: Aggarwal, Kushagra id: b22ab905-3539-11eb-84c3-fc159dcd79cb last_name: Aggarwal orcid: 0000-0001-9985-9293 - first_name: Marian full_name: Janik, Marian id: 396A1950-F248-11E8-B48F-1D18A9856A87 last_name: Janik orcid: 0009-0003-9037-8831 - first_name: Thomas full_name: Adletzberger, Thomas id: 38756BB2-F248-11E8-B48F-1D18A9856A87 last_name: Adletzberger - first_name: Rubén full_name: Seoane Souto, Rubén last_name: Seoane Souto - first_name: Martin full_name: Leijnse, Martin last_name: Leijnse - first_name: Jeroen full_name: Danon, Jeroen last_name: Danon - first_name: Constantin full_name: Schrade, Constantin last_name: Schrade - first_name: Erik full_name: Bakkers, Erik last_name: Bakkers - first_name: Daniel full_name: Chrastina, Daniel last_name: Chrastina - first_name: Giovanni full_name: Isella, Giovanni last_name: Isella - first_name: Georgios full_name: Katsaros, Georgios id: 38DB5788-F248-11E8-B48F-1D18A9856A87 last_name: Katsaros orcid: 0000-0001-8342-202X citation: ama: Valentini M, Sagi O, Baghumyan L, et al. Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium. Nature Communications. 2024;15. doi:10.1038/s41467-023-44114-0 apa: Valentini, M., Sagi, O., Baghumyan, L., de Gijsel, T., Jung, J., Calcaterra, S., … Katsaros, G. (2024). Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-023-44114-0 chicago: Valentini, Marco, Oliver Sagi, Levon Baghumyan, Thijs de Gijsel, Jason Jung, Stefano Calcaterra, Andrea Ballabio, et al. “Parity-Conserving Cooper-Pair Transport and Ideal Superconducting Diode in Planar Germanium.” Nature Communications. Springer Nature, 2024. https://doi.org/10.1038/s41467-023-44114-0. ieee: M. Valentini et al., “Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium,” Nature Communications, vol. 15. Springer Nature, 2024. ista: Valentini M, Sagi O, Baghumyan L, de Gijsel T, Jung J, Calcaterra S, Ballabio A, Aguilera Servin JL, Aggarwal K, Janik M, Adletzberger T, Seoane Souto R, Leijnse M, Danon J, Schrade C, Bakkers E, Chrastina D, Isella G, Katsaros G. 2024. Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium. Nature Communications. 15, 169. mla: Valentini, Marco, et al. “Parity-Conserving Cooper-Pair Transport and Ideal Superconducting Diode in Planar Germanium.” Nature Communications, vol. 15, 169, Springer Nature, 2024, doi:10.1038/s41467-023-44114-0. short: M. Valentini, O. Sagi, L. Baghumyan, T. de Gijsel, J. Jung, S. Calcaterra, A. Ballabio, J.L. Aguilera Servin, K. Aggarwal, M. Janik, T. Adletzberger, R. Seoane Souto, M. Leijnse, J. Danon, C. Schrade, E. Bakkers, D. Chrastina, G. Isella, G. Katsaros, Nature Communications 15 (2024). corr_author: '1' date_created: 2024-01-14T23:00:56Z date_published: 2024-01-02T00:00:00Z date_updated: 2026-07-29T07:04:56Z day: '02' ddc: - '530' department: - _id: GeKa doi: 10.1038/s41467-023-44114-0 ec_funded: 1 external_id: isi: - '001142794000839' pmid: - '38167818' file: - access_level: open_access checksum: ef79173b45eeaf984ffa61ef2f8a52ab content_type: application/pdf creator: dernst date_created: 2024-01-17T11:03:00Z date_updated: 2024-01-17T11:03:00Z file_id: '14825' file_name: 2024_NatureComm_Valentini.pdf file_size: 2336595 relation: main_file success: 1 file_date_updated: 2024-01-17T11:03:00Z has_accepted_license: '1' intvolume: ' 15' isi: 1 language: - iso: eng month: '01' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 237E5020-32DE-11EA-91FC-C7463DDC885E call_identifier: H2020 grant_number: '862046' name: TOPOLOGICALLY PROTECTED AND SCALABLE QUANTUM BITS - _id: 34c0acea-11ca-11ed-8bc3-8775e10fd452 grant_number: '101069515' name: Integrated Germanium Quantum Technology - _id: bdc2ca30-d553-11ed-ba76-cf164a5bb811 grant_number: '101115315' name: Quantum bits with Kitaev Transmons - _id: 237B3DA4-32DE-11EA-91FC-C7463DDC885E call_identifier: FWF grant_number: P32235 name: Towards scalable hut wire quantum devices - _id: bd8bd29e-d553-11ed-ba76-f0070d4b237a grant_number: P36507 name: Merging spin and superconducting qubits in planar Ge - _id: 34a66131-11ca-11ed-8bc3-a31681c6b03e grant_number: F8606 name: 'Center for Correlated Quantum Materials and Solid State Quantum Systems: Conventional and unconventional topological superconductors' - _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1 call_identifier: FWF name: FWF Open Access Fund publication: Nature Communications publication_identifier: eissn: - 2041-1723 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '13312' relation: earlier_version status: public scopus_import: '1' status: public title: Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium 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: 15 year: '2024' ... --- _id: '12312' abstract: - lang: eng text: "Let $\\ell$ be a prime number. We classify the subgroups $G$ of $\\operatorname{Sp}_4(\\mathbb{F}_\\ell)$ and $\\operatorname{GSp}_4(\\mathbb{F}_\\ell)$ that act irreducibly on $\\mathbb{F}_\\ell^4$, but such that every element of $G$ fixes an $\\mathbb{F}_\\ell$-vector subspace of dimension 1. We use this classification to prove that the local-global principle for isogenies of degree $\\ell$ between abelian surfaces over number fields holds in many cases -- in particular, whenever the abelian surface has non-trivial endomorphisms and $\\ell$ is large enough with respect to the field of definition. Finally, we prove that there exist arbitrarily large primes $\\ell$ for which some abelian surface\r\n$A/\\mathbb{Q}$ fails the local-global principle for isogenies of degree $\\ell$." acknowledgement: "It is a pleasure to thank Samuele Anni for his interest in this project and for several discussions on the topic of this paper, which led in particular to Remark 6.30 and to a better understanding of the difficulties with [6]. We also thank John Cullinan for correspondence about [6] and Barinder Banwait for his many insightful comments on the first version of this paper. Finally, we thank the referee for their thorough reading of the manuscript.\r\nOpen access funding provided by Università di Pisa within the CRUI-CARE Agreement. The authors have been partially supported by MIUR (Italy) through PRIN 2017 “Geometric, algebraic and analytic methods in arithmetic\" and PRIN 2022 “Semiabelian varieties, Galois representations and related Diophantine problems\", and by the University of Pisa through PRA 2018-19 and 2022 “Spazi di moduli, rappresentazioni e strutture combinatorie\". The first author is a member of the INdAM group GNSAGA." article_number: '18' article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - 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: Lombardo D, Verzobio M. On the local-global principle for isogenies of abelian surfaces. Selecta Mathematica. 2024;30(2). doi:10.1007/s00029-023-00908-0 apa: Lombardo, D., & Verzobio, M. (2024). On the local-global principle for isogenies of abelian surfaces. Selecta Mathematica. Springer Nature. https://doi.org/10.1007/s00029-023-00908-0 chicago: Lombardo, Davide, and Matteo Verzobio. “On the Local-Global Principle for Isogenies of Abelian Surfaces.” Selecta Mathematica. Springer Nature, 2024. https://doi.org/10.1007/s00029-023-00908-0. ieee: D. Lombardo and M. Verzobio, “On the local-global principle for isogenies of abelian surfaces,” Selecta Mathematica, vol. 30, no. 2. Springer Nature, 2024. ista: Lombardo D, Verzobio M. 2024. On the local-global principle for isogenies of abelian surfaces. Selecta Mathematica. 30(2), 18. mla: Lombardo, Davide, and Matteo Verzobio. “On the Local-Global Principle for Isogenies of Abelian Surfaces.” Selecta Mathematica, vol. 30, no. 2, 18, Springer Nature, 2024, doi:10.1007/s00029-023-00908-0. short: D. Lombardo, M. Verzobio, Selecta Mathematica 30 (2024). corr_author: '1' das_tickbox: '0' date_created: 2023-01-16T11:45:53Z date_published: 2024-01-26T00:00:00Z date_updated: 2026-07-29T09:53:10Z day: '26' ddc: - '510' department: - _id: TiBr doi: 10.1007/s00029-023-00908-0 external_id: arxiv: - '2206.15240' isi: - '001148959100001' file: - access_level: open_access checksum: ae75441420aabd80c5828bce38272ba1 content_type: application/pdf creator: dernst date_created: 2024-07-22T09:33:58Z date_updated: 2024-07-22T09:33:58Z file_id: '17298' file_name: 2024_SelectaMath_Lombardo.pdf file_size: 1301415 relation: main_file success: 1 file_date_updated: 2024-07-22T09:33:58Z has_accepted_license: '1' intvolume: ' 30' isi: 1 issue: '2' language: - iso: eng month: '01' oa: 1 oa_version: Published Version publication: Selecta Mathematica publication_identifier: eissn: - 1420-9020 issn: - 1022-1824 publication_status: published publisher: Springer Nature quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: On the local-global principle for isogenies of abelian surfaces tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 30 year: '2024' ... --- OA_place: repository OA_type: green _id: '19425' abstract: - lang: eng text: "We demonstrate that periodically driven quantum rotors provide a promising and broadly applicable platform to implement multi-gap topological phases, where groups of bands can acquire topological invariants due to non-Abelian braiding of band degeneracies. By adiabatically varying the periodic kicks to the rotor we find nodal-line braiding, which causes sign flips of topological charges of band nodes and can prevent them from annihilating, indicated by non-zero values of the %non-Abelian patch Euler class. In particular, we report\r\non the emergence of an anomalous Dirac string phase arising in the strongly driven regime, a truly out-of-equilibrium phase of the quantum rotor. This phase emanates from braiding processes involving all (quasienergy) gaps and manifests itself with edge states at zero angular momentum. Our results reveal direct applications in state-of-the-art experiments of quantum rotors, such as linear molecules driven by periodic far-off-resonant laser pulses or artificial\r\nquantum rotors in optical lattices, whose extensive versatility offers precise modification and observation of novel non-Abelian topological properties. " acknowledgement: "We thank G. M. Koutentakis, S. Wimberger, J. G. E. Harris, T. Enss and A. Ghazaryan for fruitful discussions. M.L. acknowledges support by the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). R.-J. S. acknowledges funding from a EPSRC ERC underwrite grant EP/X025829/1, a EPSRC New Investigator Award grant EP/W00187X/1, as well as Trinity College, Cambridge. F.N.U. acknowledges support from the Marie ¨Sk lodowska-Curie programme of the European Commission [Grant No. 893915], Simons Investigator Award\r\n[Grant No. 511029] and Trinity College Cambridge." article_number: '2408.16848' article_processing_charge: No arxiv: 1 author: - first_name: Volker full_name: Karle, Volker id: D7C012AE-D7ED-11E9-95E8-1EC5E5697425 last_name: Karle orcid: 0000-0002-6963-0129 - first_name: Mikhail full_name: Lemeshko, Mikhail id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 - first_name: Adrien full_name: Bouhon, Adrien last_name: Bouhon - first_name: Robert-Jan full_name: Slager, Robert-Jan last_name: Slager - first_name: F. Nur full_name: Ünal, F. Nur last_name: Ünal citation: ama: Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological phases in periodically driven quantum  rotors. arXiv. doi:10.48550/arXiv.2408.16848 apa: Karle, V., Lemeshko, M., Bouhon, A., Slager, R.-J., & Ünal, F. N. (n.d.). Anomalous multi-gap topological phases in periodically driven quantum  rotors. arXiv. https://doi.org/10.48550/arXiv.2408.16848 chicago: Karle, Volker, Mikhail Lemeshko, Adrien Bouhon, Robert-Jan Slager, and F. Nur Ünal. “Anomalous Multi-Gap Topological Phases in Periodically Driven Quantum  Rotors.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2408.16848. ieee: V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, and F. N. Ünal, “Anomalous multi-gap topological phases in periodically driven quantum  rotors,” arXiv. . ista: Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological phases in periodically driven quantum  rotors. arXiv, 2408.16848. mla: Karle, Volker, et al. “Anomalous Multi-Gap Topological Phases in Periodically Driven Quantum  Rotors.” ArXiv, 2408.16848, doi:10.48550/arXiv.2408.16848. short: V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, F.N. Ünal, ArXiv (n.d.). date_created: 2025-03-20T07:48:23Z date_published: 2024-08-29T00:00:00Z date_updated: 2026-07-29T08:59:31Z day: '29' department: - _id: MiLe doi: 10.48550/arXiv.2408.16848 ec_funded: 1 external_id: arxiv: - '2408.16848' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2408.16848 month: '08' oa: 1 oa_version: Preprint project: - _id: 2688CF98-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '801770' name: 'Angulon: physics and applications of a new quasiparticle' publication: arXiv publication_status: draft related_material: record: - id: '19393' relation: dissertation_contains status: public - id: '21009' relation: later_version status: public status: public title: Anomalous multi-gap topological phases in periodically driven quantum rotors type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2024' ... --- _id: '17127' abstract: - lang: eng text: "Let P(x)∈Z[x] be a polynomial with at least two distinct complex roots. We prove that the number of solutions (x1,…,xk,y1,…,yk)∈[N]2k to the equation\r\n∏1≤i≤kP(xi)=∏1≤j≤kP(yj)≠0\r\n(for any k≥1 ) is asymptotically k!Nk as N→+∞. This solves a question first proposed and studied by Najnudel. The result can also be interpreted as saying that all even moments of random partial sums 1N√∑n≤Nf(P(n)) match standard complex Gaussian moments as N→+∞\r\n , where f is the Steinhaus random multiplicative function." acknowledgement: 'We thank Oleksiy Klurman, Ilya Shkredov, and Igor Shparlinski for helpful comments on earlier versions of the paper, and thank Yotam Hendel for providing a reference for Lemma 2.1. We also thank the anonymous referee for their generous corrections and comments. The first author has received funding from the European Union''s Horizon 2020 Research and Innovation Program under the Marie Skłodowska-Curie Grant Agreement Number: 101034413. The second author is partially supported by the Cuthbert C. Hurd Graduate Fellowship in the Mathematical Sciences, Stanford.' 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 - first_name: Max Wenqiang full_name: Xu, Max Wenqiang last_name: Xu citation: ama: Wang V, Xu MW. Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. 2024;56(8):2718-2726. doi:10.1112/blms.13095 apa: Wang, V., & Xu, M. W. (2024). Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/blms.13095 chicago: Wang, Victor, and Max Wenqiang Xu. “Paucity Phenomena for Polynomial Products.” Bulletin of the London Mathematical Society. London Mathematical Society, 2024. https://doi.org/10.1112/blms.13095. ieee: V. Wang and M. W. Xu, “Paucity phenomena for polynomial products,” Bulletin of the London Mathematical Society, vol. 56, no. 8. London Mathematical Society, pp. 2718–2726, 2024. ista: Wang V, Xu MW. 2024. Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. 56(8), 2718–2726. mla: Wang, Victor, and Max Wenqiang Xu. “Paucity Phenomena for Polynomial Products.” Bulletin of the London Mathematical Society, vol. 56, no. 8, London Mathematical Society, 2024, pp. 2718–26, doi:10.1112/blms.13095. short: V. Wang, M.W. Xu, Bulletin of the London Mathematical Society 56 (2024) 2718–2726. das_tickbox: '0' date_created: 2024-06-09T22:01:03Z date_published: 2024-08-01T00:00:00Z date_updated: 2026-07-29T09:57:59Z day: '01' ddc: - '512' department: - _id: TiBr doi: 10.1112/blms.13095 ec_funded: 1 external_id: arxiv: - '2211.02908' isi: - '001235729900001' file: - access_level: open_access checksum: ae386a4031856efac23c7cdcb53b559b content_type: application/pdf creator: vwang date_created: 2024-08-20T08:36:32Z date_updated: 2024-08-20T08:36:32Z file_id: '17446' file_name: Paucity_phenomena_for_polynomial_products__Wang_Xu_ (7).pdf file_size: 331775 relation: main_file success: 1 file_date_updated: 2024-08-20T08:36:32Z has_accepted_license: '1' intvolume: ' 56' isi: 1 issue: '8' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2211.02908 month: '08' oa: 1 oa_version: Submitted Version page: 2718-2726 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: Bulletin of the London Mathematical Society publication_identifier: eissn: - 1469-2120 issn: - 0024-6093 publication_status: published publisher: London Mathematical Society quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Paucity phenomena for polynomial products type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 56 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '15338' abstract: - lang: eng text: We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy–Littlewood circle method over number fields. acknowledgement: The authors are grateful to Jayce Getz for asking questions that set this project in motion and to the anonymous referee for useful comments. T.B. was supported by a FWF grant (DOI 10.55776/P32428) and by a grant from the Institute for Advanced Study School of Mathematics. L.B.P. was partially supported by NSF DMS-2200470 and DMS-1652173, and thanks the Hausdorff Centre for Mathematics for hosting research visits. 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: Lillian B. full_name: Pierce, Lillian B. last_name: Pierce - first_name: Damaris full_name: Schindler, Damaris last_name: Schindler citation: ama: Browning TD, Pierce LB, Schindler D. Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu. 2024;23(6):2859-2912. doi:10.1017/S1474748024000161 apa: Browning, T. D., Pierce, L. B., & Schindler, D. (2024). Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748024000161 chicago: Browning, Timothy D, Lillian B. Pierce, and Damaris Schindler. “Generalised Quadratic Forms over Totally Real Number Fields.” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2024. https://doi.org/10.1017/S1474748024000161. ieee: T. D. Browning, L. B. Pierce, and D. Schindler, “Generalised quadratic forms over totally real number fields,” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 6. Cambridge University Press, pp. 2859–2912, 2024. ista: Browning TD, Pierce LB, Schindler D. 2024. Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu. 23(6), 2859–2912. mla: Browning, Timothy D., et al. “Generalised Quadratic Forms over Totally Real Number Fields.” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 6, Cambridge University Press, 2024, pp. 2859–912, doi:10.1017/S1474748024000161. short: T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu 23 (2024) 2859–2912. corr_author: '1' das_tickbox: '0' date_created: 2024-04-21T22:00:53Z date_published: 2024-11-01T00:00:00Z date_updated: 2026-07-29T09:57:08Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1017/S1474748024000161 external_id: arxiv: - '2212.11038' isi: - '001200337400001' file: - access_level: open_access checksum: b300541d581a71d92314df5ae8c4cc09 content_type: application/pdf creator: dernst date_created: 2025-01-09T08:56:33Z date_updated: 2025-01-09T08:56:33Z file_id: '18793' file_name: 2024_JournInstMathJussieu_Browning.pdf file_size: 690974 relation: main_file success: 1 file_date_updated: 2025-01-09T08:56:33Z has_accepted_license: '1' intvolume: ' 23' isi: 1 issue: '6' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: 2859-2912 project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: Journal of the Institute of Mathematics of Jussieu publication_identifier: eissn: - 1475-3030 issn: - 1474-7480 publication_status: published publisher: Cambridge University Press quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Generalised quadratic forms over totally real number 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: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 23 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '15337' abstract: - lang: eng text: We prove the Manin–Peyre conjecture for the number of rational points of bounded height outside of a thin subset on a family of Fano threefolds of bidegree (1, 2). acknowledgement: Open access funding provided by Institute of Science and Technology (IST Austria).The authors are grateful to Florian Wilsch for useful comments. While working on this paper the authors were supported by FWF grant P 32428. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Dante full_name: Bonolis, Dante id: 6A459894-5FDD-11E9-AF35-BB24E6697425 last_name: Bonolis - 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: Zhizhong full_name: Huang, Zhizhong id: 21f1b52f-2fd1-11eb-a347-a4cdb9b18a51 last_name: Huang citation: ama: Bonolis D, Browning TD, Huang Z. Density of rational points on some quadric bundle threefolds. Mathematische Annalen. 2024;390:4123-4207. doi:10.1007/s00208-024-02854-4 apa: Bonolis, D., Browning, T. D., & Huang, Z. (2024). Density of rational points on some quadric bundle threefolds. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-024-02854-4 chicago: Bonolis, Dante, Timothy D Browning, and Zhizhong Huang. “Density of Rational Points on Some Quadric Bundle Threefolds.” Mathematische Annalen. Springer Nature, 2024. https://doi.org/10.1007/s00208-024-02854-4. ieee: D. Bonolis, T. D. Browning, and Z. Huang, “Density of rational points on some quadric bundle threefolds,” Mathematische Annalen, vol. 390. Springer Nature, pp. 4123–4207, 2024. ista: Bonolis D, Browning TD, Huang Z. 2024. Density of rational points on some quadric bundle threefolds. Mathematische Annalen. 390, 4123–4207. mla: Bonolis, Dante, et al. “Density of Rational Points on Some Quadric Bundle Threefolds.” Mathematische Annalen, vol. 390, Springer Nature, 2024, pp. 4123–207, doi:10.1007/s00208-024-02854-4. short: D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen 390 (2024) 4123–4207. corr_author: '1' das_tickbox: '0' date_created: 2024-04-21T22:00:53Z date_published: 2024-11-01T00:00:00Z date_updated: 2026-07-29T09:56:42Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1007/s00208-024-02854-4 external_id: arxiv: - '2204.09322' isi: - '001204670500001' file: - access_level: open_access checksum: 5dd51531deb1e4760c38c3c0c7d5aedc content_type: application/pdf creator: dernst date_created: 2025-01-09T09:08:14Z date_updated: 2025-01-09T09:08:14Z file_id: '18796' file_name: 2024_MathAnnalen_Bonolis.pdf file_size: 1019116 relation: main_file success: 1 file_date_updated: 2025-01-09T09:08:14Z has_accepted_license: '1' intvolume: ' 390' isi: 1 language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: 4123-4207 project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: Mathematische Annalen publication_identifier: eissn: - 1432-1807 issn: - 0025-5831 publication_status: published publisher: Springer Nature quality_controlled: '1' researchdata_availability: no status: public supplementarymaterial: no title: Density of rational points on some quadric bundle threefolds 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: 390 year: '2024' ... --- OA_place: publisher OA_type: hybrid PlanS_conform: '1' _id: '18930' abstract: - lang: eng text: "We study sumsets \U0001D49C + ℬ in the set of squares \U0001D4AE (and, more generally, in the set of kth powers \U0001D4AEk, where k ≥2 is an integer). It is known by a result of Gyarmati that \U0001D49C + ℬ ⊂ \U0001D4AEk ∩[1,N] implies that min(|\U0001D49C|,|ℬ|) =Ok(logN). Here, we study how the upper bound on |ℬ| decreases, when the size of |\U0001D49C| increases (or vice versa). In particular, if |\U0001D49C| ≥ Ck1m m(logN)1m , then |ℬ| = Ok(m2logN), for sufficiently large N, a positive integer m and an explicit constant C > 0. For example, with m ∼ loglogN this gives: If |\U0001D49C| ≥ CkloglogN,then |ℬ| = Ok(logN(loglogN)2)." acknowledgement: This manuscript grew out of the second author’s MSc Thesis at Graz University of Technology [34]. C. Elsholtz is supported by a joint FWF-ANR project ArithRand, grant numbers FWF I 4945-N and ANR-20-CE91-0006. Both authors would like to thank Igor Shparlinski for drawing our attention to related character sum estimates. Furthermore, we would like to thank the referee for a careful reading of the paper. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Christian full_name: Elsholtz, Christian last_name: Elsholtz - first_name: Lena full_name: Wurzinger, Lena id: 50c57d72-32a8-11ee-aeea-d652094d2ccd last_name: Wurzinger orcid: 0009-0004-5360-0074 citation: ama: Elsholtz C, Wurzinger L. Sumsets in the set of squares. The Quarterly Journal of Mathematics. 2024;75(4):1243-1254. doi:10.1093/qmath/haae044 apa: Elsholtz, C., & Wurzinger, L. (2024). Sumsets in the set of squares. The Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qmath/haae044 chicago: Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.” The Quarterly Journal of Mathematics. Oxford University Press, 2024. https://doi.org/10.1093/qmath/haae044. ieee: C. Elsholtz and L. Wurzinger, “Sumsets in the set of squares,” The Quarterly Journal of Mathematics, vol. 75, no. 4. Oxford University Press, pp. 1243–1254, 2024. ista: Elsholtz C, Wurzinger L. 2024. Sumsets in the set of squares. The Quarterly Journal of Mathematics. 75(4), 1243–1254. mla: Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.” The Quarterly Journal of Mathematics, vol. 75, no. 4, Oxford University Press, 2024, pp. 1243–54, doi:10.1093/qmath/haae044. short: C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024) 1243–1254. corr_author: '1' das_tickbox: '0' date_created: 2025-01-28T06:55:31Z date_published: 2024-12-01T00:00:00Z date_updated: 2026-07-29T09:58:28Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1093/qmath/haae044 external_id: isi: - '001304396600001' file: - access_level: open_access checksum: 1a06e052761d3f1e873463d6f529dd82 content_type: application/pdf creator: dernst date_created: 2025-01-28T07:03:51Z date_updated: 2025-01-28T07:03:51Z file_id: '18931' file_name: 2024_QuarterlyJourMath_Elsholtz.pdf file_size: 424645 relation: main_file success: 1 file_date_updated: 2025-01-28T07:03:51Z has_accepted_license: '1' intvolume: ' 75' isi: 1 issue: '4' language: - iso: eng month: '12' oa: 1 oa_version: Published Version page: 1243-1254 publication: The Quarterly Journal of Mathematics publication_identifier: eissn: - 1464-3847 issn: - 0033-5606 publication_status: published publisher: Oxford University Press quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Sumsets in the set of squares 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: 75 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '15312' abstract: - lang: eng text: The question of whether or not a given integral polynomial takes infinitely many square-free values has only been addressed unconditionally for polynomials of degree at most 3. We address this question, on average, for polynomials of arbitrary degree. article_processing_charge: No 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: Igor E. full_name: Shparlinski, Igor E. last_name: Shparlinski citation: ama: Browning TD, Shparlinski IE. Square-free values of random polynomials. Journal of Number Theory. 2024;261:220-240. doi:10.1016/j.jnt.2024.02.013 apa: Browning, T. D., & Shparlinski, I. E. (2024). Square-free values of random polynomials. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2024.02.013 chicago: Browning, Timothy D, and Igor E. Shparlinski. “Square-Free Values of Random Polynomials.” Journal of Number Theory. Elsevier, 2024. https://doi.org/10.1016/j.jnt.2024.02.013. ieee: T. D. Browning and I. E. Shparlinski, “Square-free values of random polynomials,” Journal of Number Theory, vol. 261. Elsevier, pp. 220–240, 2024. ista: Browning TD, Shparlinski IE. 2024. Square-free values of random polynomials. Journal of Number Theory. 261, 220–240. mla: Browning, Timothy D., and Igor E. Shparlinski. “Square-Free Values of Random Polynomials.” Journal of Number Theory, vol. 261, Elsevier, 2024, pp. 220–40, doi:10.1016/j.jnt.2024.02.013. short: T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 220–240. corr_author: '1' das_tickbox: '0' date_created: 2024-04-14T22:01:00Z date_published: 2024-08-01T00:00:00Z date_updated: 2026-07-29T09:55:38Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1016/j.jnt.2024.02.013 external_id: arxiv: - '2305.15493' isi: - '001220725000001' file: - access_level: open_access checksum: 614032802febde0aa8e904e9a8ef99ab content_type: application/pdf creator: dernst date_created: 2025-01-09T09:00:02Z date_updated: 2025-01-09T09:00:02Z file_id: '18794' file_name: 2024_JourNumberTheory_Browning.pdf file_size: 394850 relation: main_file success: 1 file_date_updated: 2025-01-09T09:00:02Z has_accepted_license: '1' intvolume: ' 261' isi: 1 language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: 220-240 publication: Journal of Number Theory publication_identifier: issn: - 0022-314X publication_status: published publisher: Elsevier quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Square-free values of random polynomials 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: 261 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '19051' abstract: - lang: eng text: This paper corrects an error in an earlier work of the author. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: Browning TD. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2024;2024(13):10165-10168. doi:10.1093/imrn/rnae066 apa: Browning, T. D. (2024). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnae066 chicago: Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae066. ieee: T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” International Mathematics Research Notices, vol. 2024, no. 13. Oxford University Press, pp. 10165–10168, 2024. ista: Browning TD. 2024. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2024(13), 10165–10168. mla: Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices, vol. 2024, no. 13, Oxford University Press, 2024, pp. 10165–68, doi:10.1093/imrn/rnae066. short: T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168. corr_author: '1' das_tickbox: '0' date_created: 2025-02-18T07:15:50Z date_published: 2024-07-01T00:00:00Z date_updated: 2026-07-29T09:59:57Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1093/imrn/rnae066 external_id: isi: - '001196957300001' file: - access_level: open_access checksum: b625b8adf018d2a97591813c1fc17b96 content_type: application/pdf creator: dernst date_created: 2025-02-18T07:56:36Z date_updated: 2025-02-18T07:56:36Z file_id: '19052' file_name: 2024_IMRN_Browning.pdf file_size: 205750 relation: main_file success: 1 file_date_updated: 2025-02-18T07:56:36Z has_accepted_license: '1' intvolume: ' 2024' isi: 1 issue: '13' language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: 10165-10168 publication: International Mathematics Research Notices publication_identifier: eissn: - 1687-0247 issn: - 1073-7928 publication_status: published publisher: Oxford University Press quality_controlled: '1' related_material: record: - id: '254' relation: earlier_version status: public researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: The polynomial sieve and equal sums of like polynomials 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: 2024 year: '2024' ... --- _id: '10018' abstract: - lang: eng text: In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type A1 + A3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines. acknowledgement: The first author was partly supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft. The second author was partly supported by FWF grant P 32428-N35 and conducted part of this work as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Ulrich full_name: Derenthal, Ulrich last_name: Derenthal - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 2024;23(3):1259-1294. doi:10.1017/S1474748022000482 apa: Derenthal, U., & Wilsch, F. A. (2024). Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748022000482 chicago: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2024. https://doi.org/10.1017/S1474748022000482. ieee: U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 3. Cambridge University Press, pp. 1259–1294, 2024. ista: Derenthal U, Wilsch FA. 2024. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 23(3), 1259–1294. mla: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 3, Cambridge University Press, 2024, pp. 1259–94, doi:10.1017/S1474748022000482. short: U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294. corr_author: '1' das_tickbox: '0' date_created: 2021-09-15T10:06:48Z date_published: 2024-05-10T00:00:00Z date_updated: 2026-07-29T10:00:51Z day: '10' ddc: - '510' department: - _id: TiBr doi: 10.1017/S1474748022000482 external_id: arxiv: - '2109.06778' isi: - '000881319200001' file: - access_level: open_access checksum: c4698ea12cfe10ef2c6c79880290c7ac content_type: application/pdf creator: dernst date_created: 2024-06-03T08:33:29Z date_updated: 2024-06-03T08:33:29Z file_id: '17102' file_name: 2024_JourMathJussieu_Derenthal.pdf file_size: 592305 relation: main_file success: 1 file_date_updated: 2024-06-03T08:33:29Z has_accepted_license: '1' intvolume: ' 23' isi: 1 issue: '3' keyword: - Integral points - del Pezzo surface - universal torsor - Manin’s conjecture language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: 1259-1294 project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: Journal of the Institute of Mathematics of Jussieu publication_identifier: eissn: - '1475-3030 ' issn: - 1474-7480 publication_status: published publisher: Cambridge University Press quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Integral points on singular del Pezzo surfaces tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 23 year: '2024' ... --- _id: '17447' abstract: - lang: eng text: Let F be a diagonal cubic form over Z in six variables. From the dual variety in the delta method of Duke–Friedlander–Iwaniec and Heath‐Brown, we unconditionally extract a weighted count of certain special integral zeros of F in regions of diameter X - 8 . Heath‐Brown did the same in four variables, but our analysis differs and captures some novel features. We also put forth an axiomatic framework for more general F. acknowledgement: This paper is an important component of the thesis work described in [25]; many of my acknowledgements there apply here as well. I also thank my advisor, Peter Sarnak, for many helpful suggestions and questions on the exposition, references, assumptions, and scope of (various drafts of) the present work. I am also grateful to Trevor Wooley for providing some helpful general comments on special subvarieties and the reference [24]. I thank Tim Browning for inspiring part of the current title of the paper. Finally, thanks are due to the referee for providing many helpful suggestions. This work was partially supported by NSF grant DMS-1802211, and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant AgreementNo. 101034413. article_number: e12975 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. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 2024;110(3). doi:10.1112/jlms.12975 apa: Wang, V. (2024). Special cubic zeros and the dual variety. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.12975 chicago: Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society. Wiley, 2024. https://doi.org/10.1112/jlms.12975. ieee: V. Wang, “Special cubic zeros and the dual variety,” Journal of the London Mathematical Society, vol. 110, no. 3. Wiley, 2024. ista: Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 110(3), e12975. mla: Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society, vol. 110, no. 3, e12975, Wiley, 2024, doi:10.1112/jlms.12975. short: V. Wang, Journal of the London Mathematical Society 110 (2024). corr_author: '1' das_tickbox: '0' date_created: 2024-08-20T08:41:40Z date_published: 2024-08-14T00:00:00Z date_updated: 2026-07-29T10:02:22Z day: '14' ddc: - '512' department: - _id: TiBr doi: 10.1112/jlms.12975 ec_funded: 1 external_id: arxiv: - '2108.03396' isi: - '001310529600001' file: - access_level: open_access checksum: 90437e19f57520b4d66ca62408f6c81e content_type: application/pdf creator: dernst date_created: 2024-08-21T06:36:40Z date_updated: 2024-08-21T06:36:40Z file_id: '17454' file_name: 2024_JourLondonMathSoc_Wang.pdf file_size: 438751 relation: main_file success: 1 file_date_updated: 2024-08-21T06:36:40Z has_accepted_license: '1' intvolume: ' 110' isi: 1 issue: '3' 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: Journal of the London Mathematical Society publication_identifier: eissn: - 1469-7750 issn: - 0024-6107 publication_status: published publisher: Wiley quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Special cubic zeros and the dual variety 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: 110 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '17323' abstract: - lang: eng text: We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence that only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods. At the end of the paper, there is an appendix by Sandro Bettin on divisor closed sets that we use to study the density of prime terms that appear in strong divisibility sequences. acknowledgement: The authors are very grateful to Andrew Granville, Dimitris Koukoulopoulos, Davide Lombardo,Florian Luca, Igor Shparlinski and Joni Teräväinen for useful comments. While working on thispaper, the first author was supported by a FWF Grant (DOI 10.55776/P36278) and the secondauthor was supported by the European Union’s Horizon 2020 research and innovation programunder the Marie Skłodowska-Curie Grant Agreement Number 101034413. article_number: e12269 article_processing_charge: Yes (via OA deal) article_type: original 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: Matteo full_name: Verzobio, Matteo id: 7aa8f170-131e-11ed-88e1-a9efd01027cb last_name: Verzobio orcid: 0000-0002-0854-0306 citation: ama: Browning TD, Verzobio M. Strong divisibility sequences and sieve methods. Mathematika. 2024;70(4). doi:10.1112/mtk.12269 apa: Browning, T. D., & Verzobio, M. (2024). Strong divisibility sequences and sieve methods. Mathematika. London Mathematical Society. https://doi.org/10.1112/mtk.12269 chicago: Browning, Timothy D, and Matteo Verzobio. “Strong Divisibility Sequences and Sieve Methods.” Mathematika. London Mathematical Society, 2024. https://doi.org/10.1112/mtk.12269. ieee: T. D. Browning and M. Verzobio, “Strong divisibility sequences and sieve methods,” Mathematika, vol. 70, no. 4. London Mathematical Society, 2024. ista: Browning TD, Verzobio M. 2024. Strong divisibility sequences and sieve methods. Mathematika. 70(4), e12269. mla: Browning, Timothy D., and Matteo Verzobio. “Strong Divisibility Sequences and Sieve Methods.” Mathematika, vol. 70, no. 4, e12269, London Mathematical Society, 2024, doi:10.1112/mtk.12269. short: T.D. Browning, M. Verzobio, Mathematika 70 (2024). corr_author: '1' das_tickbox: '0' date_created: 2024-07-28T22:01:08Z date_published: 2024-10-01T00:00:00Z date_updated: 2026-07-29T10:01:24Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1112/mtk.12269 ec_funded: 1 external_id: isi: - '001273912800001' file: - access_level: open_access checksum: 0b1518bdc1a901413005c19202cfa497 content_type: application/pdf creator: dernst date_created: 2025-01-13T11:06:25Z date_updated: 2025-01-13T11:06:25Z file_id: '18842' file_name: 2024_Mathematika_Browning.pdf file_size: 273006 relation: main_file success: 1 file_date_updated: 2025-01-13T11:06:25Z has_accepted_license: '1' intvolume: ' 70' isi: 1 issue: '4' language: - iso: eng month: '10' 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: Mathematika publication_identifier: eissn: - 2041-7942 issn: - 0025-5793 publication_status: published publisher: London Mathematical Society quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Strong divisibility sequences and sieve methods 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: 70 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '18064' abstract: - lang: eng text: " We show that the total number of non-torsion integral points on the elliptic curves ED : y\r\n2 = x3 − D2x, where D ranges over positive squarefree integers less than N, is O(N(log N)\r\n−1/4+ǫ). The proof involves a discriminant-lowering procedure on integral binary quartic forms and an application of Heath-Brown’s method on estimating the average size of the 2-Selmer group of the curves in this family." article_number: '109946' article_processing_charge: Yes (via OA deal) 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 citation: ama: Chan S. The average number of integral points on the congruent number curves. Advances in Mathematics. 2024;457(11). doi:10.1016/j.aim.2024.109946 apa: Chan, S. (2024). The average number of integral points on the congruent number curves. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109946 chicago: Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109946. ieee: S. Chan, “The average number of integral points on the congruent number curves,” Advances in Mathematics, vol. 457, no. 11. Elsevier, 2024. ista: Chan S. 2024. The average number of integral points on the congruent number curves. Advances in Mathematics. 457(11), 109946. mla: Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics, vol. 457, no. 11, 109946, Elsevier, 2024, doi:10.1016/j.aim.2024.109946. short: S. Chan, Advances in Mathematics 457 (2024). corr_author: '1' das_tickbox: '0' date_created: 2024-09-15T22:01:39Z date_published: 2024-11-01T00:00:00Z date_updated: 2026-07-29T10:03:09Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1016/j.aim.2024.109946 external_id: arxiv: - '2112.01615' file: - access_level: open_access checksum: f555742540ad91a3040aeafd68b1fcde content_type: application/pdf creator: dernst date_created: 2025-01-13T08:54:09Z date_updated: 2025-01-13T08:54:09Z file_id: '18829' file_name: 2024_AdvancesMath_Chan.pdf file_size: 564386 relation: main_file success: 1 file_date_updated: 2025-01-13T08:54:09Z has_accepted_license: '1' intvolume: ' 457' issue: '11' language: - iso: eng month: '11' oa: 1 oa_version: Published Version 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: The average number of integral points on the congruent number curves 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: 457 year: '2024' ... --- _id: '18173' abstract: - lang: eng text: Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least 23 over Fq(t), provided char (Fq)>3. Under the same hypotheses, we also verify weak approximation. acknowledgement: The author would like to thank his supervisor Tim Browning for suggesting this project and many helpful conversations and Pankaj Vishe for useful comments. Moreover, he is grateful to Dante Bonolis and Julian Lyczak for sharing their expertise in exponential sums and geometry. While working on this paper, the author was supported by FWF grant (DOI 10.55776/P36278). article_number: e12991 article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Jakob full_name: Glas, Jakob id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb last_name: Glas citation: ama: Glas J. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. 2024;110(4). doi:10.1112/jlms.12991 apa: Glas, J. (2024). Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/jlms.12991 chicago: Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” Journal of the London Mathematical Society. London Mathematical Society, 2024. https://doi.org/10.1112/jlms.12991. ieee: J. Glas, “Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t),” Journal of the London Mathematical Society, vol. 110, no. 4. London Mathematical Society, 2024. ista: Glas J. 2024. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. 110(4), e12991. mla: Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” Journal of the London Mathematical Society, vol. 110, no. 4, e12991, London Mathematical Society, 2024, doi:10.1112/jlms.12991. short: J. Glas, Journal of the London Mathematical Society 110 (2024). corr_author: '1' das_tickbox: '0' date_created: 2024-10-06T22:01:11Z date_published: 2024-10-01T00:00:00Z date_updated: 2026-07-29T10:04:55Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1112/jlms.12991 external_id: arxiv: - '2306.02718' file: - access_level: open_access checksum: 11ebf690363151026ce81f91f2220855 content_type: application/pdf creator: dernst date_created: 2024-10-07T08:51:01Z date_updated: 2024-10-07T08:51:01Z file_id: '18181' file_name: 2024_JLondonMathSoc_Glas.pdf file_size: 579601 relation: main_file success: 1 file_date_updated: 2024-10-07T08:51:01Z has_accepted_license: '1' intvolume: ' 110' issue: '4' language: - iso: eng month: '10' 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 publication: Journal of the London Mathematical Society publication_identifier: eissn: - 1469-7750 issn: - 0024-6107 publication_status: published publisher: London Mathematical Society quality_controlled: '1' related_material: record: - id: '18132' relation: dissertation_contains status: public researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Rational points on complete intersections of cubic and quadric hypersurfaces over 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: 110 year: '2024' ... --- OA_place: repository _id: '18295' abstract: - lang: eng text: By developing a suitable version of the circle method, we show that the space of degree e rational curves on a smooth hypersurface of degree d has only canonical singularities provided its dimension is sufficiently large with respect to e and d. article_processing_charge: No arxiv: 1 author: - first_name: Jakob full_name: Glas, Jakob id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb last_name: Glas citation: ama: Glas J. Canonical singularities on moduli spaces of rational curves via the  circle method. arXiv. doi:10.48550/arXiv.2405.16648 apa: Glas, J. (n.d.). Canonical singularities on moduli spaces of rational curves via the  circle method. arXiv. https://doi.org/10.48550/arXiv.2405.16648 chicago: Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the  Circle Method.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2405.16648. ieee: J. Glas, “Canonical singularities on moduli spaces of rational curves via the  circle method,” arXiv. . ista: Glas J. Canonical singularities on moduli spaces of rational curves via the  circle method. arXiv, 10.48550/arXiv.2405.16648. mla: Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the  Circle Method.” ArXiv, doi:10.48550/arXiv.2405.16648. short: J. Glas, ArXiv (n.d.). corr_author: '1' das_tickbox: '0' date_created: 2024-10-10T13:15:43Z date_published: 2024-05-26T00:00:00Z date_updated: 2026-07-29T10:05:58Z day: '26' department: - _id: TiBr doi: 10.48550/arXiv.2405.16648 external_id: arxiv: - '2405.16648' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2405.16648 month: '05' oa: 1 oa_version: Preprint project: - _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3 grant_number: P36278 name: Rational curves via function field analytic number theory publication: arXiv publication_status: submitted related_material: record: - id: '19013' relation: later_version status: public - id: '18132' relation: dissertation_contains status: public researchdata_availability: no status: public supplementarymaterial: no title: Canonical singularities on moduli spaces of rational curves via the circle method 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: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2024' ... --- OA_place: repository _id: '19013' abstract: - lang: eng text: We study the singularities of the moduli space of degree e maps from smooth genus g curves to an arbitrary smooth hypersurface of low degree. For e large compared to g, we show that these moduli spaces have at worst terminal singularities. Our main approach is to study the jet schemes of these moduli spaces by developing a suitable form of the circle method. article_processing_charge: No arxiv: 1 author: - first_name: Jakob full_name: Glas, Jakob id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb last_name: Glas - first_name: 'Matthew ' full_name: 'Hase-Liu, Matthew ' last_name: Hase-Liu citation: ama: Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv. doi:10.48550/arXiv.2412.14923 apa: Glas, J., & Hase-Liu, M. (n.d.). Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv. https://doi.org/10.48550/arXiv.2412.14923 chicago: Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2412.14923. ieee: J. Glas and M. Hase-Liu, “Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method,” arXiv. . ista: Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv, 10.48550/arXiv.2412.14923. mla: Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, doi:10.48550/arXiv.2412.14923. short: J. Glas, M. Hase-Liu, ArXiv (n.d.). corr_author: '1' das_tickbox: '0' date_created: 2025-02-07T12:04:11Z date_published: 2024-12-19T00:00:00Z date_updated: 2026-07-29T10:05:58Z day: '19' department: - _id: TiBr doi: 10.48550/arXiv.2412.14923 external_id: arxiv: - '2412.14923' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2412.14923 month: '12' oa: 1 oa_version: Preprint publication: arXiv publication_status: draft related_material: record: - id: '18295' relation: earlier_version status: public researchdata_availability: no status: public supplementarymaterial: no title: Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method 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: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2024' ... --- _id: '14687' abstract: - lang: eng text: The short history of research on Li-O2 batteries has seen a remarkable number of mechanistic U-turns over the years. From the initial use of carbonate electrolytes, that were then found to be entirely unsuitable, to the belief that (su)peroxide was solely responsible for degradation, before the more reactive singlet oxygen was found to form, to the hypothesis that capacity depends on a competing surface/solution mechanism before a practically exclusive solution mechanism was identified. Herein, we argue for an ever-fresh look at the reported data without bias towards supposedly established explanations. We explain how the latest findings on rate and capacity limits, as well as the origin of side reactions, are connected via the disproportionation (DISP) step in the (dis)charge mechanism. Therefrom, directions emerge for the design of electrolytes and mediators on how to suppress side reactions and to enable high rate and high reversible capacity. acknowledgement: S.A.F. is indebted to ISTA for support. R.B.J. thanks the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101034413 for funding. B.P. thanks Alistore ERI for providing a PhD scholarship. article_number: e202316476 article_processing_charge: Yes (via OA deal) article_type: review author: - first_name: Rajesh B full_name: Jethwa, Rajesh B id: 4cc538d5-803f-11ed-ab7e-8139573aad8f last_name: Jethwa orcid: 0000-0002-0404-4356 - first_name: Soumyadip full_name: Mondal, Soumyadip id: d25d21ef-dc8d-11ea-abe3-ec4576307f48 last_name: Mondal - first_name: Bhargavi full_name: Pant, Bhargavi id: 50c64d4d-eb97-11eb-a6c2-d33e5e14f112 last_name: Pant - first_name: Stefan Alexander full_name: Freunberger, Stefan Alexander id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425 last_name: Freunberger orcid: 0000-0003-2902-5319 citation: ama: Jethwa RB, Mondal S, Pant B, Freunberger SA. To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International Edition. 2024;63(28). doi:10.1002/anie.202316476 apa: Jethwa, R. B., Mondal, S., Pant, B., & Freunberger, S. A. (2024). To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International Edition. Wiley. https://doi.org/10.1002/anie.202316476 chicago: Jethwa, Rajesh B, Soumyadip Mondal, Bhargavi Pant, and Stefan Alexander Freunberger. “To DISP or Not? The Far‐reaching Reaction Mechanisms Underpinning Lithium‐air Batteries.” Angewandte Chemie International Edition. Wiley, 2024. https://doi.org/10.1002/anie.202316476. ieee: R. B. Jethwa, S. Mondal, B. Pant, and S. A. Freunberger, “To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries,” Angewandte Chemie International Edition, vol. 63, no. 28. Wiley, 2024. ista: Jethwa RB, Mondal S, Pant B, Freunberger SA. 2024. To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International Edition. 63(28), e202316476. mla: Jethwa, Rajesh B., et al. “To DISP or Not? The Far‐reaching Reaction Mechanisms Underpinning Lithium‐air Batteries.” Angewandte Chemie International Edition, vol. 63, no. 28, e202316476, Wiley, 2024, doi:10.1002/anie.202316476. short: R.B. Jethwa, S. Mondal, B. Pant, S.A. Freunberger, Angewandte Chemie International Edition 63 (2024). corr_author: '1' date_created: 2023-12-15T16:10:13Z date_published: 2024-07-08T00:00:00Z date_updated: 2026-07-29T12:57:15Z day: '08' ddc: - '540' department: - _id: StFr - _id: GradSch doi: 10.1002/anie.202316476 ec_funded: 1 external_id: isi: - '001241932700001' pmid: - '38095355' file: - access_level: open_access checksum: fe2c23454279eb9d76ed6ca9970c21c7 content_type: application/pdf creator: dernst date_created: 2024-07-16T11:54:46Z date_updated: 2024-07-16T11:54:46Z file_id: '17261' file_name: 2024_AngChemieInt_Jethwa.pdf file_size: 4766445 relation: main_file success: 1 file_date_updated: 2024-07-16T11:54:46Z has_accepted_license: '1' intvolume: ' 63' isi: 1 issue: '28' keyword: - General Chemistry - Catalysis language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/4.0/ month: '07' oa: 1 oa_version: Published Version pmid: 1 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: Angewandte Chemie International Edition publication_identifier: eissn: - 1521-3773 issn: - 1433-7851 publication_status: published publisher: Wiley quality_controlled: '1' related_material: record: - id: '20607' relation: dissertation_contains status: public scopus_import: '1' status: public title: To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries 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: 63 year: '2024' ... --- _id: '13044' abstract: - lang: eng text: Singlet oxygen (1O2) formation is now recognised as a key aspect of non-aqueous oxygen redox chemistry. For identifying 1O2, chemical trapping via 9,10-dimethylanthracene (DMA) to form the endoperoxide (DMA-O2) has become the mainstay method due to its sensitivity, selectivity, and ease of use. While DMA has been shown to be selective for 1O2, rather than forming DMA-O2 with a wide variety of potentially reactive O-containing species, false positives might hypothetically be obtained in the presence of previously overlooked species. Here, we first give unequivocal direct spectroscopic proof by the 1O2-specific near infrared (NIR) emission at 1270 nm for the previously proposed 1O2 formation pathways, which centre around superoxide disproportionation. We then show that peroxocarbonates, common intermediates in metal-O2 and metal carbonate electrochemistry, do not produce false-positive DMA-O2. Moreover, we identify a previously unreported 1O2-forming pathway through the reaction of CO2 with superoxide. Overall, we give unequivocal proof for 1O2 formation in non-aqueous oxygen redox and show that chemical trapping with DMA is a reliable method to assess 1O2 formation. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Soumyadip full_name: Mondal, Soumyadip id: d25d21ef-dc8d-11ea-abe3-ec4576307f48 last_name: Mondal - first_name: Rajesh B full_name: Jethwa, Rajesh B id: 4cc538d5-803f-11ed-ab7e-8139573aad8f last_name: Jethwa orcid: 0000-0002-0404-4356 - first_name: Bhargavi full_name: Pant, Bhargavi id: 50c64d4d-eb97-11eb-a6c2-d33e5e14f112 last_name: Pant - first_name: Robert full_name: Hauschild, Robert id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87 last_name: Hauschild orcid: 0000-0001-9843-3522 - first_name: Stefan Alexander full_name: Freunberger, Stefan Alexander id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425 last_name: Freunberger orcid: 0000-0003-2902-5319 citation: ama: 'Mondal S, Jethwa RB, Pant B, Hauschild R, Freunberger SA. Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. Faraday Discussions. 2024;248:175-189. doi:10.1039/d3fd00088e' apa: 'Mondal, S., Jethwa, R. B., Pant, B., Hauschild, R., & Freunberger, S. A. (2024). Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. Faraday Discussions. Royal Society of Chemistry. https://doi.org/10.1039/d3fd00088e' chicago: 'Mondal, Soumyadip, Rajesh B Jethwa, Bhargavi Pant, Robert Hauschild, and Stefan Alexander Freunberger. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.” Faraday Discussions. Royal Society of Chemistry, 2024. https://doi.org/10.1039/d3fd00088e.' ieee: 'S. Mondal, R. B. Jethwa, B. Pant, R. Hauschild, and S. A. Freunberger, “Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes,” Faraday Discussions, vol. 248. Royal Society of Chemistry, pp. 175–189, 2024.' ista: 'Mondal S, Jethwa RB, Pant B, Hauschild R, Freunberger SA. 2024. Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. Faraday Discussions. 248, 175–189.' mla: 'Mondal, Soumyadip, et al. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.” Faraday Discussions, vol. 248, Royal Society of Chemistry, 2024, pp. 175–89, doi:10.1039/d3fd00088e.' short: S. Mondal, R.B. Jethwa, B. Pant, R. Hauschild, S.A. Freunberger, Faraday Discussions 248 (2024) 175–189. corr_author: '1' date_created: 2023-05-22T06:53:34Z date_published: 2024-01-01T00:00:00Z date_updated: 2026-07-29T12:57:14Z day: '01' ddc: - '540' department: - _id: StFr - _id: Bio doi: 10.1039/d3fd00088e external_id: isi: - '001070423500001' pmid: - '37750344' file: - access_level: open_access checksum: 6515a227ed3e8942496fe6a1feeffd18 content_type: application/pdf creator: dernst date_created: 2024-07-16T07:46:39Z date_updated: 2024-07-16T07:46:39Z file_id: '17249' file_name: 2024_FaradayDiscussions_Mondal.pdf file_size: 1303733 relation: main_file success: 1 file_date_updated: 2024-07-16T07:46:39Z has_accepted_license: '1' intvolume: ' 248' isi: 1 keyword: - Physical and Theoretical Chemistry language: - iso: eng license: https://creativecommons.org/licenses/by-nc/3.0/ month: '01' oa: 1 oa_version: Published Version page: 175-189 pmid: 1 publication: Faraday Discussions publication_identifier: eissn: - 1364-5498 issn: - 1359-6640 publication_status: published publisher: Royal Society of Chemistry quality_controlled: '1' related_material: record: - id: '20607' relation: dissertation_contains status: public scopus_import: '1' status: public title: 'Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes' tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/3.0/legalcode name: Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0) short: CC BY-NC (3.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 248 year: '2024' ... --- OA_place: repository OA_type: green _id: '20071' abstract: - lang: eng text: Farkas established that a system of linear inequalities has a solution if and only if we cannot obtain a contradiction by taking a linear combination of the inequalities. We state and formally prove several Farkas-like theorems over linearly ordered fields in Lean 4. Furthermore, we extend duality theory to the case when some coefficients are allowed to take "infinite values". acknowledgement: We would like to thank David Bartl and Jasmin Blanchette for frequent consultations. We would also like to express gratitude to Andrew Yang for the proof of Finset.univ sum of zero when not and to Henrik B¨oving for a help with generalization from extended rationals to extended linearly ordered fields. We would also like to acknowledge Antoine Chambert-Loir, Apurva Nakade, Ya¨el Dillies, Richard Copley, Edward van de Meent, Markus Himmel, Mario Carneiro, and Kevin Buzzard. article_number: '2409.08119' article_processing_charge: No arxiv: 1 author: - first_name: Martin full_name: Dvorak, Martin id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425 last_name: Dvorak orcid: 0000-0001-5293-214X - first_name: Vladimir full_name: Kolmogorov, Vladimir id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87 last_name: Kolmogorov citation: ama: Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally  verified. arXiv. doi:10.48550/arXiv.2409.08119 apa: Dvorak, M., & Kolmogorov, V. (n.d.). Duality theory in linear optimization and its extensions -- formally  verified. arXiv. https://doi.org/10.48550/arXiv.2409.08119 chicago: Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally  Verified.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.08119. ieee: M. Dvorak and V. Kolmogorov, “Duality theory in linear optimization and its extensions -- formally  verified,” arXiv. . ista: Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally  verified. arXiv, 2409.08119. mla: Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally  Verified.” ArXiv, 2409.08119, doi:10.48550/arXiv.2409.08119. short: M. Dvorak, V. Kolmogorov, ArXiv (n.d.). corr_author: '1' date_created: 2025-07-23T11:21:52Z date_published: 2024-09-12T00:00:00Z date_updated: 2026-07-29T12:56:51Z day: '12' department: - _id: GradSch - _id: VlKo doi: 10.48550/arXiv.2409.08119 external_id: arxiv: - '2409.08119' keyword: - Farkas lemma - linear programming - extended reals - calculus of inductive constructions language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2409.08119 month: '09' oa: 1 oa_version: Preprint publication: arXiv publication_status: draft related_material: link: - description: full version of all definitions, statement, and proofs relation: software url: https://github.com/madvorak/duality/tree/v3.2 record: - id: '22607' relation: later_version status: public - id: '21393' relation: dissertation_contains status: public status: public title: Duality theory in linear optimization and its extensions -- formally verified type: preprint user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '18307' abstract: - lang: eng text: Vaccination is the most effective tool to control infectious diseases. However, the evolution of vaccine resistance, exemplified by vaccine resistance in SARS-CoV-2, remains a concern. Here, we model complex vaccination strategies against a pathogen with multiple epitopes—molecules targeted by the vaccine. We found that a vaccine targeting one epitope was ineffective in preventing vaccine escape. Vaccine resistance in highly infectious pathogens was prevented by the full-epitope vaccine, that is, one targeting all available epitopes, but only when the rate of pathogen evolution was low. Strikingly, a bet-hedging strategy of random administration of vaccines targeting different epitopes was the most effective in preventing vaccine resistance in pathogens with the low rate of infection and high rate of evolution. Thus, complex vaccination strategies, when biologically feasible, may be preferable to the currently used single-vaccine approaches for long-term control of disease outbreaks, especially when applied to livestock with near 100% vaccination rates. acknowledgement: We thank Raimundo Julian Saona Urmeneta, Maike Morrison, Sergey Kryazhimskiy, Hiroki Ishikawa, Simone Pigolotti, and Shingo Miyauchi for fruitful discussions. We also thank the participants of the FRISBI seminar at ISTA for useful comments. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Simon full_name: Rella, Simon id: B4765ACA-AA38-11E9-AC9A-0930E6697425 last_name: Rella - first_name: Yuliya A. full_name: Kulikova, Yuliya A. last_name: Kulikova - first_name: Aygul full_name: Minnegalieva, Aygul id: 87DF77F0-1D9A-11EA-B6AE-CE443DDC885E last_name: Minnegalieva - first_name: Fyodor full_name: Kondrashov, Fyodor id: 44FDEF62-F248-11E8-B48F-1D18A9856A87 last_name: Kondrashov orcid: 0000-0001-8243-4694 citation: ama: 'Rella S, Kulikova YA, Minnegalieva A, Kondrashov F. Complex vaccination strategies prevent the emergence of vaccine resistance. Evolution: International journal of organic evolution. 2024;78(10):1722-1738. doi:10.1093/evolut/qpae106' apa: 'Rella, S., Kulikova, Y. A., Minnegalieva, A., & Kondrashov, F. (2024). Complex vaccination strategies prevent the emergence of vaccine resistance. Evolution: International Journal of Organic Evolution. Oxford University Press. https://doi.org/10.1093/evolut/qpae106' chicago: 'Rella, Simon, Yuliya A. Kulikova, Aygul Minnegalieva, and Fyodor Kondrashov. “Complex Vaccination Strategies Prevent the Emergence of Vaccine Resistance.” Evolution: International Journal of Organic Evolution. Oxford University Press, 2024. https://doi.org/10.1093/evolut/qpae106.' ieee: 'S. Rella, Y. A. Kulikova, A. Minnegalieva, and F. Kondrashov, “Complex vaccination strategies prevent the emergence of vaccine resistance,” Evolution: International journal of organic evolution, vol. 78, no. 10. Oxford University Press, pp. 1722–1738, 2024.' ista: 'Rella S, Kulikova YA, Minnegalieva A, Kondrashov F. 2024. Complex vaccination strategies prevent the emergence of vaccine resistance. Evolution: International journal of organic evolution. 78(10), 1722–1738.' mla: 'Rella, Simon, et al. “Complex Vaccination Strategies Prevent the Emergence of Vaccine Resistance.” Evolution: International Journal of Organic Evolution, vol. 78, no. 10, Oxford University Press, 2024, pp. 1722–38, doi:10.1093/evolut/qpae106.' short: 'S. Rella, Y.A. Kulikova, A. Minnegalieva, F. Kondrashov, Evolution: International Journal of Organic Evolution 78 (2024) 1722–1738.' corr_author: '1' date_created: 2024-10-13T22:01:50Z date_published: 2024-10-01T00:00:00Z date_updated: 2026-07-29T12:57:48Z day: '01' ddc: - '570' department: - _id: GaTk doi: 10.1093/evolut/qpae106 external_id: isi: - '001286581900001' pmid: - '38990788' file: - access_level: open_access checksum: 5c6e8475bb88b07d424a5130d5e91e74 content_type: application/pdf creator: dernst date_created: 2024-10-21T09:34:50Z date_updated: 2024-10-21T09:34:50Z file_id: '18453' file_name: 2024_Evolution_Rella.pdf file_size: 29360811 relation: main_file success: 1 file_date_updated: 2024-10-21T09:34:50Z has_accepted_license: '1' intvolume: ' 78' isi: 1 issue: '10' language: - iso: eng month: '10' oa: 1 oa_version: Published Version page: 1722-1738 pmid: 1 publication: 'Evolution: International journal of organic evolution' publication_identifier: eissn: - 1558-5646 publication_status: published publisher: Oxford University Press quality_controlled: '1' related_material: link: - relation: software url: https://github.com/Simon-Re/complex-vaccination record: - id: '14862' relation: research_data status: public - id: '20811' relation: dissertation_contains status: public scopus_import: '1' status: public title: Complex vaccination strategies prevent the emergence of vaccine resistance 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: 78 year: '2024' ...