--- OA_place: repository OA_type: green _id: '21768' abstract: - lang: eng text: Let F∈Z[x1,…,xn] be a homogeneous form of degree d≥2, and V∗F the singular locus of the hypersurface {x∈AnC:F(x)=0}. A longstanding result of Birch states that there is a non-trivial integral solution to the equation F(x1,…,xn)=0 provided n>dimV∗F+(d−1)2d, and there is a non-singular solution in R and Qp for all primes p. We give a different formulation of this result. More precisely, we replace dimV∗F with a quantity HF defined in terms of the Hessian matrix of F. This quantity satisfies 0≤HF≤dimV∗F; therefore, we improve on the aforementioned result of Birch if HFActa Arithmetica. 2025;221(2):141-151. doi:10.4064/aa241029-19-8 apa: Yamagishi, S. (2025). Birch’s theorem on forms in many variables with a Hessian condition. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa241029-19-8 chicago: Yamagishi, Shuntaro. “Birch’s Theorem on Forms in Many Variables with a Hessian Condition.” Acta Arithmetica. Instytut Matematyczny, 2025. https://doi.org/10.4064/aa241029-19-8. ieee: S. Yamagishi, “Birch’s theorem on forms in many variables with a Hessian condition,” Acta Arithmetica, vol. 221, no. 2. Instytut Matematyczny, pp. 141–151, 2025. ista: Yamagishi S. 2025. Birch’s theorem on forms in many variables with a Hessian condition. Acta Arithmetica. 221(2), 141–151. mla: Yamagishi, Shuntaro. “Birch’s Theorem on Forms in Many Variables with a Hessian Condition.” Acta Arithmetica, vol. 221, no. 2, Instytut Matematyczny, 2025, pp. 141–51, doi:10.4064/aa241029-19-8. short: S. Yamagishi, Acta Arithmetica 221 (2025) 141–151. corr_author: '1' das_tickbox: '0' date_created: 2026-04-26T22:01:48Z date_published: 2025-10-28T00:00:00Z date_updated: 2026-07-16T09:04:43Z day: '28' department: - _id: TiBr doi: 10.4064/aa241029-19-8 external_id: arxiv: - '2304.02620' fulldoi: https://doi.org/10.4064/aa241029-19-8 intvolume: ' 221' issue: '2' keyword: - Diophantine equations - homogeneous forms language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2304.02620 month: '10' oa: 1 oa_version: Preprint page: 141-151 project: - _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3 grant_number: P36278 name: Rational curves via function field analytic number theory publication: Acta Arithmetica publication_identifier: eissn: - 1730-6264 issn: - 0065-1036 publication_status: published publisher: Instytut Matematyczny quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Birch’s theorem on forms in many variables with a Hessian condition type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 221 year: '2025' ... --- DOAJ_listed: '1' OA_place: publisher OA_type: diamond _id: '21266' abstract: - lang: eng text: "For a given elliptic curve E in short Weierstrass form, we show that almost all quadratic twists E \r\nD have no integral points, as D ranges over square-free integers ordered by size. Our result is conditional on a weak form of the Hall–Lang conjecture in the case that E has partial 2-torsion. The proof uses a correspondence of Mordell and the reduction theory of binary quartic forms in order to transfer the problem to counting rational points of bounded height on a certain singular cubic surface, together with extensive use of cancellation in character sum estimates, drawn from Heath-Brown’s analysis of Selmer group statistics for the congruent number curve." acknowledgement: The authors are grateful to Roger Heath-Brown and to the anonymous referees for useful comments. The first author was supported by an FWF grant (DOI 10.55776/P36278). 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: Yik Tung full_name: Chan, Yik Tung id: c4c0afc8-9262-11ed-9231-d8b0bc743af1 last_name: Chan orcid: 0000-0001-8467-4106 citation: ama: Browning TD, Chan S. Almost all quadratic twists of an elliptic curve have no integral points. Journal of the European Mathematical Society. 2025. doi:10.4171/jems/1704 apa: Browning, T. D., & Chan, S. (2025). Almost all quadratic twists of an elliptic curve have no integral points. Journal of the European Mathematical Society. EMS Press. https://doi.org/10.4171/jems/1704 chicago: Browning, Timothy D, and Stephanie Chan. “Almost All Quadratic Twists of an Elliptic Curve Have No Integral Points.” Journal of the European Mathematical Society. EMS Press, 2025. https://doi.org/10.4171/jems/1704. ieee: T. D. Browning and S. Chan, “Almost all quadratic twists of an elliptic curve have no integral points,” Journal of the European Mathematical Society. EMS Press, 2025. ista: Browning TD, Chan S. 2025. Almost all quadratic twists of an elliptic curve have no integral points. Journal of the European Mathematical Society. mla: Browning, Timothy D., and Stephanie Chan. “Almost All Quadratic Twists of an Elliptic Curve Have No Integral Points.” Journal of the European Mathematical Society, EMS Press, 2025, doi:10.4171/jems/1704. short: T.D. Browning, S. Chan, Journal of the European Mathematical Society (2025). corr_author: '1' das_tickbox: '0' date_created: 2026-02-17T07:46:26Z date_published: 2025-09-17T00:00:00Z date_updated: 2026-07-16T09:00:02Z day: '17' ddc: - '510' department: - _id: TiBr doi: 10.4171/jems/1704 external_id: arxiv: - '2401.04375' fulldoi: https://doi.org/10.4171/jems/1704 language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.4171/JEMS/1704 month: '09' 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 European Mathematical Society publication_identifier: eissn: - 1435-9863 issn: - 1435-9855 publication_status: epub_ahead publisher: EMS Press quality_controlled: '1' researchdata_availability: no status: public supplementarymaterial: no title: Almost all quadratic twists of an elliptic curve have no integral points type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2025' ... --- OA_place: repository OA_type: green _id: '21265' abstract: - lang: eng text: We explain how the (shifted) Ratios Conjecture for $L(s,\chi )$ would extend a randomization argument of Harper from a conductor-limited range to an unlimited range of “beyond square-root cancellation” for character twists of the Liouville function. As a corollary, the Liouville function would have nontrivial cancellation in arithmetic progressions of modulus just exceeding the well-known square-root barrier. Morally, the paper passes from random matrices to random multiplicative functions. acknowledgement: The first author is supported by the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 101034413. The second author is supported by a Simons Junior Fellowship from Simons Foundation. We thank Paul Bourgade and Kannan Soundararajan for discussions on random matrices and probability, Alexandra Florea for helpful comments on the Ratios Conjecture, and Joni Teräväinen for providing several references. We are also grateful to Alexandra Florea, Adam Harper, Joni Teräväinen, and the referee for helpful comments on earlier drafts. article_number: rnaf279 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. Harper’s beyond square-root conjecture. International Mathematics Research Notices. 2025;2025(18). doi:10.1093/imrn/rnaf279 apa: Wang, V., & Xu, M. W. (2025). Harper’s beyond square-root conjecture. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnaf279 chicago: Wang, Victor, and Max Wenqiang Xu. “Harper’s beyond Square-Root Conjecture.” International Mathematics Research Notices. Oxford University Press, 2025. https://doi.org/10.1093/imrn/rnaf279. ieee: V. Wang and M. W. Xu, “Harper’s beyond square-root conjecture,” International Mathematics Research Notices, vol. 2025, no. 18. Oxford University Press, 2025. ista: Wang V, Xu MW. 2025. Harper’s beyond square-root conjecture. International Mathematics Research Notices. 2025(18), rnaf279. mla: Wang, Victor, and Max Wenqiang Xu. “Harper’s beyond Square-Root Conjecture.” International Mathematics Research Notices, vol. 2025, no. 18, rnaf279, Oxford University Press, 2025, doi:10.1093/imrn/rnaf279. short: V. Wang, M.W. Xu, International Mathematics Research Notices 2025 (2025). das_tickbox: '0' date_created: 2026-02-17T07:45:45Z date_published: 2025-09-01T00:00:00Z date_updated: 2026-07-16T08:57:40Z day: '01' department: - _id: TiBr doi: 10.1093/imrn/rnaf279 ec_funded: 1 external_id: arxiv: - '2405.04094' fulldoi: https://doi.org/10.1093/imrn/rnaf279 intvolume: ' 2025' issue: '18' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2405.04094 month: '09' 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: 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: Harper’s beyond square-root conjecture type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 2025 year: '2025' ... --- OA_place: publisher OA_type: diamond PlanS_conform: '1' _id: '19054' abstract: - lang: eng text: "This work concerns asymptotical stabilisation phenomena occurring in the moduli space of sections of certain algebraic families over a smooth projective curve, whenever the generic fibre of the family is a smooth projective Fano variety, or not far from being Fano.\r\n We describe the expected behaviour of the class, in a ring of motivic integration, of the moduli space of sections of given numerical class. Up to an adequate normalisation, it should converge, when the class of the sections goes arbitrarily far from the boundary of the dual of the effective cone, to an effective element given by a motivic Euler product. Such a principle can be seen as an analogue for rational curves of the Batyrev-Manin-Peyre principle for rational points.\r\n The central tool of this article is the property of equidistribution of curves. We show that this notion does not depend on the choice of a model of the generic fibre, and that equidistribution of curves holds for smooth projective split toric varieties. As an application, we study the Batyrev-Manin-Peyre principle for curves on a certain kind of twisted products." acknowledgement: I am very grateful to my Ph.D. advisor Emmanuel Peyre for all the remarks and suggestions he made during the writing of this article. I warmly thank Margaret Bilu and Tim Browning for some valuable comments they made on a preliminary version of this work. I would like to thank David Bourqui as well for several helpful conversations. Finally, I thank the anonymous referee for their very careful reading and their numerous comments and suggestions which helped me a lot in improving the exposition, besides fixing several typos, and Elizabeth Weaver for the final editing work. During the revision process of this work, the author received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Loïs full_name: Faisant, Loïs id: 26ca6926-5797-11ee-9232-f8b51bd19631 last_name: Faisant citation: ama: Faisant L. Motivic distribution of rational curves and twisted products of toric varieties. Algebra & Number Theory. 2025;19:883-965. doi:10.2140/ant.2025.19.883 apa: Faisant, L. (2025). Motivic distribution of rational curves and twisted products of toric varieties. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2025.19.883 chicago: Faisant, Loïs. “Motivic Distribution of Rational Curves and Twisted Products of Toric Varieties.” Algebra & Number Theory. Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/ant.2025.19.883. ieee: L. Faisant, “Motivic distribution of rational curves and twisted products of toric varieties,” Algebra & Number Theory, vol. 19. Mathematical Sciences Publishers, pp. 883–965, 2025. ista: Faisant L. 2025. Motivic distribution of rational curves and twisted products of toric varieties. Algebra & Number Theory. 19, 883–965. mla: Faisant, Loïs. “Motivic Distribution of Rational Curves and Twisted Products of Toric Varieties.” Algebra & Number Theory, vol. 19, Mathematical Sciences Publishers, 2025, pp. 883–965, doi:10.2140/ant.2025.19.883. short: L. Faisant, Algebra & Number Theory 19 (2025) 883–965. corr_author: '1' das_tickbox: '0' date_created: 2025-02-18T13:33:14Z date_published: 2025-04-22T00:00:00Z date_updated: 2026-07-16T09:23:01Z day: '22' ddc: - '510' department: - _id: TiBr doi: 10.2140/ant.2025.19.883 ec_funded: 1 external_id: arxiv: - '2302.07339' file: - access_level: open_access checksum: 56299f55682528a7cd0136497ce8b383 content_type: application/pdf creator: dernst date_created: 2026-02-17T13:17:00Z date_updated: 2026-02-17T13:17:00Z file_id: '21307' file_name: 2025_AlgebraNumberTheory_Faisant.pdf file_size: 2034433 relation: main_file success: 1 file_date_updated: 2026-02-17T13:17:00Z fulldoi: https://doi.org/10.2140/ant.2025.19.883 has_accepted_license: '1' intvolume: ' 19' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 883-965 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: Algebra & Number Theory publication_identifier: eissn: - 1944-7833 publication_status: published publisher: Mathematical Sciences Publishers quality_controlled: '1' researchdata_availability: no status: public supplementarymaterial: no title: Motivic distribution of rational curves and twisted products of toric varieties 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: 19 year: '2025' ... --- OA_place: publisher OA_type: hybrid PlanS_conform: '1' _id: '19363' abstract: - lang: eng text: For a general family of non-negative functions matching upper and lower bounds are established for their average over the values of any equidistributed sequence. article_processing_charge: Yes (in subscription journal) article_type: original 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. Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. 2025;273:1-36. doi:10.1016/j.jnt.2025.01.005 apa: Chan, S., Koymans, P., Pagano, C., & Sofos, E. (2025). Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2025.01.005 chicago: Chan, Stephanie, Peter Koymans, Carlo Pagano, and Efthymios Sofos. “Averages of Multiplicative Functions along Equidistributed Sequences.” Journal of Number Theory. Elsevier, 2025. https://doi.org/10.1016/j.jnt.2025.01.005. ieee: S. Chan, P. Koymans, C. Pagano, and E. Sofos, “Averages of multiplicative functions along equidistributed sequences,” Journal of Number Theory, vol. 273. Elsevier, pp. 1–36, 2025. ista: Chan S, Koymans P, Pagano C, Sofos E. 2025. Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. 273, 1–36. mla: Chan, Stephanie, et al. “Averages of Multiplicative Functions along Equidistributed Sequences.” Journal of Number Theory, vol. 273, Elsevier, 2025, pp. 1–36, doi:10.1016/j.jnt.2025.01.005. short: S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36. corr_author: '1' das_tickbox: '1' dataavailabilitystatement: No data was used for the research described in the article. date_created: 2025-03-09T23:01:26Z date_published: 2025-08-01T00:00:00Z date_updated: 2026-07-16T09:26:47Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1016/j.jnt.2025.01.005 external_id: isi: - '001444208500001' file: - access_level: open_access checksum: 752c407eb186d391380b10a7505f66cf content_type: application/pdf creator: dernst date_created: 2025-12-30T08:05:42Z date_updated: 2025-12-30T08:05:42Z file_id: '20889' file_name: 2025_JourNumberTheory_Chan.pdf file_size: 685204 relation: main_file success: 1 file_date_updated: 2025-12-30T08:05:42Z fulldoi: https://doi.org/10.1016/j.jnt.2025.01.005 has_accepted_license: '1' intvolume: ' 273' isi: 1 language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: 1-36 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: Averages of multiplicative functions along equidistributed sequences 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: 273 year: '2025' ... --- 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. arXiv. doi:10.48550/ARXIV.2502.11704 apa: Faisant, L. (n.d.). Motivic counting of rational curves with tangency conditions via universal torsors. arXiv. https://doi.org/10.48550/ARXIV.2502.11704 chicago: Faisant, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions via Universal Torsors.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2502.11704. ieee: L. Faisant, “Motivic counting of rational curves with tangency conditions via universal torsors,” arXiv. . 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.” ArXiv, 2502.11704, doi:10.48550/ARXIV.2502.11704. 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' fulldoi: https://doi.org/10.48550/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]. Mathematische Zeitschrift. 2025;310(4). doi:10.1007/s00209-025-03765-z apa: Browning, T. D., Glas, J., & Wang, V. (2025). Optimal sums of three cubes in Fq[t]. Mathematische Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-025-03765-z chicago: Browning, Timothy D, Jakob Glas, and Victor Wang. “Optimal Sums of Three Cubes in Fq[T].” Mathematische Zeitschrift. Springer Nature, 2025. https://doi.org/10.1007/s00209-025-03765-z. ieee: T. D. Browning, J. Glas, and V. Wang, “Optimal sums of three cubes in Fq[t],” Mathematische Zeitschrift, 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].” Mathematische Zeitschrift, vol. 310, no. 4, 65, Springer Nature, 2025, doi:10.1007/s00209-025-03765-z. 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 fulldoi: https://doi.org/10.1007/s00209-025-03765-z 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. Advances in Mathematics. 2025;475. doi:10.1016/j.aim.2025.110341 apa: Wang, V. (2025). Asymptotic growth of translation-dilation orbits. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2025.110341 chicago: Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” Advances in Mathematics. Elsevier, 2025. https://doi.org/10.1016/j.aim.2025.110341. ieee: V. Wang, “Asymptotic growth of translation-dilation orbits,” Advances in Mathematics, 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.” Advances in Mathematics, vol. 475, 110341, Elsevier, 2025, doi:10.1016/j.aim.2025.110341. 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 fulldoi: https://doi.org/10.1016/j.aim.2025.110341 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. Journal of the Association for Mathematical Research. 2025;3(1):1-26. doi:10.56994/JAMR.003.001.001 apa: Wang, V. (2025). Prime Hasse principles via diophantine second moments. Journal of the Association for Mathematical Research. Association for Mathematical Research. https://doi.org/10.56994/JAMR.003.001.001 chicago: Wang, Victor. “Prime Hasse Principles via Diophantine Second Moments.” Journal of the Association for Mathematical Research. Association for Mathematical Research, 2025. https://doi.org/10.56994/JAMR.003.001.001. ieee: V. Wang, “Prime Hasse principles via diophantine second moments,” Journal of the Association for Mathematical Research, 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.” Journal of the Association for Mathematical Research, vol. 3, no. 1, Association for Mathematical Research, 2025, pp. 1–26, doi:10.56994/JAMR.003.001.001. 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 fulldoi: https://doi.org/10.56994/JAMR.003.001.001 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. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2025. doi:10.1017/prm.2025.7' apa: '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. Cambridge University Press. https://doi.org/10.1017/prm.2025.7' chicago: 'Ballini, Francesco, Davide Lombardo, and Matteo Verzobio. “On the L-Polynomials of Curves over Finite Fields.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press, 2025. https://doi.org/10.1017/prm.2025.7.' ieee: 'F. Ballini, D. Lombardo, and M. Verzobio, “On the L-polynomials of curves over finite fields,” Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 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.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Cambridge University Press, 2025, doi:10.1017/prm.2025.7.' 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' fulldoi: https://doi.org/10.1017/prm.2025.7 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. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2025. doi:10.2422/2036-2145.202412_006 apa: 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. Scuola Normale Superiore - Edizioni della Normale. https://doi.org/10.2422/2036-2145.202412_006 chicago: Chan, Stephanie, Peter Koymans, Carlo Pagano, and Efthymios Sofos. “6-Torision and Integral Points on Quartic Threefolds.” Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale, 2025. https://doi.org/10.2422/2036-2145.202412_006. ieee: S. Chan, P. Koymans, C. Pagano, and E. Sofos, “6-torision and integral points on quartic threefolds,” Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 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.” Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze, 18, Scuola Normale Superiore - Edizioni della Normale, 2025, doi:10.2422/2036-2145.202412_006. 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' fulldoi: https://doi.org/10.2422/2036-2145.202412_006 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. International Mathematics Research Notices. 2025;2025(16). doi:10.1093/imrn/rnaf249 apa: Verzobio, M. (2025). Counting rational points on smooth hypersurfaces with high degree. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnaf249 chicago: Verzobio, Matteo. “Counting Rational Points on Smooth Hypersurfaces with High Degree.” International Mathematics Research Notices. Oxford University Press, 2025. https://doi.org/10.1093/imrn/rnaf249. ieee: M. Verzobio, “Counting rational points on smooth hypersurfaces with high degree,” International Mathematics Research Notices, 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.” International Mathematics Research Notices, vol. 2025, no. 16, rnaf249, Oxford University Press, 2025, doi:10.1093/imrn/rnaf249. 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 fulldoi: https://doi.org/10.1093/imrn/rnaf249 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. Mathematische Annalen. 2025;393:1863–1880. doi:10.1007/s00208-025-03285-5 apa: Browning, T. D., Sawin, W., & Wang, V. (2025). Pairs of commuting integer matrices. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-025-03285-5 chicago: Browning, Timothy D, Will Sawin, and Victor Wang. “Pairs of Commuting Integer Matrices.” Mathematische Annalen. Springer Nature, 2025. https://doi.org/10.1007/s00208-025-03285-5. ieee: T. D. Browning, W. Sawin, and V. Wang, “Pairs of commuting integer matrices,” Mathematische Annalen, 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.” Mathematische Annalen, vol. 393, Springer Nature, 2025, pp. 1863–1880, doi:10.1007/s00208-025-03285-5. 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 fulldoi: https://doi.org/10.1007/s00208-025-03285-5 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. Research in Number Theory. 2025;11(4). doi:10.1007/s40993-025-00671-5 apa: Rome, N., & Yamagishi, S. (2025). On the existence of magic squares of powers. Research in Number Theory. Springer Nature. https://doi.org/10.1007/s40993-025-00671-5 chicago: Rome, Nick, and Shuntaro Yamagishi. “On the Existence of Magic Squares of Powers.” Research in Number Theory. Springer Nature, 2025. https://doi.org/10.1007/s40993-025-00671-5. ieee: N. Rome and S. Yamagishi, “On the existence of magic squares of powers,” Research in Number Theory, 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.” Research in Number Theory, vol. 11, no. 4, 91, Springer Nature, 2025, doi:10.1007/s40993-025-00671-5. 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 fulldoi: https://doi.org/10.1007/s40993-025-00671-5 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. arXiv. doi:10.48550/ARXIV.2511.10398 apa: Henheik, S. J., Kaloshin, V., Li, Y., & Vig, A. (n.d.). Spectral rigidity of Liouville tori. arXiv. https://doi.org/10.48550/ARXIV.2511.10398 chicago: Henheik, Sven Joscha, Vadim Kaloshin, Yunzhe Li, and Amir Vig. “Spectral Rigidity of Liouville Tori.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2511.10398. ieee: S. J. Henheik, V. Kaloshin, Y. Li, and A. Vig, “Spectral rigidity of Liouville tori,” arXiv. . ista: Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. arXiv, 10.48550/ARXIV.2511.10398. mla: Henheik, Sven Joscha, et al. “Spectral Rigidity of Liouville Tori.” ArXiv, doi:10.48550/ARXIV.2511.10398. 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' fulldoi: https://doi.org/10.48550/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. arXiv. doi:10.48550/ARXIV.2512.03865 apa: Li, Y. (n.d.). Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv. https://doi.org/10.48550/ARXIV.2512.03865 chicago: Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2512.03865. ieee: Y. Li, “Deformations of the standard map with prescribed actions and Lyapunov exponents,” arXiv. . ista: Li Y. Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv, 10.48550/ARXIV.2512.03865. mla: Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” ArXiv, doi:10.48550/ARXIV.2512.03865. 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' fulldoi: https://doi.org/10.48550/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: 23rd International Conference on Theory of Cryptography. Vol 16271. Springer Nature; 2025:171-202. doi:10.1007/978-3-032-12290-2_6' apa: 'Dujmovic, J., Günther, C. U., & Pietrzak, K. Z. (2025). Space-deniable proofs. In 23rd International Conference on Theory of Cryptography (Vol. 16271, pp. 171–202). Aarhus, Denmark: Springer Nature. https://doi.org/10.1007/978-3-032-12290-2_6' chicago: Dujmovic, Jesko, Christoph Ullrich Günther, and Krzysztof Z Pietrzak. “Space-Deniable Proofs.” In 23rd International Conference on Theory of Cryptography, 16271:171–202. Springer Nature, 2025. https://doi.org/10.1007/978-3-032-12290-2_6. ieee: J. Dujmovic, C. U. Günther, and K. Z. Pietrzak, “Space-deniable proofs,” in 23rd International Conference on Theory of Cryptography, 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.” 23rd International Conference on Theory of Cryptography, vol. 16271, Springer Nature, 2025, pp. 171–202, doi:10.1007/978-3-032-12290-2_6. 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 fulldoi: https://doi.org/10.1007/978-3-032-12290-2_6 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. Astronomy & Astrophysics. 2025;704. doi:10.1051/0004-6361/202557247 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. Astronomy & Astrophysics. EDP Sciences. https://doi.org/10.1051/0004-6361/202557247 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.” Astronomy & Astrophysics. EDP Sciences, 2025. https://doi.org/10.1051/0004-6361/202557247. ieee: J. S. G. Mombarg et al., “Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? Implications for measurements of rotation and internal magnetic fields,” Astronomy & Astrophysics, 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 & 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.” Astronomy & Astrophysics, vol. 704, A336, EDP Sciences, 2025, doi:10.1051/0004-6361/202557247. 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 & 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 fulldoi: https://doi.org/10.1051/0004-6361/202557247 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: 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. Physical Review B. 2025;112(21). doi:10.1103/bdd1-b8ys 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. Physical Review B. American Physical Society. https://doi.org/10.1103/bdd1-b8ys 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.” Physical Review B. American Physical Society, 2025. https://doi.org/10.1103/bdd1-b8ys. ieee: S. Mandal et al., “Cavity based sensing of antiferromagnetic canting and nonzero-momentum spin waves in a van der Waals cavity-magnon-polariton system,” Physical Review B, 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.” Physical Review B, vol. 112, no. 21, 214443, American Physical Society, 2025, doi:10.1103/bdd1-b8ys. 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' fulldoi: https://doi.org/10.1103/bdd1-b8ys 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: 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:10.5281/ZENODO.17580178 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. https://doi.org/10.5281/ZENODO.17580178 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. https://doi.org/10.5281/ZENODO.17580178. ieee: J. Mombarg et al., “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, 10.5281/ZENODO.17580178. mla: Mombarg, Joey, et al. Is a 1D Perturbative Method Sufficient for Asteroseismic Modelling of β Cephei Pulsators? Zenodo, 2025, doi:10.5281/ZENODO.17580178. 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 fulldoi: https://doi.org/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' ...