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We are also grateful to Alexandra Florea, Adam Harper, Joni Teräväinen, and the referee for helpful comments on earlier drafts.","citation":{"mla":"Wang, Victor, and Max Wenqiang Xu. “Harper’s beyond Square-Root Conjecture.” <i>International Mathematics Research Notices</i>, vol. 2025, no. 18, rnaf279, Oxford University Press, 2025, doi:<a href=\"https://doi.org/10.1093/imrn/rnaf279\">10.1093/imrn/rnaf279</a>.","short":"V. Wang, M.W. Xu, International Mathematics Research Notices 2025 (2025).","chicago":"Wang, Victor, and Max Wenqiang Xu. “Harper’s beyond Square-Root Conjecture.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2025. <a href=\"https://doi.org/10.1093/imrn/rnaf279\">https://doi.org/10.1093/imrn/rnaf279</a>.","ieee":"V. Wang and M. W. Xu, “Harper’s beyond square-root conjecture,” <i>International Mathematics Research Notices</i>, vol. 2025, no. 18. Oxford University Press, 2025.","apa":"Wang, V., &#38; Xu, M. W. (2025). Harper’s beyond square-root conjecture. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnaf279\">https://doi.org/10.1093/imrn/rnaf279</a>","ista":"Wang V, Xu MW. 2025. Harper’s beyond square-root conjecture. International Mathematics Research Notices. 2025(18), rnaf279.","ama":"Wang V, Xu MW. Harper’s beyond square-root conjecture. <i>International Mathematics Research Notices</i>. 2025;2025(18). doi:<a href=\"https://doi.org/10.1093/imrn/rnaf279\">10.1093/imrn/rnaf279</a>"},"year":"2025","arxiv":1,"das_tickbox":"0","day":"01","oa_version":"Preprint","status":"public","_id":"21265","researchdata_availability":"no","OA_place":"repository","article_type":"original","fulldoi":"https://doi.org/10.1093/imrn/rnaf279","date_published":"2025-09-01T00:00:00Z","OA_type":"green","ec_funded":1,"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."}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-07-16T08:57:40Z","quality_controlled":"1","project":[{"grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020"}],"article_processing_charge":"No","date_created":"2026-02-17T07:45:45Z","supplementarymaterial":"no","month":"09","publication_status":"published","language":[{"iso":"eng"}],"department":[{"_id":"TiBr"}],"volume":2025,"article_number":"rnaf279","type":"journal_article","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2405.04094"}],"doi":"10.1093/imrn/rnaf279","oa":1,"title":"Harper’s beyond square-root conjecture","publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"author":[{"last_name":"Wang","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","full_name":"Wang, Victor","orcid":"0000-0002-0704-7026","first_name":"Victor"},{"last_name":"Xu","full_name":"Xu, Max Wenqiang","first_name":"Max Wenqiang"}],"publication":"International Mathematics Research Notices","scopus_import":"1"},{"publication_status":"published","language":[{"iso":"eng"}],"department":[{"_id":"TiBr"}],"volume":19,"page":"883-965","month":"04","article_processing_charge":"No","supplementarymaterial":"no","date_created":"2025-02-18T13:33:14Z","quality_controlled":"1","project":[{"name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020","grant_number":"101034413"}],"corr_author":"1","author":[{"first_name":"Loïs","full_name":"Faisant, Loïs","last_name":"Faisant","id":"26ca6926-5797-11ee-9232-f8b51bd19631"}],"publication":"Algebra & Number Theory","type":"journal_article","doi":"10.2140/ant.2025.19.883","oa":1,"title":"Motivic distribution of rational curves and twisted products of toric varieties","publication_identifier":{"eissn":["1944-7833"]},"oa_version":"Published Version","_id":"19054","status":"public","researchdata_availability":"no","publisher":"Mathematical Sciences Publishers","citation":{"short":"L. Faisant, Algebra &#38; Number Theory 19 (2025) 883–965.","mla":"Faisant, Loïs. “Motivic Distribution of Rational Curves and Twisted Products of Toric Varieties.” <i>Algebra &#38; Number Theory</i>, vol. 19, Mathematical Sciences Publishers, 2025, pp. 883–965, doi:<a href=\"https://doi.org/10.2140/ant.2025.19.883\">10.2140/ant.2025.19.883</a>.","chicago":"Faisant, Loïs. “Motivic Distribution of Rational Curves and Twisted Products of Toric Varieties.” <i>Algebra &#38; Number Theory</i>. Mathematical Sciences Publishers, 2025. <a href=\"https://doi.org/10.2140/ant.2025.19.883\">https://doi.org/10.2140/ant.2025.19.883</a>.","apa":"Faisant, L. (2025). Motivic distribution of rational curves and twisted products of toric varieties. <i>Algebra &#38; Number Theory</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/ant.2025.19.883\">https://doi.org/10.2140/ant.2025.19.883</a>","ieee":"L. Faisant, “Motivic distribution of rational curves and twisted products of toric varieties,” <i>Algebra &#38; Number Theory</i>, vol. 19. Mathematical Sciences Publishers, pp. 883–965, 2025.","ama":"Faisant L. Motivic distribution of rational curves and twisted products of toric varieties. <i>Algebra &#38; Number Theory</i>. 2025;19:883-965. doi:<a href=\"https://doi.org/10.2140/ant.2025.19.883\">10.2140/ant.2025.19.883</a>","ista":"Faisant L. 2025. Motivic distribution of rational curves and twisted products of toric varieties. Algebra &#38; Number Theory. 19, 883–965."},"year":"2025","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.","das_tickbox":"0","arxiv":1,"day":"22","intvolume":"        19","file":[{"file_name":"2025_AlgebraNumberTheory_Faisant.pdf","file_size":2034433,"date_created":"2026-02-17T13:17:00Z","success":1,"file_id":"21307","date_updated":"2026-02-17T13:17:00Z","content_type":"application/pdf","creator":"dernst","checksum":"56299f55682528a7cd0136497ce8b383","access_level":"open_access","relation":"main_file"}],"external_id":{"arxiv":["2302.07339"]},"date_updated":"2026-07-16T09:23:01Z","file_date_updated":"2026-02-17T13:17:00Z","ec_funded":1,"abstract":[{"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.","lang":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_type":"original","fulldoi":"https://doi.org/10.2140/ant.2025.19.883","date_published":"2025-04-22T00:00:00Z","OA_type":"diamond","PlanS_conform":"1","has_accepted_license":"1","ddc":["510"],"OA_place":"publisher"},{"article_processing_charge":"Yes (in subscription journal)","supplementarymaterial":"no","date_created":"2025-03-09T23:01:26Z","quality_controlled":"1","page":"1-36","publication_status":"published","department":[{"_id":"TiBr"}],"volume":273,"language":[{"iso":"eng"}],"month":"08","title":"Averages of multiplicative functions along equidistributed sequences","oa":1,"publication_identifier":{"issn":["0022-314X"]},"type":"journal_article","doi":"10.1016/j.jnt.2025.01.005","corr_author":"1","scopus_import":"1","publication":"Journal of Number Theory","author":[{"orcid":"0000-0001-8467-4106","first_name":"Yik Tung","id":"c4c0afc8-9262-11ed-9231-d8b0bc743af1","last_name":"Chan","full_name":"Chan, Yik Tung"},{"first_name":"Peter","last_name":"Koymans","full_name":"Koymans, Peter"},{"first_name":"Carlo","full_name":"Pagano, Carlo","last_name":"Pagano"},{"first_name":"Efthymios","last_name":"Sofos","full_name":"Sofos, Efthymios"}],"dataavailabilitystatement":"No data was used for the research described in the article.","external_id":{"isi":["001444208500001"]},"intvolume":"       273","file":[{"date_updated":"2025-12-30T08:05:42Z","content_type":"application/pdf","creator":"dernst","access_level":"open_access","checksum":"752c407eb186d391380b10a7505f66cf","relation":"main_file","file_name":"2025_JourNumberTheory_Chan.pdf","date_created":"2025-12-30T08:05:42Z","file_size":685204,"success":1,"file_id":"20889"}],"status":"public","_id":"19363","researchdata_availability":"no","oa_version":"Published Version","isi":1,"day":"01","das_tickbox":"1","publisher":"Elsevier","year":"2025","citation":{"ama":"Chan S, Koymans P, Pagano C, Sofos E. Averages of multiplicative functions along equidistributed sequences. <i>Journal of Number Theory</i>. 2025;273:1-36. doi:<a href=\"https://doi.org/10.1016/j.jnt.2025.01.005\">10.1016/j.jnt.2025.01.005</a>","ista":"Chan S, Koymans P, Pagano C, Sofos E. 2025. Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. 273, 1–36.","apa":"Chan, S., Koymans, P., Pagano, C., &#38; Sofos, E. (2025). Averages of multiplicative functions along equidistributed sequences. <i>Journal of Number Theory</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jnt.2025.01.005\">https://doi.org/10.1016/j.jnt.2025.01.005</a>","ieee":"S. Chan, P. Koymans, C. Pagano, and E. Sofos, “Averages of multiplicative functions along equidistributed sequences,” <i>Journal of Number Theory</i>, vol. 273. Elsevier, pp. 1–36, 2025.","chicago":"Chan, Stephanie, Peter Koymans, Carlo Pagano, and Efthymios Sofos. “Averages of Multiplicative Functions along Equidistributed Sequences.” <i>Journal of Number Theory</i>. Elsevier, 2025. <a href=\"https://doi.org/10.1016/j.jnt.2025.01.005\">https://doi.org/10.1016/j.jnt.2025.01.005</a>.","mla":"Chan, Stephanie, et al. “Averages of Multiplicative Functions along Equidistributed Sequences.” <i>Journal of Number Theory</i>, vol. 273, Elsevier, 2025, pp. 1–36, doi:<a href=\"https://doi.org/10.1016/j.jnt.2025.01.005\">10.1016/j.jnt.2025.01.005</a>.","short":"S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36."},"has_accepted_license":"1","date_published":"2025-08-01T00:00:00Z","PlanS_conform":"1","OA_type":"hybrid","ddc":["510"],"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"fulldoi":"https://doi.org/10.1016/j.jnt.2025.01.005","article_type":"original","OA_place":"publisher","date_updated":"2026-07-16T09:26:47Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"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.","lang":"eng"}],"file_date_updated":"2025-12-30T08:05:42Z"},{"citation":{"short":"L. Faisant, ArXiv (n.d.).","mla":"Faisant, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions via Universal Torsors.” <i>ArXiv</i>, 2502.11704, doi:<a href=\"https://doi.org/10.48550/ARXIV.2502.11704\">10.48550/ARXIV.2502.11704</a>.","chicago":"Faisant, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions via Universal Torsors.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/ARXIV.2502.11704\">https://doi.org/10.48550/ARXIV.2502.11704</a>.","apa":"Faisant, L. (n.d.). Motivic counting of rational curves with tangency conditions via universal torsors. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2502.11704\">https://doi.org/10.48550/ARXIV.2502.11704</a>","ieee":"L. Faisant, “Motivic counting of rational curves with tangency conditions via universal torsors,” <i>arXiv</i>. .","ama":"Faisant L. Motivic counting of rational curves with tangency conditions via universal torsors. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/ARXIV.2502.11704\">10.48550/ARXIV.2502.11704</a>","ista":"Faisant L. Motivic counting of rational curves with tangency conditions via universal torsors. arXiv, 2502.11704."},"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","year":"2025","day":"17","arxiv":1,"das_tickbox":"0","oa_version":"Preprint","status":"public","_id":"19055","researchdata_availability":"no","external_id":{"arxiv":["2502.11704"]},"abstract":[{"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.","lang":"eng"}],"ec_funded":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-07-16T09:24:48Z","OA_place":"repository","fulldoi":"https://doi.org/10.48550/ARXIV.2502.11704","date_published":"2025-02-17T00:00:00Z","OA_type":"green","month":"02","language":[{"iso":"eng"}],"department":[{"_id":"TiBr"}],"publication_status":"submitted","project":[{"grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020"}],"date_created":"2025-02-18T13:34:07Z","supplementarymaterial":"no","article_processing_charge":"No","author":[{"last_name":"Faisant","id":"26ca6926-5797-11ee-9232-f8b51bd19631","full_name":"Faisant, Loïs","first_name":"Loïs"}],"publication":"arXiv","corr_author":"1","article_number":"2502.11704","doi":"10.48550/ARXIV.2502.11704","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2502.11704","open_access":"1"}],"type":"preprint","oa":1,"title":"Motivic counting of rational curves with tangency conditions via universal torsors"},{"quality_controlled":"1","project":[{"_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","name":"Rational curves via function field analytic number theory","grant_number":"P36278"},{"call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413"}],"article_processing_charge":"Yes (via OA deal)","date_created":"2025-06-03T07:30:21Z","supplementarymaterial":"no","month":"05","publication_status":"published","department":[{"_id":"TiBr"}],"volume":310,"language":[{"iso":"eng"}],"article_number":"65","type":"journal_article","doi":"10.1007/s00209-025-03765-z","title":"Optimal sums of three cubes in Fq[t]","oa":1,"publication_identifier":{"eissn":["1432-1823"],"issn":["0025-5874"]},"author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","first_name":"Timothy D"},{"full_name":"Glas, Jakob","last_name":"Glas","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","first_name":"Jakob"},{"orcid":"0000-0002-0704-7026","first_name":"Victor","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","last_name":"Wang","full_name":"Wang, Victor"}],"publication":"Mathematische Zeitschrift","scopus_import":"1","corr_author":"1","intvolume":"       310","file":[{"access_level":"open_access","checksum":"6f71e25740c28257bf89b8bf116c2b4d","relation":"main_file","creator":"dernst","content_type":"application/pdf","date_updated":"2025-06-03T08:28:14Z","success":1,"file_id":"19782","file_size":461622,"date_created":"2025-06-03T08:28:14Z","file_name":"2025_MathZeitschrift_Browning.pdf"}],"issue":"4","external_id":{"isi":["001494367000001"],"arxiv":["2408.03668 "]},"publisher":"Springer Nature","year":"2025","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).","citation":{"mla":"Browning, Timothy D., et al. “Optimal Sums of Three Cubes in Fq[T].” <i>Mathematische Zeitschrift</i>, vol. 310, no. 4, 65, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00209-025-03765-z\">10.1007/s00209-025-03765-z</a>.","short":"T.D. Browning, J. Glas, V. Wang, Mathematische Zeitschrift 310 (2025).","chicago":"Browning, Timothy D, Jakob Glas, and Victor Wang. “Optimal Sums of Three Cubes in Fq[T].” <i>Mathematische Zeitschrift</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00209-025-03765-z\">https://doi.org/10.1007/s00209-025-03765-z</a>.","ieee":"T. D. Browning, J. Glas, and V. Wang, “Optimal sums of three cubes in Fq[t],” <i>Mathematische Zeitschrift</i>, vol. 310, no. 4. Springer Nature, 2025.","apa":"Browning, T. D., Glas, J., &#38; Wang, V. (2025). Optimal sums of three cubes in Fq[t]. <i>Mathematische Zeitschrift</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00209-025-03765-z\">https://doi.org/10.1007/s00209-025-03765-z</a>","ista":"Browning TD, Glas J, Wang V. 2025. Optimal sums of three cubes in Fq[t]. Mathematische Zeitschrift. 310(4), 65.","ama":"Browning TD, Glas J, Wang V. Optimal sums of three cubes in Fq[t]. <i>Mathematische Zeitschrift</i>. 2025;310(4). doi:<a href=\"https://doi.org/10.1007/s00209-025-03765-z\">10.1007/s00209-025-03765-z</a>"},"isi":1,"arxiv":1,"day":"23","das_tickbox":"0","oa_version":"Published Version","_id":"19776","researchdata_availability":"no","status":"public","OA_place":"publisher","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_type":"original","fulldoi":"https://doi.org/10.1007/s00209-025-03765-z","OA_type":"hybrid","has_accepted_license":"1","date_published":"2025-05-23T00:00:00Z","ddc":["510"],"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."}],"ec_funded":1,"file_date_updated":"2025-06-03T08:28:14Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-07-16T10:50:51Z"},{"doi":"10.1016/j.aim.2025.110341","type":"journal_article","publication_identifier":{"eissn":["1090-2082"],"issn":["0001-8708"]},"oa":1,"title":"Asymptotic growth of translation-dilation orbits","article_number":"110341","scopus_import":"1","corr_author":"1","author":[{"first_name":"Victor","orcid":"0000-0002-0704-7026","full_name":"Wang, Victor","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","last_name":"Wang"}],"publication":"Advances in Mathematics","supplementarymaterial":"no","date_created":"2025-05-25T22:16:41Z","article_processing_charge":"Yes (via OA deal)","quality_controlled":"1","project":[{"grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"department":[{"_id":"TiBr"}],"volume":475,"language":[{"iso":"eng"}],"publication_status":"published","month":"07","fulldoi":"https://doi.org/10.1016/j.aim.2025.110341","article_type":"original","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"ddc":["510"],"PlanS_conform":"1","has_accepted_license":"1","date_published":"2025-07-01T00:00:00Z","OA_type":"hybrid","OA_place":"publisher","date_updated":"2026-07-16T10:45:31Z","file_date_updated":"2025-12-30T08:30:17Z","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."}],"ec_funded":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file":[{"success":1,"file_id":"20895","file_name":"2025_AdvMathematics_Wang.pdf","file_size":1592341,"date_created":"2025-12-30T08:30:17Z","access_level":"open_access","checksum":"01f2589b678ba840d6a4066c1d8d7642","relation":"main_file","date_updated":"2025-12-30T08:30:17Z","content_type":"application/pdf","creator":"dernst"}],"intvolume":"       475","external_id":{"arxiv":["2309.07626"],"isi":["001495142300002"]},"oa_version":"Published Version","_id":"19727","researchdata_availability":"no","status":"public","citation":{"mla":"Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” <i>Advances in Mathematics</i>, vol. 475, 110341, Elsevier, 2025, doi:<a href=\"https://doi.org/10.1016/j.aim.2025.110341\">10.1016/j.aim.2025.110341</a>.","short":"V. Wang, Advances in Mathematics 475 (2025).","chicago":"Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” <i>Advances in Mathematics</i>. Elsevier, 2025. <a href=\"https://doi.org/10.1016/j.aim.2025.110341\">https://doi.org/10.1016/j.aim.2025.110341</a>.","apa":"Wang, V. (2025). Asymptotic growth of translation-dilation orbits. <i>Advances in Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.aim.2025.110341\">https://doi.org/10.1016/j.aim.2025.110341</a>","ieee":"V. Wang, “Asymptotic growth of translation-dilation orbits,” <i>Advances in Mathematics</i>, vol. 475. Elsevier, 2025.","ama":"Wang V. Asymptotic growth of translation-dilation orbits. <i>Advances in Mathematics</i>. 2025;475. doi:<a href=\"https://doi.org/10.1016/j.aim.2025.110341\">10.1016/j.aim.2025.110341</a>","ista":"Wang V. 2025. Asymptotic growth of translation-dilation orbits. Advances in Mathematics. 475, 110341."},"year":"2025","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.","publisher":"Elsevier","das_tickbox":"0","arxiv":1,"day":"01","isi":1},{"_id":"19673","researchdata_availability":"no","status":"public","oa_version":"Published Version","day":"23","das_tickbox":"0","arxiv":1,"publisher":"Association for Mathematical Research","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","citation":{"apa":"Wang, V. (2025). Prime Hasse principles via diophantine second moments. <i>Journal of the Association for Mathematical Research</i>. Association for Mathematical Research. <a href=\"https://doi.org/10.56994/JAMR.003.001.001\">https://doi.org/10.56994/JAMR.003.001.001</a>","ieee":"V. Wang, “Prime Hasse principles via diophantine second moments,” <i>Journal of the Association for Mathematical Research</i>, vol. 3, no. 1. Association for Mathematical Research, pp. 1–26, 2025.","ama":"Wang V. Prime Hasse principles via diophantine second moments. <i>Journal of the Association for Mathematical Research</i>. 2025;3(1):1-26. doi:<a href=\"https://doi.org/10.56994/JAMR.003.001.001\">10.56994/JAMR.003.001.001</a>","ista":"Wang V. 2025. Prime Hasse principles via diophantine second moments. Journal of the Association for Mathematical Research. 3(1), 1–26.","short":"V. Wang, Journal of the Association for Mathematical Research 3 (2025) 1–26.","mla":"Wang, Victor. “Prime Hasse Principles via Diophantine Second Moments.” <i>Journal of the Association for Mathematical Research</i>, vol. 3, no. 1, Association for Mathematical Research, 2025, pp. 1–26, doi:<a href=\"https://doi.org/10.56994/JAMR.003.001.001\">10.56994/JAMR.003.001.001</a>.","chicago":"Wang, Victor. “Prime Hasse Principles via Diophantine Second Moments.” <i>Journal of the Association for Mathematical Research</i>. Association for Mathematical Research, 2025. <a href=\"https://doi.org/10.56994/JAMR.003.001.001\">https://doi.org/10.56994/JAMR.003.001.001</a>."},"year":"2025","issue":"1","external_id":{"arxiv":["2304.08674"]},"intvolume":"         3","file":[{"creator":"dernst","content_type":"application/pdf","date_updated":"2025-05-12T10:23:26Z","checksum":"f9a1057d146632890466a7dc33bf625e","access_level":"open_access","relation":"main_file","file_size":1094167,"date_created":"2025-05-12T10:23:26Z","file_name":"2025_JAMR_Wang.pdf","success":1,"file_id":"19682"}],"date_updated":"2026-07-16T09:41:30Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file_date_updated":"2025-05-12T10:23:26Z","abstract":[{"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.","lang":"eng"}],"ec_funded":1,"OA_type":"diamond","has_accepted_license":"1","date_published":"2025-01-23T00:00:00Z","ddc":["510"],"tmp":{"name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","short":"CC BY-NC (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","image":"/images/cc_by_nc.png"},"article_type":"original","fulldoi":"https://doi.org/10.56994/JAMR.003.001.001","OA_place":"publisher","page":"1-26","publication_status":"published","volume":3,"department":[{"_id":"TiBr"}],"language":[{"iso":"eng"}],"month":"01","article_processing_charge":"No","supplementarymaterial":"no","date_created":"2025-05-11T22:02:41Z","project":[{"grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020"}],"quality_controlled":"1","corr_author":"1","scopus_import":"1","publication":"Journal of the Association for Mathematical Research","author":[{"orcid":"0000-0002-0704-7026","first_name":"Victor","full_name":"Wang, Victor","last_name":"Wang","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9"}],"title":"Prime Hasse principles via diophantine second moments","oa":1,"publication_identifier":{"eissn":["2998-4114"]},"type":"journal_article","doi":"10.56994/JAMR.003.001.001"},{"OA_place":"publisher","fulldoi":"https://doi.org/10.1017/prm.2025.7","article_type":"original","ddc":["500"],"date_published":"2025-02-06T00:00:00Z","OA_type":"hybrid","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."}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-07-16T09:31:02Z","external_id":{"isi":["001414690400001"]},"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.","citation":{"ieee":"F. Ballini, D. Lombardo, and M. Verzobio, “On the L-polynomials of curves over finite fields,” <i>Proceedings of the Royal Society of Edinburgh Section A: Mathematics</i>. Cambridge University Press, 2025.","apa":"Ballini, F., Lombardo, D., &#38; Verzobio, M. (2025). On the L-polynomials of curves over finite fields. <i>Proceedings of the Royal Society of Edinburgh Section A: Mathematics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/prm.2025.7\">https://doi.org/10.1017/prm.2025.7</a>","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.","ama":"Ballini F, Lombardo D, Verzobio M. On the L-polynomials of curves over finite fields. <i>Proceedings of the Royal Society of Edinburgh Section A: Mathematics</i>. 2025. doi:<a href=\"https://doi.org/10.1017/prm.2025.7\">10.1017/prm.2025.7</a>","mla":"Ballini, Francesco, et al. “On the L-Polynomials of Curves over Finite Fields.” <i>Proceedings of the Royal Society of Edinburgh Section A: Mathematics</i>, Cambridge University Press, 2025, doi:<a href=\"https://doi.org/10.1017/prm.2025.7\">10.1017/prm.2025.7</a>.","short":"F. Ballini, D. Lombardo, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2025).","chicago":"Ballini, Francesco, Davide Lombardo, and Matteo Verzobio. “On the L-Polynomials of Curves over Finite Fields.” <i>Proceedings of the Royal Society of Edinburgh Section A: Mathematics</i>. Cambridge University Press, 2025. <a href=\"https://doi.org/10.1017/prm.2025.7\">https://doi.org/10.1017/prm.2025.7</a>."},"year":"2025","publisher":"Cambridge University Press","das_tickbox":"0","day":"06","isi":1,"oa_version":"Published Version","status":"public","_id":"19407","researchdata_availability":"no","doi":"10.1017/prm.2025.7","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1017/prm.2025.7"}],"type":"journal_article","publication_identifier":{"eissn":["1473-7124"],"issn":["0308-2105"]},"oa":1,"title":"On the L-polynomials of curves over finite fields","author":[{"last_name":"Ballini","full_name":"Ballini, Francesco","first_name":"Francesco"},{"full_name":"Lombardo, Davide","last_name":"Lombardo","first_name":"Davide"},{"full_name":"Verzobio, Matteo","id":"7aa8f170-131e-11ed-88e1-a9efd01027cb","last_name":"Verzobio","first_name":"Matteo","orcid":"0000-0002-0854-0306"}],"publication":"Proceedings of the Royal Society of Edinburgh Section A: Mathematics","scopus_import":"1","corr_author":"1","quality_controlled":"1","date_created":"2025-03-16T23:01:25Z","supplementarymaterial":"no","article_processing_charge":"Yes (via OA deal)","month":"02","language":[{"iso":"eng"}],"department":[{"_id":"TiBr"}],"publication_status":"epub_ahead"},{"fulldoi":"https://doi.org/10.2422/2036-2145.202412_006","article_type":"original","OA_type":"green","date_published":"2025-03-07T00:00:00Z","OA_place":"repository","date_updated":"2026-07-16T09:35:52Z","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."}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","external_id":{"arxiv":["2403.13359"]},"oa_version":"Preprint","_id":"19483","status":"public","researchdata_availability":"no","citation":{"ieee":"S. Chan, P. Koymans, C. Pagano, and E. Sofos, “6-torision and integral points on quartic threefolds,” <i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale, 2025.","apa":"Chan, S., Koymans, P., Pagano, C., &#38; Sofos, E. (2025). 6-torision and integral points on quartic threefolds. <i>Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale. <a href=\"https://doi.org/10.2422/2036-2145.202412_006\">https://doi.org/10.2422/2036-2145.202412_006</a>","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.","ama":"Chan S, Koymans P, Pagano C, Sofos E. 6-torision and integral points on quartic threefolds. <i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>. 2025. doi:<a href=\"https://doi.org/10.2422/2036-2145.202412_006\">10.2422/2036-2145.202412_006</a>","short":"S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).","mla":"Chan, Stephanie, et al. “6-Torision and Integral Points on Quartic Threefolds.” <i>Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze</i>, 18, Scuola Normale Superiore - Edizioni della Normale, 2025, doi:<a href=\"https://doi.org/10.2422/2036-2145.202412_006\">10.2422/2036-2145.202412_006</a>.","chicago":"Chan, Stephanie, Peter Koymans, Carlo Pagano, and Efthymios Sofos. “6-Torision and Integral Points on Quartic Threefolds.” <i>Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale, 2025. <a href=\"https://doi.org/10.2422/2036-2145.202412_006\">https://doi.org/10.2422/2036-2145.202412_006</a>."},"year":"2025","publisher":"Scuola Normale Superiore - Edizioni della Normale","day":"07","das_tickbox":"0","arxiv":1,"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2403.13359","open_access":"1"}],"doi":"10.2422/2036-2145.202412_006","type":"journal_article","publication_identifier":{"eissn":["2036-2145"],"issn":["0391-173X"]},"title":"6-torision and integral points on quartic threefolds","oa":1,"article_number":"18","corr_author":"1","author":[{"first_name":"Yik Tung","orcid":"0000-0001-8467-4106","last_name":"Chan","id":"c4c0afc8-9262-11ed-9231-d8b0bc743af1","full_name":"Chan, Yik Tung"},{"full_name":"Koymans, Peter","last_name":"Koymans","first_name":"Peter"},{"full_name":"Pagano, Carlo","last_name":"Pagano","first_name":"Carlo"},{"full_name":"Sofos, Efthymios","last_name":"Sofos","first_name":"Efthymios"}],"publication":"Annali della Scuola Normale Superiore di Pisa, Classe di Scienze","date_created":"2025-04-05T10:49:27Z","supplementarymaterial":"no","article_processing_charge":"No","language":[{"iso":"eng"}],"department":[{"_id":"TiBr"}],"publication_status":"epub_ahead","month":"03"},{"OA_place":"publisher","ddc":["510"],"has_accepted_license":"1","date_published":"2025-08-01T00:00:00Z","OA_type":"hybrid","fulldoi":"https://doi.org/10.1093/imrn/rnaf249","article_type":"original","tmp":{"image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","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)"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","ec_funded":1,"file_date_updated":"2025-09-02T07:55:05Z","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."}],"date_updated":"2026-07-17T11:55:00Z","external_id":{"isi":["001549126000001"],"arxiv":["2503.19451"]},"issue":"16","file":[{"file_id":"20275","success":1,"file_size":540263,"date_created":"2025-09-02T07:55:05Z","file_name":"2025_IMRN_Verzobio.pdf","relation":"main_file","checksum":"482ae2be98841ee446cf2bdfcd79f86f","access_level":"open_access","creator":"dernst","content_type":"application/pdf","date_updated":"2025-09-02T07:55:05Z"}],"intvolume":"      2025","das_tickbox":"0","arxiv":1,"day":"01","isi":1,"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.","year":"2025","citation":{"apa":"Verzobio, M. (2025). Counting rational points on smooth hypersurfaces with high degree. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnaf249\">https://doi.org/10.1093/imrn/rnaf249</a>","ieee":"M. Verzobio, “Counting rational points on smooth hypersurfaces with high degree,” <i>International Mathematics Research Notices</i>, vol. 2025, no. 16. Oxford University Press, 2025.","ama":"Verzobio M. Counting rational points on smooth hypersurfaces with high degree. <i>International Mathematics Research Notices</i>. 2025;2025(16). doi:<a href=\"https://doi.org/10.1093/imrn/rnaf249\">10.1093/imrn/rnaf249</a>","ista":"Verzobio M. 2025. Counting rational points on smooth hypersurfaces with high degree. International Mathematics Research Notices. 2025(16), rnaf249.","short":"M. Verzobio, International Mathematics Research Notices 2025 (2025).","mla":"Verzobio, Matteo. “Counting Rational Points on Smooth Hypersurfaces with High Degree.” <i>International Mathematics Research Notices</i>, vol. 2025, no. 16, rnaf249, Oxford University Press, 2025, doi:<a href=\"https://doi.org/10.1093/imrn/rnaf249\">10.1093/imrn/rnaf249</a>.","chicago":"Verzobio, Matteo. “Counting Rational Points on Smooth Hypersurfaces with High Degree.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2025. <a href=\"https://doi.org/10.1093/imrn/rnaf249\">https://doi.org/10.1093/imrn/rnaf249</a>."},"publisher":"Oxford University Press","status":"public","_id":"20222","researchdata_availability":"no","oa_version":"Published Version","article_number":"rnaf249","publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"title":"Counting rational points on smooth hypersurfaces with high degree","oa":1,"doi":"10.1093/imrn/rnaf249","type":"journal_article","publication":"International Mathematics Research Notices","author":[{"first_name":"Matteo","orcid":"0000-0002-0854-0306","last_name":"Verzobio","id":"7aa8f170-131e-11ed-88e1-a9efd01027cb","full_name":"Verzobio, Matteo"}],"corr_author":"1","scopus_import":"1","project":[{"grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020"}],"quality_controlled":"1","date_created":"2025-08-24T22:01:31Z","supplementarymaterial":"no","article_processing_charge":"Yes (via OA deal)","month":"08","volume":2025,"department":[{"_id":"TiBr"}],"language":[{"iso":"eng"}],"publication_status":"published"},{"date_updated":"2026-07-17T12:01:12Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"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.","lang":"eng"}],"ec_funded":1,"file_date_updated":"2026-01-05T13:15:44Z","date_published":"2025-10-01T00:00:00Z","OA_type":"hybrid","has_accepted_license":"1","PlanS_conform":"1","ddc":["510"],"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"fulldoi":"https://doi.org/10.1007/s00208-025-03285-5","article_type":"original","OA_place":"publisher","_id":"20367","researchdata_availability":"no","status":"public","oa_version":"Published Version","isi":1,"arxiv":1,"day":"01","das_tickbox":"0","publisher":"Springer Nature","year":"2025","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).","citation":{"chicago":"Browning, Timothy D, Will Sawin, and Victor Wang. “Pairs of Commuting Integer Matrices.” <i>Mathematische Annalen</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00208-025-03285-5\">https://doi.org/10.1007/s00208-025-03285-5</a>.","short":"T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.","mla":"Browning, Timothy D., et al. “Pairs of Commuting Integer Matrices.” <i>Mathematische Annalen</i>, vol. 393, Springer Nature, 2025, pp. 1863–1880, doi:<a href=\"https://doi.org/10.1007/s00208-025-03285-5\">10.1007/s00208-025-03285-5</a>.","ama":"Browning TD, Sawin W, Wang V. Pairs of commuting integer matrices. <i>Mathematische Annalen</i>. 2025;393:1863–1880. doi:<a href=\"https://doi.org/10.1007/s00208-025-03285-5\">10.1007/s00208-025-03285-5</a>","ista":"Browning TD, Sawin W, Wang V. 2025. Pairs of commuting integer matrices. Mathematische Annalen. 393, 1863–1880.","apa":"Browning, T. D., Sawin, W., &#38; Wang, V. (2025). Pairs of commuting integer matrices. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-025-03285-5\">https://doi.org/10.1007/s00208-025-03285-5</a>","ieee":"T. D. Browning, W. Sawin, and V. Wang, “Pairs of commuting integer matrices,” <i>Mathematische Annalen</i>, vol. 393. Springer Nature, pp. 1863–1880, 2025."},"external_id":{"arxiv":["2409.01920"],"isi":["001567740200001"]},"intvolume":"       393","file":[{"relation":"main_file","access_level":"open_access","checksum":"1e94da1a67306e03c8e0086518faf4bc","date_updated":"2026-01-05T13:15:44Z","content_type":"application/pdf","creator":"dernst","file_id":"20950","success":1,"file_name":"2025_MathAnnalen_Browning.pdf","file_size":337505,"date_created":"2026-01-05T13:15:44Z"}],"corr_author":"1","scopus_import":"1","publication":"Mathematische Annalen","author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Browning, Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Sawin, Will","last_name":"Sawin","first_name":"Will"},{"full_name":"Wang, Victor","last_name":"Wang","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","first_name":"Victor","orcid":"0000-0002-0704-7026"}],"title":"Pairs of commuting integer matrices","oa":1,"publication_identifier":{"issn":["0025-5831"],"eissn":["1432-1807"]},"type":"journal_article","doi":"10.1007/s00208-025-03285-5","page":"1863–1880","publication_status":"published","department":[{"_id":"TiBr"}],"language":[{"iso":"eng"}],"volume":393,"month":"10","article_processing_charge":"Yes (via OA deal)","date_created":"2025-09-21T22:01:31Z","supplementarymaterial":"no","project":[{"grant_number":"P36278","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","name":"Rational curves via function field analytic number theory"},{"call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413"}],"quality_controlled":"1"},{"OA_place":"publisher","ddc":["510"],"has_accepted_license":"1","PlanS_conform":"1","OA_type":"hybrid","date_published":"2025-09-23T00:00:00Z","fulldoi":"https://doi.org/10.1007/s40993-025-00671-5","article_type":"original","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"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.","lang":"eng"}],"file_date_updated":"2025-10-13T11:28:49Z","date_updated":"2026-07-17T12:16:15Z","external_id":{"arxiv":["2406.09364"]},"issue":"4","file":[{"file_id":"20463","success":1,"file_size":428531,"date_created":"2025-10-13T11:28:49Z","file_name":"2025_ResearchNumberTheory_Rome.pdf","relation":"main_file","checksum":"d41fbdc0cfc1fbceb519eb49b20a3ec2","access_level":"open_access","creator":"dernst","date_updated":"2025-10-13T11:28:49Z","content_type":"application/pdf"}],"intvolume":"        11","arxiv":1,"day":"23","das_tickbox":"0","citation":{"chicago":"Rome, Nick, and Shuntaro Yamagishi. “On the Existence of Magic Squares of Powers.” <i>Research in Number Theory</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s40993-025-00671-5\">https://doi.org/10.1007/s40993-025-00671-5</a>.","short":"N. Rome, S. Yamagishi, Research in Number Theory 11 (2025).","mla":"Rome, Nick, and Shuntaro Yamagishi. “On the Existence of Magic Squares of Powers.” <i>Research in Number Theory</i>, vol. 11, no. 4, 91, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s40993-025-00671-5\">10.1007/s40993-025-00671-5</a>.","ama":"Rome N, Yamagishi S. On the existence of magic squares of powers. <i>Research in Number Theory</i>. 2025;11(4). doi:<a href=\"https://doi.org/10.1007/s40993-025-00671-5\">10.1007/s40993-025-00671-5</a>","ista":"Rome N, Yamagishi S. 2025. On the existence of magic squares of powers. Research in Number Theory. 11(4), 91.","ieee":"N. Rome and S. Yamagishi, “On the existence of magic squares of powers,” <i>Research in Number Theory</i>, vol. 11, no. 4. Springer Nature, 2025.","apa":"Rome, N., &#38; Yamagishi, S. (2025). On the existence of magic squares of powers. <i>Research in Number Theory</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40993-025-00671-5\">https://doi.org/10.1007/s40993-025-00671-5</a>"},"year":"2025","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).","publisher":"Springer Nature","_id":"20423","status":"public","researchdata_availability":"no","oa_version":"Published Version","article_number":"91","publication_identifier":{"eissn":["2363-9555"]},"title":"On the existence of magic squares of powers","oa":1,"doi":"10.1007/s40993-025-00671-5","type":"journal_article","publication":"Research in Number Theory","author":[{"full_name":"Rome, Nick","last_name":"Rome","first_name":"Nick"},{"first_name":"Shuntaro","full_name":"Yamagishi, Shuntaro","last_name":"Yamagishi","id":"0c3fbc5c-f7a6-11ec-8d70-9485e75b416b"}],"corr_author":"1","scopus_import":"1","project":[{"call_identifier":"FWF","name":"New frontiers of the Manin conjecture","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","grant_number":"P32428"}],"quality_controlled":"1","date_created":"2025-10-05T22:01:34Z","supplementarymaterial":"no","article_processing_charge":"Yes (via OA deal)","month":"09","department":[{"_id":"TiBr"}],"volume":11,"language":[{"iso":"eng"}],"publication_status":"published"},{"OA_place":"repository","fulldoi":"https://doi.org/10.48550/ARXIV.2511.10398","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"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"],"date_published":"2025-11-13T00:00:00Z","OA_type":"green","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."}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","date_updated":"2026-07-20T14:58:23Z","external_id":{"arxiv":["2511.10398"]},"citation":{"ama":"Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">10.48550/ARXIV.2511.10398</a>","ista":"Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. arXiv, <a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">10.48550/ARXIV.2511.10398</a>.","apa":"Henheik, S. J., Kaloshin, V., Li, Y., &#38; Vig, A. (n.d.). Spectral rigidity of Liouville tori. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">https://doi.org/10.48550/ARXIV.2511.10398</a>","ieee":"S. J. Henheik, V. Kaloshin, Y. Li, and A. Vig, “Spectral rigidity of Liouville tori,” <i>arXiv</i>. .","chicago":"Henheik, Sven Joscha, Vadim Kaloshin, Yunzhe Li, and Amir Vig. “Spectral Rigidity of Liouville Tori.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">https://doi.org/10.48550/ARXIV.2511.10398</a>.","mla":"Henheik, Sven Joscha, et al. “Spectral Rigidity of Liouville Tori.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">10.48550/ARXIV.2511.10398</a>.","short":"S.J. Henheik, V. Kaloshin, Y. Li, A. Vig, ArXiv (n.d.)."},"year":"2025","day":"13","arxiv":1,"oa_version":"Preprint","_id":"22340","status":"public","doi":"10.48550/ARXIV.2511.10398","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2511.10398","open_access":"1"}],"type":"preprint","title":"Spectral rigidity of Liouville tori","oa":1,"author":[{"first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","full_name":"Henheik, Sven Joscha"},{"first_name":"Vadim","orcid":"0000-0002-6051-2628","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","last_name":"Kaloshin","full_name":"Kaloshin, Vadim"},{"first_name":"Yunzhe","full_name":"Li, Yunzhe","last_name":"Li","id":"41cb05d3-f128-11eb-9611-e4e2b3cfba31"},{"full_name":"Vig, Amir","id":"49d58dd5-45f5-11ec-9f86-8ce1276989b9","last_name":"Vig","first_name":"Amir"}],"publication":"arXiv","corr_author":"1","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"22255"}]},"date_created":"2026-07-14T12:51:50Z","article_processing_charge":"No","month":"11","language":[{"iso":"eng"}],"department":[{"_id":"VaKa"},{"_id":"LaEr"}],"publication_status":"draft"},{"corr_author":"1","publication":"arXiv","author":[{"last_name":"Li","id":"41cb05d3-f128-11eb-9611-e4e2b3cfba31","full_name":"Li, Yunzhe","first_name":"Yunzhe"}],"oa":1,"title":"Deformations of the standard map with prescribed actions and Lyapunov exponents","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2512.03865","open_access":"1"}],"doi":"10.48550/ARXIV.2512.03865","type":"preprint","language":[{"iso":"eng"}],"department":[{"_id":"VaKa"}],"publication_status":"draft","month":"12","date_created":"2026-07-14T13:02:29Z","article_processing_charge":"No","project":[{"grant_number":"885707","call_identifier":"H2020","_id":"9B8B92DE-BA93-11EA-9121-9846C619BF3A","name":"Spectral rigidity and integrability for billiards and geodesic flows"}],"related_material":{"record":[{"status":"public","id":"22255","relation":"dissertation_contains"}]},"date_updated":"2026-07-20T14:58:23Z","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","abstract":[{"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.","lang":"eng"}],"ec_funded":1,"date_published":"2025-12-03T00:00:00Z","OA_type":"green","fulldoi":"https://doi.org/10.48550/ARXIV.2512.03865","keyword":["Dynamical Systems (math.DS)","FOS: Mathematics","FOS: Mathematics"],"OA_place":"repository","status":"public","_id":"22341","oa_version":"Preprint","arxiv":1,"day":"03","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.","year":"2025","citation":{"chicago":"Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">https://doi.org/10.48550/ARXIV.2512.03865</a>.","mla":"Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">10.48550/ARXIV.2512.03865</a>.","short":"Y. Li, ArXiv (n.d.).","ama":"Li Y. Deformations of the standard map with prescribed actions and Lyapunov exponents. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">10.48550/ARXIV.2512.03865</a>","ista":"Li Y. Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv, <a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">10.48550/ARXIV.2512.03865</a>.","ieee":"Y. Li, “Deformations of the standard map with prescribed actions and Lyapunov exponents,” <i>arXiv</i>. .","apa":"Li, Y. (n.d.). Deformations of the standard map with prescribed actions and Lyapunov exponents. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">https://doi.org/10.48550/ARXIV.2512.03865</a>"},"external_id":{"arxiv":["2512.03865"]}},{"type":"conference","doi":"10.1007/978-3-032-12290-2_6","main_file_link":[{"url":"https://eprint.iacr.org/2025/1723","open_access":"1"}],"oa":1,"title":"Space-deniable proofs","publication_identifier":{"issn":["0302-9743"],"isbn":["9783032122896"],"eissn":["1611-3349"]},"scopus_import":"1","conference":{"start_date":"2025-12-01","end_date":"2025-12-05","name":"TCC: Theory of Cryptography","location":"Aarhus, Denmark"},"corr_author":"1","author":[{"first_name":"Jesko","last_name":"Dujmovic","full_name":"Dujmovic, Jesko"},{"full_name":"Günther, Christoph Ullrich","id":"ec98511c-eb8e-11eb-b029-edd25d7271a1","last_name":"Günther","first_name":"Christoph Ullrich"},{"first_name":"Krzysztof Z","orcid":"0000-0002-9139-1654","full_name":"Pietrzak, Krzysztof Z","last_name":"Pietrzak","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87"}],"cryptoeprintid":1,"publication":"23rd International Conference on Theory of Cryptography","article_processing_charge":"No","date_created":"2025-12-21T23:01:33Z","quality_controlled":"1","project":[{"grant_number":"F8509","_id":"34a34d57-11ca-11ed-8bc3-a2688a8724e1","name":"Security and Privacy by Design for Complex Systems"}],"publication_status":"published","department":[{"_id":"KrPi"}],"language":[{"iso":"eng"}],"volume":16271,"page":"171-202","month":"12","fulldoi":"https://doi.org/10.1007/978-3-032-12290-2_6","date_published":"2025-12-05T00:00:00Z","OA_type":"green","OA_place":"repository","date_updated":"2026-07-21T09:17:38Z","alternative_title":["LNCS"],"abstract":[{"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.","lang":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"     16271","external_id":{"cryptoeprintid":["2025/1723"]},"oa_version":"Preprint","status":"public","_id":"20844","publisher":"Springer Nature","year":"2025","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.","citation":{"chicago":"Dujmovic, Jesko, Christoph Ullrich Günther, and Krzysztof Z Pietrzak. “Space-Deniable Proofs.” In <i>23rd International Conference on Theory of Cryptography</i>, 16271:171–202. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/978-3-032-12290-2_6\">https://doi.org/10.1007/978-3-032-12290-2_6</a>.","short":"J. Dujmovic, C.U. Günther, K.Z. Pietrzak, in:, 23rd International Conference on Theory of Cryptography, Springer Nature, 2025, pp. 171–202.","mla":"Dujmovic, Jesko, et al. “Space-Deniable Proofs.” <i>23rd International Conference on Theory of Cryptography</i>, vol. 16271, Springer Nature, 2025, pp. 171–202, doi:<a href=\"https://doi.org/10.1007/978-3-032-12290-2_6\">10.1007/978-3-032-12290-2_6</a>.","ama":"Dujmovic J, Günther CU, Pietrzak KZ. Space-deniable proofs. In: <i>23rd International Conference on Theory of Cryptography</i>. Vol 16271. Springer Nature; 2025:171-202. doi:<a href=\"https://doi.org/10.1007/978-3-032-12290-2_6\">10.1007/978-3-032-12290-2_6</a>","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.","ieee":"J. Dujmovic, C. U. Günther, and K. Z. Pietrzak, “Space-deniable proofs,” in <i>23rd International Conference on Theory of Cryptography</i>, Aarhus, Denmark, 2025, vol. 16271, pp. 171–202.","apa":"Dujmovic, J., Günther, C. U., &#38; Pietrzak, K. Z. (2025). Space-deniable proofs. In <i>23rd International Conference on Theory of Cryptography</i> (Vol. 16271, pp. 171–202). Aarhus, Denmark: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-032-12290-2_6\">https://doi.org/10.1007/978-3-032-12290-2_6</a>"},"das_tickbox":"1","day":"05"},{"publisher":"EDP Sciences","citation":{"short":"J.S.G. Mombarg, V. Vanlaer, S.B. Das, M. Rieutord, C. Aerts, L.A. Bugnet, S. Mathis, D.R. Reese, J. Ballot, Astronomy &#38; Astrophysics 704 (2025).","mla":"Mombarg, J. S. G., et al. “Is a 1D Perturbative Method Sufficient for Asteroseismic Modelling of β Cephei Pulsators? Implications for Measurements of Rotation and Internal Magnetic Fields.” <i>Astronomy &#38; Astrophysics</i>, vol. 704, A336, EDP Sciences, 2025, doi:<a href=\"https://doi.org/10.1051/0004-6361/202557247\">10.1051/0004-6361/202557247</a>.","chicago":"Mombarg, J. S.G., V. Vanlaer, Srijan B Das, M. Rieutord, C. Aerts, Lisa Annabelle Bugnet, S. Mathis, D. R. Reese, and J. Ballot. “Is a 1D Perturbative Method Sufficient for Asteroseismic Modelling of β Cephei Pulsators? Implications for Measurements of Rotation and Internal Magnetic Fields.” <i>Astronomy &#38; Astrophysics</i>. EDP Sciences, 2025. <a href=\"https://doi.org/10.1051/0004-6361/202557247\">https://doi.org/10.1051/0004-6361/202557247</a>.","ieee":"J. S. G. Mombarg <i>et al.</i>, “Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? Implications for measurements of rotation and internal magnetic fields,” <i>Astronomy &#38; Astrophysics</i>, vol. 704. EDP Sciences, 2025.","apa":"Mombarg, J. S. G., Vanlaer, V., Das, S. B., Rieutord, M., Aerts, C., Bugnet, L. A., … Ballot, J. (2025). Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? Implications for measurements of rotation and internal magnetic fields. <i>Astronomy &#38; Astrophysics</i>. EDP Sciences. <a href=\"https://doi.org/10.1051/0004-6361/202557247\">https://doi.org/10.1051/0004-6361/202557247</a>","ama":"Mombarg JSG, Vanlaer V, Das SB, et al. Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? Implications for measurements of rotation and internal magnetic fields. <i>Astronomy &#38; Astrophysics</i>. 2025;704. doi:<a href=\"https://doi.org/10.1051/0004-6361/202557247\">10.1051/0004-6361/202557247</a>","ista":"Mombarg JSG, Vanlaer V, Das SB, Rieutord M, Aerts C, Bugnet LA, Mathis S, Reese DR, Ballot J. 2025. Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? Implications for measurements of rotation and internal magnetic fields. Astronomy &#38; Astrophysics. 704, A336."},"year":"2025","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.","arxiv":1,"day":"19","oa_version":"Published Version","status":"public","_id":"20931","intvolume":"       704","file":[{"file_size":2620909,"date_created":"2026-01-05T08:36:28Z","file_name":"2025_AstronomyAstrophysics_Mombarg.pdf","success":1,"file_id":"20937","creator":"dernst","content_type":"application/pdf","date_updated":"2026-01-05T08:36:28Z","access_level":"open_access","checksum":"d838b4783920c43b7cc866e9cf08b383","relation":"main_file"}],"external_id":{"arxiv":["2511.09617"]},"file_date_updated":"2026-01-05T08:36:28Z","abstract":[{"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.","lang":"eng"}],"ec_funded":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-22T06:20:53Z","DOAJ_listed":"1","OA_place":"publisher","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"fulldoi":"https://doi.org/10.1051/0004-6361/202557247","article_type":"original","PlanS_conform":"1","date_published":"2025-12-19T00:00:00Z","has_accepted_license":"1","OA_type":"diamond","ddc":["520"],"month":"12","publication_status":"published","department":[{"_id":"LiBu"}],"language":[{"iso":"eng"}],"volume":704,"quality_controlled":"1","related_material":{"record":[{"status":"public","id":"20936","relation":"research_data"}]},"project":[{"grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"},{"grant_number":"101165631","name":"Unveiling the mysteries of stellar dynamics: a pioneering journey in magnetoasteroseismology","_id":"914d8549-16d5-11f0-9cad-bbe6324c93a9"}],"article_processing_charge":"No","date_created":"2026-01-04T23:01:35Z","author":[{"full_name":"Mombarg, J. S.G.","last_name":"Mombarg","first_name":"J. S.G."},{"last_name":"Vanlaer","full_name":"Vanlaer, V.","first_name":"V."},{"full_name":"Das, Srijan B","last_name":"Das","id":"9ce7c423-dacf-11ed-8942-e09c6cb27149","first_name":"Srijan B","orcid":"0000-0003-0896-7972"},{"last_name":"Rieutord","full_name":"Rieutord, M.","first_name":"M."},{"first_name":"C.","last_name":"Aerts","full_name":"Aerts, C."},{"full_name":"Bugnet, Lisa Annabelle","id":"d9edb345-f866-11ec-9b37-d119b5234501","last_name":"Bugnet","first_name":"Lisa Annabelle","orcid":"0000-0003-0142-4000"},{"full_name":"Mathis, S.","last_name":"Mathis","first_name":"S."},{"first_name":"D. R.","last_name":"Reese","full_name":"Reese, D. R."},{"full_name":"Ballot, J.","last_name":"Ballot","first_name":"J."}],"publication":"Astronomy & Astrophysics","scopus_import":"1","article_number":"A336","type":"journal_article","doi":"10.1051/0004-6361/202557247","title":"Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? Implications for measurements of rotation and internal magnetic fields","oa":1,"publication_identifier":{"eissn":["1432-0746"],"issn":["0004-6361"]}},{"month":"07","page":"439-447","publication_status":"published","department":[{"_id":"GradSch"}],"volume":645,"language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"research_data","id":"20883","status":"public"}]},"quality_controlled":"1","article_processing_charge":"Yes (in subscription journal)","date_created":"2025-08-03T22:01:31Z","publication":"Nature","author":[{"first_name":"Felix","full_name":"Baier, Felix","last_name":"Baier"},{"first_name":"Katja","last_name":"Reinhard","full_name":"Reinhard, Katja"},{"last_name":"Nuttin","full_name":"Nuttin, Bram","first_name":"Bram"},{"full_name":"Sans-Dublanc, Arnau","last_name":"Sans-Dublanc","first_name":"Arnau"},{"full_name":"Liu, Chen","last_name":"Liu","first_name":"Chen"},{"first_name":"Victoria","full_name":"Tong, Victoria","last_name":"Tong"},{"first_name":"Julie Stefanie","id":"1d390868-f128-11eb-9611-a0ca5f7833b5","last_name":"Murmann","full_name":"Murmann, Julie Stefanie"},{"full_name":"Wierda, Keimpe","last_name":"Wierda","first_name":"Keimpe"},{"full_name":"Farrow, Karl","last_name":"Farrow","first_name":"Karl"},{"first_name":"Hopi E.","last_name":"Hoekstra","full_name":"Hoekstra, Hopi E."}],"scopus_import":"1","oa":1,"title":"The neural basis of species-specific defensive behaviour in Peromyscus mice","pmid":1,"publication_identifier":{"issn":["0028-0836"],"eissn":["1476-4687"]},"type":"journal_article","doi":"10.1038/s41586-025-09241-2","day":"23","publisher":"Springer Nature","citation":{"short":"F. Baier, K. Reinhard, B. Nuttin, A. Sans-Dublanc, C. Liu, V. Tong, J.S. Murmann, K. Wierda, K. Farrow, H.E. Hoekstra, Nature 645 (2025) 439–447.","mla":"Baier, Felix, et al. “The Neural Basis of Species-Specific Defensive Behaviour in Peromyscus Mice.” <i>Nature</i>, vol. 645, Springer Nature, 2025, pp. 439–47, doi:<a href=\"https://doi.org/10.1038/s41586-025-09241-2\">10.1038/s41586-025-09241-2</a>.","chicago":"Baier, Felix, Katja Reinhard, Bram Nuttin, Arnau Sans-Dublanc, Chen Liu, Victoria Tong, Julie Stefanie Murmann, Keimpe Wierda, Karl Farrow, and Hopi E. Hoekstra. “The Neural Basis of Species-Specific Defensive Behaviour in Peromyscus Mice.” <i>Nature</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1038/s41586-025-09241-2\">https://doi.org/10.1038/s41586-025-09241-2</a>.","apa":"Baier, F., Reinhard, K., Nuttin, B., Sans-Dublanc, A., Liu, C., Tong, V., … Hoekstra, H. E. (2025). The neural basis of species-specific defensive behaviour in Peromyscus mice. <i>Nature</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41586-025-09241-2\">https://doi.org/10.1038/s41586-025-09241-2</a>","ieee":"F. Baier <i>et al.</i>, “The neural basis of species-specific defensive behaviour in Peromyscus mice,” <i>Nature</i>, vol. 645. Springer Nature, pp. 439–447, 2025.","ista":"Baier F, Reinhard K, Nuttin B, Sans-Dublanc A, Liu C, Tong V, Murmann JS, Wierda K, Farrow K, Hoekstra HE. 2025. The neural basis of species-specific defensive behaviour in Peromyscus mice. Nature. 645, 439–447.","ama":"Baier F, Reinhard K, Nuttin B, et al. The neural basis of species-specific defensive behaviour in Peromyscus mice. <i>Nature</i>. 2025;645:439-447. doi:<a href=\"https://doi.org/10.1038/s41586-025-09241-2\">10.1038/s41586-025-09241-2</a>"},"year":"2025","acknowledgement":"The authors thank M. Yilmaz, M. Meister, M. Joesch and T. Branco for advice on the behavioural experiments; C. Dulac, V. Bitsikas, E. Diel and J. Chen for advice on the immunohistochemistry and RNAscope experiments; J. Greenwood and E. Soucy for technical and engineering help; A. Chrzanowska for help and advice on optogenetic experiments; A. Calzoni for help aligning histological sections to a brain atlas; S. Worthington for statistical advice; P. Gonçalves for advice with the electrophysiology analysis; I. Vlaemick for help with whole cell experiments; R. Hellmiss for figure design; B. Sabatini, V. Stempel, K. Tyssowski and N. Sanguinetti for feedback on the manuscript; and Y. M. Lee and A. Tomcho for photos of P. maniculatus and P. leucopus habitats (Fig. 1). F.B. was supported by an HHMI International Student Research Fellowship, a Grant-in-Aid of the American Society of Mammalogy, a Herchel Smith Graduate Fellowship, a Robert A. Chapman Memorial Scholarship, and a Joan Brockman Williamson Fellowship. This project received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement 665501 and by the FWO (12S7917N and 12S7920N) to K.R. and from European Research Council (ERC) (grant agreement 101075848) to K.R. V.T. was supported by a Harvard PRISE fellowship and a Harvard Museum of Comparative Zoology grant for undergraduate research. K.F. is supported by the FWO (G094616N and G091719N) and the NIH (1R01EY032101). This work was supported by the Howard Hughes Medical Institute, of which H.E.H. was an Investigator.","status":"public","_id":"20101","oa_version":"Published Version","external_id":{"pmid":["40702175"]},"intvolume":"       645","file":[{"creator":"dernst","date_updated":"2025-12-30T07:39:45Z","content_type":"application/pdf","access_level":"open_access","checksum":"7ea846a7a49b3b2a248f6a27ab13d591","relation":"main_file","date_created":"2025-12-30T07:39:45Z","file_size":53301589,"file_name":"2025_Nature_Baier.pdf","success":1,"file_id":"20884"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file_date_updated":"2025-12-30T07:39:45Z","abstract":[{"lang":"eng","text":"Evading imminent threat from predators is critical for animal survival. Effective defensive strategies can vary, even between closely related species. However, the neural basis of such species-specific behaviours remains poorly understood1,2,3,4. Here we find that two sister species of deer mice (genus Peromyscus)5 show different responses to the same looming stimulus: Peromyscus maniculatus, which occupies densely vegetated habitats, predominantly escapes, whereas the open field specialist, Peromyscus polionotus, briefly freezes. This difference arises from species-specific escape thresholds, is largely context-independent, and can be triggered by both visual and auditory threat stimuli. Using immunohistochemistry and electrophysiological recordings, we find that although visual threat activates the superior colliculus in both species, the role of the dorsal periaqueductal grey (dPAG) in driving behaviour differs. Whereas dPAG activity scales with running speed in P. maniculatus, neural activity in the dPAG of P. polionotus correlates poorly with movement, including during visually triggered escape. Moreover, optogenetic activation of dPAG neurons elicits acceleration in P. maniculatus but not in P. polionotus, and their chemogenetic inhibition during a looming stimulus delays escape onset in P. maniculatus to match that of P. polionotus. Together, we trace species-specific escape thresholds to a central circuit node, downstream of peripheral sensory neurons, localizing an ecologically relevant behavioural difference to a specific region of the mammalian brain."}],"date_updated":"2026-07-22T06:20:09Z","OA_place":"publisher","date_published":"2025-07-23T00:00:00Z","OA_type":"hybrid","has_accepted_license":"1","ddc":["570"],"tmp":{"image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","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)"},"fulldoi":"https://doi.org/10.1038/s41586-025-09241-2","article_type":"original"},{"volume":112,"department":[{"_id":"MaIb"},{"_id":"JoFi"}],"language":[{"iso":"eng"}],"publication_status":"published","month":"12","date_created":"2026-01-04T23:01:34Z","article_processing_charge":"No","related_material":{"record":[{"id":"20940","relation":"research_data","status":"public"}]},"quality_controlled":"1","scopus_import":"1","publication":"Physical Review B","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"},{"id":"84b9700b-15b2-11ec-abd3-831089e67615","last_name":"Kapoor","full_name":"Kapoor, Lucky","first_name":"Lucky","orcid":"0000-0001-8319-2148"},{"first_name":"Souvik","last_name":"Sasmal","full_name":"Sasmal, Souvik"},{"full_name":"Manni, Soham","last_name":"Manni","first_name":"Soham"},{"last_name":"Jesudasan","full_name":"Jesudasan, John","first_name":"John"},{"full_name":"Raychaudhuri, Pratap","last_name":"Raychaudhuri","first_name":"Pratap"},{"first_name":"Arumugam","last_name":"Thamizhavel","full_name":"Thamizhavel, Arumugam"},{"first_name":"Mandar M.","last_name":"Deshmukh","full_name":"Deshmukh, Mandar M."}],"publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"title":"Cavity based sensing of antiferromagnetic canting and nonzero-momentum spin waves in a van der Waals cavity-magnon-polariton system","oa":1,"doi":"10.1103/bdd1-b8ys","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2512.05236"}],"type":"journal_article","article_number":"214443","_id":"20927","status":"public","oa_version":"Preprint","arxiv":1,"day":"19","citation":{"ieee":"S. Mandal <i>et al.</i>, “Cavity based sensing of antiferromagnetic canting and nonzero-momentum spin waves in a van der Waals cavity-magnon-polariton system,” <i>Physical Review B</i>, vol. 112, no. 21. American Physical Society, 2025.","apa":"Mandal, S., Maji, K., Kapoor, L., Sasmal, S., Manni, S., Jesudasan, J., … Deshmukh, M. M. (2025). Cavity based sensing of antiferromagnetic canting and nonzero-momentum spin waves in a van der Waals cavity-magnon-polariton system. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/bdd1-b8ys\">https://doi.org/10.1103/bdd1-b8ys</a>","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.","ama":"Mandal S, Maji K, Kapoor L, et al. Cavity based sensing of antiferromagnetic canting and nonzero-momentum spin waves in a van der Waals cavity-magnon-polariton system. <i>Physical Review B</i>. 2025;112(21). doi:<a href=\"https://doi.org/10.1103/bdd1-b8ys\">10.1103/bdd1-b8ys</a>","mla":"Mandal, Supriya, et al. “Cavity Based Sensing of Antiferromagnetic Canting and Nonzero-Momentum Spin Waves in a van Der Waals Cavity-Magnon-Polariton System.” <i>Physical Review B</i>, vol. 112, no. 21, 214443, American Physical Society, 2025, doi:<a href=\"https://doi.org/10.1103/bdd1-b8ys\">10.1103/bdd1-b8ys</a>.","short":"S. Mandal, K. Maji, L. Kapoor, S. Sasmal, S. Manni, J. Jesudasan, P. Raychaudhuri, A. Thamizhavel, M.M. Deshmukh, Physical Review B 112 (2025).","chicago":"Mandal, Supriya, Krishnendu Maji, Lucky Kapoor, Souvik Sasmal, Soham Manni, John Jesudasan, Pratap Raychaudhuri, Arumugam Thamizhavel, and Mandar M. Deshmukh. “Cavity Based Sensing of Antiferromagnetic Canting and Nonzero-Momentum Spin Waves in a van Der Waals Cavity-Magnon-Polariton System.” <i>Physical Review B</i>. American Physical Society, 2025. <a href=\"https://doi.org/10.1103/bdd1-b8ys\">https://doi.org/10.1103/bdd1-b8ys</a>."},"year":"2025","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.","publisher":"American Physical Society","external_id":{"arxiv":["2512.05236"]},"issue":"21","intvolume":"       112","date_updated":"2026-07-22T06:21:32Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"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.","lang":"eng"}],"OA_type":"green","date_published":"2025-12-19T00:00:00Z","fulldoi":"https://doi.org/10.1103/bdd1-b8ys","article_type":"original","OA_place":"repository"},{"publisher":"Dryad","year":"2025","citation":{"chicago":"Felix, Baier, Katja Reinhard, Bram Nuttin, Arnau Sans Dublanc, Chen Liu, Victoria Tong, Julie Stefanie Murmann, Keimpe Wierda, Karl Farrow, and Hopi Hoekstra. “The Neural Basis of Species-Specific Defensive Behaviour in Peromyscus Mice.” Dryad, 2025. <a href=\"https://doi.org/10.5061/DRYAD.Q2BVQ83XC\">https://doi.org/10.5061/DRYAD.Q2BVQ83XC</a>.","mla":"Felix, Baier, et al. <i>The Neural Basis of Species-Specific Defensive Behaviour in Peromyscus Mice</i>. Dryad, 2025, doi:<a href=\"https://doi.org/10.5061/DRYAD.Q2BVQ83XC\">10.5061/DRYAD.Q2BVQ83XC</a>.","short":"B. Felix, K. Reinhard, B. Nuttin, A. Sans Dublanc, C. Liu, V. Tong, J.S. Murmann, K. Wierda, K. Farrow, H. Hoekstra, (2025).","ama":"Felix B, Reinhard K, Nuttin B, et al. The neural basis of species-specific defensive behaviour in Peromyscus mice. 2025. doi:<a href=\"https://doi.org/10.5061/DRYAD.Q2BVQ83XC\">10.5061/DRYAD.Q2BVQ83XC</a>","ista":"Felix B, Reinhard K, Nuttin B, Sans Dublanc A, Liu C, Tong V, Murmann JS, Wierda K, Farrow K, Hoekstra H. 2025. The neural basis of species-specific defensive behaviour in Peromyscus mice, Dryad, <a href=\"https://doi.org/10.5061/DRYAD.Q2BVQ83XC\">10.5061/DRYAD.Q2BVQ83XC</a>.","apa":"Felix, B., Reinhard, K., Nuttin, B., Sans Dublanc, A., Liu, C., Tong, V., … Hoekstra, H. (2025). The neural basis of species-specific defensive behaviour in Peromyscus mice. Dryad. <a href=\"https://doi.org/10.5061/DRYAD.Q2BVQ83XC\">https://doi.org/10.5061/DRYAD.Q2BVQ83XC</a>","ieee":"B. Felix <i>et al.</i>, “The neural basis of species-specific defensive behaviour in Peromyscus mice.” Dryad, 2025."},"month":"06","day":"23","oa_version":"Published Version","department":[{"_id":"GradSch"}],"_id":"20883","status":"public","related_material":{"record":[{"status":"public","id":"20101","relation":"used_in_publication"}]},"article_processing_charge":"No","date_created":"2025-12-30T07:36:29Z","abstract":[{"text":"Evading imminent predator threat is critical for survival. Effective defensive strategies can vary, even between closely related species. However, the neural basis of such species-specific behaviours is still poorly understood. Here we find that two sister species of deer mice (genus Peromyscus) show different responses to the same looming stimulus: P. maniculatus, which occupies densely vegetated habitats, predominantly escapes, while the open field specialist, P. polionotus, briefly freezes. This difference arises from species-specific escape thresholds, is largely context-independent, and can be triggered by both visual and auditory threat stimuli. Using immunohistochemistry and electrophysiological recordings, we find that although visual threat activates the superior colliculus in both species, the role of the dorsal periaqueductal gray (dPAG) in driving behaviour differs. While dPAG activity scales with running speed in P. maniculatus, neural activity in the dPAG of P. polionotus correlates poorly with movement, including during visually triggered escape. Moreover, optogenetic activation of dPAG neurons elicits acceleration in P. maniculatus but not P. polionotus, while their chemogenetic inhibition during a looming stimulus delays escape onset in P. maniculatus to match that of P. polionotus. Together, we trace species-specific escape thresholds to a central circuit node, downstream of peripheral sensory neurons, localizing an ecologically relevant behavioural difference to a specific region of the mammalian brain.","lang":"eng"}],"author":[{"last_name":"Felix","full_name":"Felix, Baier","first_name":"Baier"},{"last_name":"Reinhard","full_name":"Reinhard, Katja","first_name":"Katja"},{"last_name":"Nuttin","full_name":"Nuttin, Bram","first_name":"Bram"},{"first_name":"Arnau","last_name":"Sans Dublanc","full_name":"Sans Dublanc, Arnau"},{"first_name":"Chen","full_name":"Liu, Chen","last_name":"Liu"},{"first_name":"Victoria","last_name":"Tong","full_name":"Tong, Victoria"},{"first_name":"Julie Stefanie","id":"1d390868-f128-11eb-9611-a0ca5f7833b5","last_name":"Murmann","full_name":"Murmann, Julie Stefanie"},{"first_name":"Keimpe","last_name":"Wierda","full_name":"Wierda, Keimpe"},{"first_name":"Karl","full_name":"Farrow, Karl","last_name":"Farrow"},{"first_name":"Hopi","full_name":"Hoekstra, Hopi","last_name":"Hoekstra"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-22T06:20:09Z","OA_place":"repository","type":"research_data_reference","doi":"10.5061/DRYAD.Q2BVQ83XC","fulldoi":"https://doi.org/10.5061/DRYAD.Q2BVQ83XC","main_file_link":[{"url":"https://doi.org/10.5061/dryad.q2bvq83xc","open_access":"1"}],"date_published":"2025-06-23T00:00:00Z","OA_type":"hybrid","oa":1,"title":"The neural basis of species-specific defensive behaviour in Peromyscus mice"},{"oa_version":"Published Version","department":[{"_id":"LiBu"}],"_id":"20936","status":"public","publisher":"Zenodo","year":"2025","citation":{"mla":"Mombarg, Joey, et al. <i>Is a 1D Perturbative Method Sufficient for Asteroseismic Modelling of β Cephei Pulsators?</i> Zenodo, 2025, doi:<a href=\"https://doi.org/10.5281/ZENODO.17580178\">10.5281/ZENODO.17580178</a>.","short":"J. Mombarg, V. Vanlaer, S.B. Das, M. Rieutord, C. Aerts, L.A. Bugnet, S. Mathis, D. Reese, J. Ballot, (2025).","chicago":"Mombarg, Joey, Vincent Vanlaer, Srijan B Das, Michel Rieutord, Conny Aerts, Lisa Annabelle Bugnet, Stephane Mathis, Daniel Reese, and Jerome Ballot. “Is a 1D Perturbative Method Sufficient for Asteroseismic Modelling of β Cephei Pulsators?” Zenodo, 2025. <a href=\"https://doi.org/10.5281/ZENODO.17580178\">https://doi.org/10.5281/ZENODO.17580178</a>.","ieee":"J. Mombarg <i>et al.</i>, “Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators?” Zenodo, 2025.","apa":"Mombarg, J., Vanlaer, V., Das, S. B., Rieutord, M., Aerts, C., Bugnet, L. A., … Ballot, J. (2025). Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? Zenodo. <a href=\"https://doi.org/10.5281/ZENODO.17580178\">https://doi.org/10.5281/ZENODO.17580178</a>","ama":"Mombarg J, Vanlaer V, Das SB, et al. Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? 2025. doi:<a href=\"https://doi.org/10.5281/ZENODO.17580178\">10.5281/ZENODO.17580178</a>","ista":"Mombarg J, Vanlaer V, Das SB, Rieutord M, Aerts C, Bugnet LA, Mathis S, Reese D, Ballot J. 2025. Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators?, Zenodo, <a href=\"https://doi.org/10.5281/ZENODO.17580178\">10.5281/ZENODO.17580178</a>."},"month":"11","day":"11","article_processing_charge":"No","date_created":"2026-01-05T08:39:33Z","related_material":{"record":[{"id":"20931","relation":"used_in_publication","status":"public"}]},"date_updated":"2026-07-22T06:20:53Z","author":[{"full_name":"Mombarg, Joey","last_name":"Mombarg","first_name":"Joey"},{"first_name":"Vincent","last_name":"Vanlaer","full_name":"Vanlaer, Vincent"},{"full_name":"Das, Srijan B","id":"9ce7c423-dacf-11ed-8942-e09c6cb27149","last_name":"Das","first_name":"Srijan B","orcid":"0000-0003-0896-7972"},{"last_name":"Rieutord","full_name":"Rieutord, Michel","first_name":"Michel"},{"last_name":"Aerts","full_name":"Aerts, Conny","first_name":"Conny"},{"first_name":"Lisa Annabelle","orcid":"0000-0003-0142-4000","full_name":"Bugnet, Lisa Annabelle","last_name":"Bugnet","id":"d9edb345-f866-11ec-9b37-d119b5234501"},{"first_name":"Stephane","full_name":"Mathis, Stephane","last_name":"Mathis"},{"first_name":"Daniel","full_name":"Reese, Daniel","last_name":"Reese"},{"first_name":"Jerome","last_name":"Ballot","full_name":"Ballot, Jerome"}],"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)"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"research_data_reference","main_file_link":[{"open_access":"1","url":"https://doi.org/10.5281/zenodo.17580178"}],"fulldoi":"https://doi.org/10.5281/ZENODO.17580178","doi":"10.5281/ZENODO.17580178","date_published":"2025-11-11T00:00:00Z","OA_type":"gold","title":"Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators?","oa":1,"ddc":["520"],"OA_place":"repository"}]