[{"author":[{"full_name":"Karle, Volker","id":"D7C012AE-D7ED-11E9-95E8-1EC5E5697425","orcid":"0000-0002-6963-0129","first_name":"Volker","last_name":"Karle"},{"last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","first_name":"Mikhail","full_name":"Lemeshko, Mikhail"},{"full_name":"Bouhon, Adrien","first_name":"Adrien","last_name":"Bouhon"},{"full_name":"Slager, Robert-Jan","last_name":"Slager","first_name":"Robert-Jan"},{"first_name":"F. Nur","last_name":"Ünal","full_name":"Ünal, F. Nur"}],"external_id":{"arxiv":["2408.16848"]},"date_published":"2024-08-29T00:00:00Z","OA_type":"green","article_processing_charge":"No","date_created":"2025-03-20T07:48:23Z","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19393"},{"relation":"later_version","status":"public","id":"21009"}]},"_id":"19425","acknowledgement":"We thank G. M. Koutentakis, S. Wimberger, J. G. E. Harris, T. Enss and A. Ghazaryan for fruitful discussions. M.L. acknowledges support by the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). R.-J. S. acknowledges funding from a EPSRC ERC underwrite grant EP/X025829/1, a EPSRC New Investigator Award grant EP/W00187X/1, as well as Trinity College, Cambridge. F.N.U. acknowledges support from the Marie ¨Sk lodowska-Curie programme of the European Commission [Grant No. 893915], Simons Investigator Award\r\n[Grant No. 511029] and Trinity College Cambridge.","doi":"10.48550/arXiv.2408.16848","type":"preprint","department":[{"_id":"MiLe"}],"publication_status":"draft","title":"Anomalous multi-gap topological phases in periodically driven quantum rotors","project":[{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle"}],"year":"2024","abstract":[{"text":"We demonstrate that periodically driven quantum rotors provide a promising and broadly applicable platform to implement multi-gap topological phases, where groups of bands can acquire topological invariants due to non-Abelian braiding of band degeneracies. By adiabatically varying the periodic kicks to the rotor we find nodal-line braiding, which causes sign flips of topological charges of band nodes and can prevent them from annihilating, indicated by non-zero values of the %non-Abelian patch Euler class. In particular, we report\r\non the emergence of an anomalous Dirac string phase arising in the strongly driven regime, a truly out-of-equilibrium phase of the quantum rotor. This phase emanates from braiding processes involving all (quasienergy) gaps and manifests itself with edge states at zero angular momentum. Our results reveal direct applications in state-of-the-art experiments of quantum rotors, such as linear molecules driven by periodic far-off-resonant laser pulses or artificial\r\nquantum rotors in optical lattices, whose extensive versatility offers precise modification and observation of novel non-Abelian topological properties. ","lang":"eng"}],"publication":"arXiv","date_updated":"2026-07-29T08:59:31Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"29","language":[{"iso":"eng"}],"month":"08","oa_version":"Preprint","oa":1,"arxiv":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2408.16848"}],"OA_place":"repository","article_number":"2408.16848","status":"public","citation":{"short":"V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, F.N. Ünal, ArXiv (n.d.).","apa":"Karle, V., Lemeshko, M., Bouhon, A., Slager, R.-J., & Ünal, F. N. (n.d.). Anomalous multi-gap topological phases in periodically driven quantum rotors. arXiv. https://doi.org/10.48550/arXiv.2408.16848","ieee":"V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, and F. N. Ünal, “Anomalous multi-gap topological phases in periodically driven quantum rotors,” arXiv. .","ista":"Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological phases in periodically driven quantum rotors. arXiv, 2408.16848.","chicago":"Karle, Volker, Mikhail Lemeshko, Adrien Bouhon, Robert-Jan Slager, and F. Nur Ünal. “Anomalous Multi-Gap Topological Phases in Periodically Driven Quantum Rotors.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2408.16848.","ama":"Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological phases in periodically driven quantum rotors. arXiv. doi:10.48550/arXiv.2408.16848","mla":"Karle, Volker, et al. “Anomalous Multi-Gap Topological Phases in Periodically Driven Quantum Rotors.” ArXiv, 2408.16848, doi:10.48550/arXiv.2408.16848."},"ec_funded":1},{"ddc":["512"],"citation":{"ama":"Wang V, Xu MW. Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. 2024;56(8):2718-2726. doi:10.1112/blms.13095","mla":"Wang, Victor, and Max Wenqiang Xu. “Paucity Phenomena for Polynomial Products.” Bulletin of the London Mathematical Society, vol. 56, no. 8, London Mathematical Society, 2024, pp. 2718–26, doi:10.1112/blms.13095.","chicago":"Wang, Victor, and Max Wenqiang Xu. “Paucity Phenomena for Polynomial Products.” Bulletin of the London Mathematical Society. London Mathematical Society, 2024. https://doi.org/10.1112/blms.13095.","ista":"Wang V, Xu MW. 2024. Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. 56(8), 2718–2726.","apa":"Wang, V., & Xu, M. W. (2024). Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/blms.13095","ieee":"V. Wang and M. W. Xu, “Paucity phenomena for polynomial products,” Bulletin of the London Mathematical Society, vol. 56, no. 8. London Mathematical Society, pp. 2718–2726, 2024.","short":"V. Wang, M.W. Xu, Bulletin of the London Mathematical Society 56 (2024) 2718–2726."},"ec_funded":1,"volume":56,"oa_version":"Submitted Version","has_accepted_license":"1","oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2211.02908","open_access":"1"}],"arxiv":1,"publication_identifier":{"eissn":["1469-2120"],"issn":["0024-6093"]},"scopus_import":"1","status":"public","file_date_updated":"2024-08-20T08:36:32Z","day":"01","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_type":"original","language":[{"iso":"eng"}],"month":"08","supplementarymaterial":"no","year":"2024","isi":1,"abstract":[{"lang":"eng","text":"Let P(x)∈Z[x] be a polynomial with at least two distinct complex roots. We prove that the number of solutions (x1,…,xk,y1,…,yk)∈[N]2k to the equation\r\n∏1≤i≤kP(xi)=∏1≤j≤kP(yj)≠0\r\n(for any k≥1 ) is asymptotically k!Nk as N→+∞. This solves a question first proposed and studied by Najnudel. The result can also be interpreted as saying that all even moments of random partial sums 1N√∑n≤Nf(P(n)) match standard complex Gaussian moments as N→+∞\r\n , where f is the Steinhaus random multiplicative function."}],"publication":"Bulletin of the London Mathematical Society","date_updated":"2026-07-29T09:57:59Z","das_tickbox":"0","file":[{"date_created":"2024-08-20T08:36:32Z","content_type":"application/pdf","file_name":"Paucity_phenomena_for_polynomial_products__Wang_Xu_ (7).pdf","file_id":"17446","access_level":"open_access","file_size":331775,"creator":"vwang","success":1,"date_updated":"2024-08-20T08:36:32Z","checksum":"ae386a4031856efac23c7cdcb53b559b","relation":"main_file"}],"researchdata_availability":"no","issue":"8","project":[{"name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020"}],"title":"Paucity phenomena for polynomial products","type":"journal_article","doi":"10.1112/blms.13095","publisher":"London Mathematical Society","department":[{"_id":"TiBr"}],"publication_status":"published","page":"2718-2726","date_created":"2024-06-09T22:01:03Z","article_processing_charge":"No","_id":"17127","acknowledgement":"We thank Oleksiy Klurman, Ilya Shkredov, and Igor Shparlinski for helpful comments on earlier versions of the paper, and thank Yotam Hendel for providing a reference for Lemma 2.1. We also thank the anonymous referee for their generous corrections and comments. The first author has received funding from the European Union's Horizon 2020 Research and Innovation Program under the Marie Skłodowska-Curie Grant Agreement Number: 101034413. The second author is partially supported by the Cuthbert C. Hurd Graduate Fellowship in the Mathematical Sciences, Stanford.","intvolume":" 56","author":[{"full_name":"Wang, Victor","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","orcid":"0000-0002-0704-7026","first_name":"Victor","last_name":"Wang"},{"last_name":"Xu","first_name":"Max Wenqiang","full_name":"Xu, Max Wenqiang"}],"date_published":"2024-08-01T00:00:00Z","external_id":{"isi":["001235729900001"],"arxiv":["2211.02908"]},"quality_controlled":"1"},{"das_tickbox":"0","date_updated":"2026-07-29T09:57:08Z","publication":"Journal of the Institute of Mathematics of Jussieu","abstract":[{"lang":"eng","text":"We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy–Littlewood circle method over number fields."}],"isi":1,"year":"2024","supplementarymaterial":"no","month":"11","language":[{"iso":"eng"}],"article_type":"original","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file_date_updated":"2025-01-09T08:56:33Z","day":"01","status":"public","scopus_import":"1","publication_identifier":{"eissn":["1475-3030"],"issn":["1474-7480"]},"arxiv":1,"OA_place":"publisher","has_accepted_license":"1","oa_version":"Published Version","oa":1,"volume":23,"citation":{"ama":"Browning TD, Pierce LB, Schindler D. Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu. 2024;23(6):2859-2912. doi:10.1017/S1474748024000161","mla":"Browning, Timothy D., et al. “Generalised Quadratic Forms over Totally Real Number Fields.” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 6, Cambridge University Press, 2024, pp. 2859–912, doi:10.1017/S1474748024000161.","chicago":"Browning, Timothy D, Lillian B. Pierce, and Damaris Schindler. “Generalised Quadratic Forms over Totally Real Number Fields.” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2024. https://doi.org/10.1017/S1474748024000161.","ista":"Browning TD, Pierce LB, Schindler D. 2024. Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu. 23(6), 2859–2912.","short":"T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu 23 (2024) 2859–2912.","apa":"Browning, T. D., Pierce, L. B., & Schindler, D. (2024). Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748024000161","ieee":"T. D. Browning, L. B. Pierce, and D. Schindler, “Generalised quadratic forms over totally real number fields,” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 6. Cambridge University Press, pp. 2859–2912, 2024."},"ddc":["510"],"quality_controlled":"1","OA_type":"hybrid","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"external_id":{"arxiv":["2212.11038"],"isi":["001200337400001"]},"date_published":"2024-11-01T00:00:00Z","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning","full_name":"Browning, Timothy D"},{"full_name":"Pierce, Lillian B.","last_name":"Pierce","first_name":"Lillian B."},{"full_name":"Schindler, Damaris","first_name":"Damaris","last_name":"Schindler"}],"intvolume":" 23","acknowledgement":"The authors are grateful to Jayce Getz for asking questions that set this project in motion and to the anonymous referee for useful comments. T.B. was supported by a FWF grant (DOI 10.55776/P32428) and by a grant from the Institute for Advanced Study School of Mathematics. L.B.P. was partially supported by NSF DMS-2200470 and DMS-1652173, and thanks the Hausdorff Centre for Mathematics for hosting research visits.","_id":"15338","article_processing_charge":"Yes (via OA deal)","corr_author":"1","date_created":"2024-04-21T22:00:53Z","page":"2859-2912","publication_status":"published","department":[{"_id":"TiBr"}],"publisher":"Cambridge University Press","type":"journal_article","doi":"10.1017/S1474748024000161","title":"Generalised quadratic forms over totally real number fields","project":[{"_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","grant_number":"P32428","call_identifier":"FWF","name":"New frontiers of the Manin conjecture"}],"issue":"6","researchdata_availability":"no","file":[{"success":1,"date_updated":"2025-01-09T08:56:33Z","relation":"main_file","checksum":"b300541d581a71d92314df5ae8c4cc09","date_created":"2025-01-09T08:56:33Z","file_name":"2024_JournInstMathJussieu_Browning.pdf","content_type":"application/pdf","file_id":"18793","creator":"dernst","file_size":690974,"access_level":"open_access"}]},{"department":[{"_id":"TiBr"}],"publication_status":"published","publisher":"Springer Nature","type":"journal_article","doi":"10.1007/s00208-024-02854-4","project":[{"name":"New frontiers of the Manin conjecture","call_identifier":"FWF","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","grant_number":"P32428"}],"title":"Density of rational points on some quadric bundle threefolds","file":[{"date_updated":"2025-01-09T09:08:14Z","relation":"main_file","checksum":"5dd51531deb1e4760c38c3c0c7d5aedc","success":1,"file_id":"18796","file_size":1019116,"creator":"dernst","access_level":"open_access","date_created":"2025-01-09T09:08:14Z","file_name":"2024_MathAnnalen_Bonolis.pdf","content_type":"application/pdf"}],"researchdata_availability":"no","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"external_id":{"arxiv":["2204.09322"],"isi":["001204670500001"]},"date_published":"2024-11-01T00:00:00Z","quality_controlled":"1","OA_type":"hybrid","author":[{"full_name":"Bonolis, Dante","last_name":"Bonolis","id":"6A459894-5FDD-11E9-AF35-BB24E6697425","first_name":"Dante"},{"full_name":"Browning, Timothy D","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","last_name":"Browning"},{"full_name":"Huang, Zhizhong","id":"21f1b52f-2fd1-11eb-a347-a4cdb9b18a51","first_name":"Zhizhong","last_name":"Huang"}],"intvolume":" 390","_id":"15337","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).The authors are grateful to Florian Wilsch for useful comments. While working on this paper the authors were supported by FWF grant P 32428.","page":"4123-4207","article_processing_charge":"Yes (via OA deal)","corr_author":"1","date_created":"2024-04-21T22:00:53Z","publication_identifier":{"eissn":["1432-1807"],"issn":["0025-5831"]},"status":"public","oa_version":"Published Version","oa":1,"has_accepted_license":"1","arxiv":1,"OA_place":"publisher","citation":{"chicago":"Bonolis, Dante, Timothy D Browning, and Zhizhong Huang. “Density of Rational Points on Some Quadric Bundle Threefolds.” Mathematische Annalen. Springer Nature, 2024. https://doi.org/10.1007/s00208-024-02854-4.","mla":"Bonolis, Dante, et al. “Density of Rational Points on Some Quadric Bundle Threefolds.” Mathematische Annalen, vol. 390, Springer Nature, 2024, pp. 4123–207, doi:10.1007/s00208-024-02854-4.","ama":"Bonolis D, Browning TD, Huang Z. Density of rational points on some quadric bundle threefolds. Mathematische Annalen. 2024;390:4123-4207. doi:10.1007/s00208-024-02854-4","short":"D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen 390 (2024) 4123–4207.","ieee":"D. Bonolis, T. D. Browning, and Z. Huang, “Density of rational points on some quadric bundle threefolds,” Mathematische Annalen, vol. 390. Springer Nature, pp. 4123–4207, 2024.","apa":"Bonolis, D., Browning, T. D., & Huang, Z. (2024). Density of rational points on some quadric bundle threefolds. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-024-02854-4","ista":"Bonolis D, Browning TD, Huang Z. 2024. Density of rational points on some quadric bundle threefolds. Mathematische Annalen. 390, 4123–4207."},"volume":390,"ddc":["510"],"publication":"Mathematische Annalen","das_tickbox":"0","date_updated":"2026-07-29T09:56:42Z","isi":1,"year":"2024","abstract":[{"lang":"eng","text":"We prove the Manin–Peyre conjecture for the number of rational points of bounded height outside of a thin subset on a family of Fano threefolds of bidegree (1, 2)."}],"supplementarymaterial":"no","month":"11","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file_date_updated":"2025-01-09T09:08:14Z","day":"01","language":[{"iso":"eng"}],"article_type":"original"},{"department":[{"_id":"TiBr"}],"publication_status":"published","doi":"10.1093/qmath/haae044","type":"journal_article","publisher":"Oxford University Press","title":"Sumsets in the set of squares","file":[{"file_name":"2024_QuarterlyJourMath_Elsholtz.pdf","content_type":"application/pdf","date_created":"2025-01-28T07:03:51Z","creator":"dernst","file_size":424645,"access_level":"open_access","file_id":"18931","success":1,"relation":"main_file","checksum":"1a06e052761d3f1e873463d6f529dd82","date_updated":"2025-01-28T07:03:51Z"}],"researchdata_availability":"no","issue":"4","date_published":"2024-12-01T00:00:00Z","external_id":{"isi":["001304396600001"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"OA_type":"hybrid","quality_controlled":"1","intvolume":" 75","author":[{"full_name":"Elsholtz, Christian","last_name":"Elsholtz","first_name":"Christian"},{"full_name":"Wurzinger, Lena","id":"50c57d72-32a8-11ee-aeea-d652094d2ccd","orcid":"0009-0004-5360-0074","first_name":"Lena","last_name":"Wurzinger"}],"_id":"18930","acknowledgement":"This manuscript grew out of the second author’s MSc Thesis at Graz University of Technology [34]. C. Elsholtz is supported by a joint FWF-ANR project ArithRand, grant numbers FWF I 4945-N and ANR-20-CE91-0006. Both authors would like to thank Igor Shparlinski for drawing our attention to related character sum estimates. Furthermore, we would like to thank the referee for a careful reading of the paper.","page":"1243-1254","date_created":"2025-01-28T06:55:31Z","corr_author":"1","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","publication_identifier":{"eissn":["1464-3847"],"issn":["0033-5606"]},"status":"public","oa":1,"has_accepted_license":"1","oa_version":"Published Version","OA_place":"publisher","citation":{"short":"C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024) 1243–1254.","apa":"Elsholtz, C., & Wurzinger, L. (2024). Sumsets in the set of squares. The Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qmath/haae044","ieee":"C. Elsholtz and L. Wurzinger, “Sumsets in the set of squares,” The Quarterly Journal of Mathematics, vol. 75, no. 4. Oxford University Press, pp. 1243–1254, 2024.","ista":"Elsholtz C, Wurzinger L. 2024. Sumsets in the set of squares. The Quarterly Journal of Mathematics. 75(4), 1243–1254.","chicago":"Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.” The Quarterly Journal of Mathematics. Oxford University Press, 2024. https://doi.org/10.1093/qmath/haae044.","ama":"Elsholtz C, Wurzinger L. Sumsets in the set of squares. The Quarterly Journal of Mathematics. 2024;75(4):1243-1254. doi:10.1093/qmath/haae044","mla":"Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.” The Quarterly Journal of Mathematics, vol. 75, no. 4, Oxford University Press, 2024, pp. 1243–54, doi:10.1093/qmath/haae044."},"volume":75,"ddc":["510"],"publication":"The Quarterly Journal of Mathematics","date_updated":"2026-07-29T09:58:28Z","das_tickbox":"0","year":"2024","isi":1,"abstract":[{"lang":"eng","text":"We study sumsets 𝒜 + ℬ in the set of squares 𝒮 (and, more generally, in the set of kth powers 𝒮k, where k ≥2 is an integer). It is known by a result of Gyarmati that 𝒜 + ℬ ⊂ 𝒮k ∩[1,N] implies that min(|𝒜|,|ℬ|) =Ok(logN). Here, we study how the upper bound on |ℬ| decreases, when the size of |𝒜| increases (or vice versa). In particular, if |𝒜| ≥ Ck1m m(logN)1m , then |ℬ| = Ok(m2logN), for sufficiently large N, a positive integer m and an explicit constant C > 0. For example, with m ∼ loglogN this gives: If |𝒜| ≥ CkloglogN,then |ℬ| = Ok(logN(loglogN)2)."}],"month":"12","PlanS_conform":"1","supplementarymaterial":"no","file_date_updated":"2025-01-28T07:03:51Z","day":"01","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_type":"original","language":[{"iso":"eng"}]},{"file":[{"success":1,"relation":"main_file","checksum":"614032802febde0aa8e904e9a8ef99ab","date_updated":"2025-01-09T09:00:02Z","file_name":"2024_JourNumberTheory_Browning.pdf","content_type":"application/pdf","date_created":"2025-01-09T09:00:02Z","creator":"dernst","file_size":394850,"access_level":"open_access","file_id":"18794"}],"researchdata_availability":"no","title":"Square-free values of random polynomials","publisher":"Elsevier","doi":"10.1016/j.jnt.2024.02.013","type":"journal_article","department":[{"_id":"TiBr"}],"publication_status":"published","page":"220-240","corr_author":"1","article_processing_charge":"No","date_created":"2024-04-14T22:01:00Z","_id":"15312","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning","full_name":"Browning, Timothy D"},{"full_name":"Shparlinski, Igor E.","first_name":"Igor E.","last_name":"Shparlinski"}],"intvolume":" 261","external_id":{"isi":["001220725000001"],"arxiv":["2305.15493"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"date_published":"2024-08-01T00:00:00Z","quality_controlled":"1","OA_type":"hybrid","ddc":["510"],"citation":{"mla":"Browning, Timothy D., and Igor E. Shparlinski. “Square-Free Values of Random Polynomials.” Journal of Number Theory, vol. 261, Elsevier, 2024, pp. 220–40, doi:10.1016/j.jnt.2024.02.013.","ama":"Browning TD, Shparlinski IE. Square-free values of random polynomials. Journal of Number Theory. 2024;261:220-240. doi:10.1016/j.jnt.2024.02.013","chicago":"Browning, Timothy D, and Igor E. Shparlinski. “Square-Free Values of Random Polynomials.” Journal of Number Theory. Elsevier, 2024. https://doi.org/10.1016/j.jnt.2024.02.013.","ista":"Browning TD, Shparlinski IE. 2024. Square-free values of random polynomials. Journal of Number Theory. 261, 220–240.","ieee":"T. D. Browning and I. E. Shparlinski, “Square-free values of random polynomials,” Journal of Number Theory, vol. 261. Elsevier, pp. 220–240, 2024.","apa":"Browning, T. D., & Shparlinski, I. E. (2024). Square-free values of random polynomials. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2024.02.013","short":"T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 220–240."},"volume":261,"has_accepted_license":"1","oa_version":"Published Version","oa":1,"arxiv":1,"OA_place":"publisher","scopus_import":"1","publication_identifier":{"issn":["0022-314X"]},"status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","day":"01","file_date_updated":"2025-01-09T09:00:02Z","language":[{"iso":"eng"}],"article_type":"original","supplementarymaterial":"no","month":"08","isi":1,"year":"2024","abstract":[{"lang":"eng","text":"The question of whether or not a given integral polynomial takes infinitely many square-free values has only been addressed unconditionally for polynomials of degree at most 3. We address this question, on average, for polynomials of arbitrary degree."}],"publication":"Journal of Number Theory","das_tickbox":"0","date_updated":"2026-07-29T09:55:38Z"},{"isi":1,"year":"2024","abstract":[{"lang":"eng","text":"This paper corrects an error in an earlier work of the author."}],"publication":"International Mathematics Research Notices","das_tickbox":"0","date_updated":"2026-07-29T09:59:57Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file_date_updated":"2025-02-18T07:56:36Z","day":"01","language":[{"iso":"eng"}],"article_type":"original","supplementarymaterial":"no","month":"07","has_accepted_license":"1","oa":1,"oa_version":"Published Version","OA_place":"publisher","publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"scopus_import":"1","status":"public","ddc":["510"],"citation":{"mla":"Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices, vol. 2024, no. 13, Oxford University Press, 2024, pp. 10165–68, doi:10.1093/imrn/rnae066.","ama":"Browning TD. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2024;2024(13):10165-10168. doi:10.1093/imrn/rnae066","chicago":"Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae066.","ista":"Browning TD. 2024. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2024(13), 10165–10168.","short":"T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.","ieee":"T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” International Mathematics Research Notices, vol. 2024, no. 13. Oxford University Press, pp. 10165–10168, 2024.","apa":"Browning, T. D. (2024). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnae066"},"volume":2024,"author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Browning, Timothy D"}],"intvolume":" 2024","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"external_id":{"isi":["001196957300001"]},"date_published":"2024-07-01T00:00:00Z","quality_controlled":"1","OA_type":"hybrid","page":"10165-10168","article_processing_charge":"Yes (via OA deal)","corr_author":"1","date_created":"2025-02-18T07:15:50Z","related_material":{"record":[{"id":"254","status":"public","relation":"earlier_version"}]},"_id":"19051","publisher":"Oxford University Press","type":"journal_article","doi":"10.1093/imrn/rnae066","department":[{"_id":"TiBr"}],"publication_status":"published","file":[{"file_size":205750,"creator":"dernst","access_level":"open_access","file_id":"19052","file_name":"2024_IMRN_Browning.pdf","content_type":"application/pdf","date_created":"2025-02-18T07:56:36Z","relation":"main_file","checksum":"b625b8adf018d2a97591813c1fc17b96","date_updated":"2025-02-18T07:56:36Z","success":1}],"issue":"13","researchdata_availability":"no","title":"The polynomial sieve and equal sums of like polynomials"},{"keyword":["Integral points","del Pezzo surface","universal torsor","Manin’s conjecture"],"date_created":"2021-09-15T10:06:48Z","corr_author":"1","article_processing_charge":"Yes (via OA deal)","page":"1259-1294","acknowledgement":"The first author was partly supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft. The second author was partly supported by FWF grant P 32428-N35 and conducted part of this work as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.","_id":"10018","intvolume":" 23","author":[{"last_name":"Derenthal","first_name":"Ulrich","full_name":"Derenthal, Ulrich"},{"last_name":"Wilsch","first_name":"Florian Alexander","id":"560601DA-8D36-11E9-A136-7AC1E5697425","orcid":"0000-0001-7302-8256","full_name":"Wilsch, Florian Alexander"}],"quality_controlled":"1","date_published":"2024-05-10T00:00:00Z","external_id":{"isi":["000881319200001"],"arxiv":["2109.06778"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"researchdata_availability":"no","issue":"3","file":[{"success":1,"relation":"main_file","checksum":"c4698ea12cfe10ef2c6c79880290c7ac","date_updated":"2024-06-03T08:33:29Z","file_name":"2024_JourMathJussieu_Derenthal.pdf","content_type":"application/pdf","date_created":"2024-06-03T08:33:29Z","file_size":592305,"creator":"dernst","access_level":"open_access","file_id":"17102"}],"project":[{"name":"New frontiers of the Manin conjecture","grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"title":"Integral points on singular del Pezzo surfaces","doi":"10.1017/S1474748022000482","type":"journal_article","publisher":"Cambridge University Press","publication_status":"published","department":[{"_id":"TiBr"}],"article_type":"original","language":[{"iso":"eng"}],"day":"10","file_date_updated":"2024-06-03T08:33:29Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"05","supplementarymaterial":"no","abstract":[{"text":"In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type A1 + A3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.","lang":"eng"}],"year":"2024","isi":1,"date_updated":"2026-07-29T10:00:51Z","das_tickbox":"0","publication":"Journal of the Institute of Mathematics of Jussieu","ddc":["510"],"volume":23,"citation":{"ista":"Derenthal U, Wilsch FA. 2024. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 23(3), 1259–1294.","short":"U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294.","apa":"Derenthal, U., & Wilsch, F. A. (2024). Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748022000482","ieee":"U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 3. Cambridge University Press, pp. 1259–1294, 2024.","mla":"Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 3, Cambridge University Press, 2024, pp. 1259–94, doi:10.1017/S1474748022000482.","ama":"Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 2024;23(3):1259-1294. doi:10.1017/S1474748022000482","chicago":"Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2024. https://doi.org/10.1017/S1474748022000482."},"arxiv":1,"has_accepted_license":"1","oa_version":"Published Version","oa":1,"status":"public","publication_identifier":{"issn":["1474-7480"],"eissn":["1475-3030 "]},"scopus_import":"1"},{"language":[{"iso":"eng"}],"article_type":"original","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","day":"14","file_date_updated":"2024-08-21T06:36:40Z","supplementarymaterial":"no","month":"08","abstract":[{"text":"Let F be a diagonal cubic form over Z in six variables. From the dual variety in the delta method of Duke–Friedlander–Iwaniec and Heath‐Brown, we unconditionally extract a weighted count of certain special integral zeros of F in regions of diameter X - 8 . Heath‐Brown did the same in four variables, but our analysis differs and captures some novel features. We also put forth an axiomatic framework for more general F.","lang":"eng"}],"isi":1,"year":"2024","das_tickbox":"0","date_updated":"2026-07-29T10:02:22Z","publication":"Journal of the London Mathematical Society","ddc":["512"],"volume":110,"ec_funded":1,"citation":{"ista":"Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 110(3), e12975.","apa":"Wang, V. (2024). Special cubic zeros and the dual variety. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.12975","ieee":"V. Wang, “Special cubic zeros and the dual variety,” Journal of the London Mathematical Society, vol. 110, no. 3. Wiley, 2024.","short":"V. Wang, Journal of the London Mathematical Society 110 (2024).","mla":"Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society, vol. 110, no. 3, e12975, Wiley, 2024, doi:10.1112/jlms.12975.","ama":"Wang V. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 2024;110(3). doi:10.1112/jlms.12975","chicago":"Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society. Wiley, 2024. https://doi.org/10.1112/jlms.12975."},"arxiv":1,"has_accepted_license":"1","oa_version":"Published Version","oa":1,"article_number":"e12975","status":"public","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"scopus_import":"1","corr_author":"1","article_processing_charge":"Yes (via OA deal)","date_created":"2024-08-20T08:41:40Z","acknowledgement":"This paper is an important component of the thesis work described in [25]; many of my acknowledgements there apply here as well. I also thank my advisor, Peter Sarnak, for many helpful suggestions and questions on the exposition, references, assumptions, and scope of (various drafts of) the present work. I am also grateful to Trevor Wooley for providing some helpful general comments on special subvarieties and the reference [24]. I thank Tim Browning for inspiring part of the current title of the paper. Finally, thanks are due to the referee for providing many helpful suggestions. This work was partially supported by NSF grant DMS-1802211, and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant AgreementNo. 101034413.","_id":"17447","author":[{"full_name":"Wang, Victor","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","orcid":"0000-0002-0704-7026","first_name":"Victor","last_name":"Wang"}],"intvolume":" 110","quality_controlled":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"external_id":{"isi":["001310529600001"],"arxiv":["2108.03396"]},"date_published":"2024-08-14T00:00:00Z","issue":"3","researchdata_availability":"no","file":[{"date_updated":"2024-08-21T06:36:40Z","checksum":"90437e19f57520b4d66ca62408f6c81e","relation":"main_file","success":1,"file_id":"17454","access_level":"open_access","file_size":438751,"creator":"dernst","date_created":"2024-08-21T06:36:40Z","content_type":"application/pdf","file_name":"2024_JourLondonMathSoc_Wang.pdf"}],"title":"Special cubic zeros and the dual variety","project":[{"call_identifier":"H2020","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program"}],"publisher":"Wiley","type":"journal_article","doi":"10.1112/jlms.12975","publication_status":"published","department":[{"_id":"TiBr"}]},{"author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning","full_name":"Browning, Timothy D"},{"id":"7aa8f170-131e-11ed-88e1-a9efd01027cb","orcid":"0000-0002-0854-0306","first_name":"Matteo","last_name":"Verzobio","full_name":"Verzobio, Matteo"}],"intvolume":" 70","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"external_id":{"isi":["001273912800001"]},"date_published":"2024-10-01T00:00:00Z","quality_controlled":"1","OA_type":"hybrid","article_processing_charge":"Yes (via OA deal)","corr_author":"1","date_created":"2024-07-28T22:01:08Z","_id":"17323","acknowledgement":"The authors are very grateful to Andrew Granville, Dimitris Koukoulopoulos, Davide Lombardo,Florian Luca, Igor Shparlinski and Joni Teräväinen for useful comments. While working on thispaper, the first author was supported by a FWF Grant (DOI 10.55776/P36278) and the secondauthor was supported by the European Union’s Horizon 2020 research and innovation programunder the Marie Skłodowska-Curie Grant Agreement Number 101034413.","publisher":"London Mathematical Society","doi":"10.1112/mtk.12269","type":"journal_article","department":[{"_id":"TiBr"}],"publication_status":"published","file":[{"date_created":"2025-01-13T11:06:25Z","content_type":"application/pdf","file_name":"2024_Mathematika_Browning.pdf","file_id":"18842","access_level":"open_access","creator":"dernst","file_size":273006,"success":1,"date_updated":"2025-01-13T11:06:25Z","checksum":"0b1518bdc1a901413005c19202cfa497","relation":"main_file"}],"issue":"4","researchdata_availability":"no","title":"Strong divisibility sequences and sieve methods","project":[{"grant_number":"P36278","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","name":"Rational curves via function field analytic number theory"},{"name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","call_identifier":"H2020"}],"isi":1,"year":"2024","abstract":[{"text":"We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence that only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods. At the end of the paper, there is an appendix by Sandro Bettin on divisor closed sets that we use to study the density of prime terms that appear in strong divisibility sequences.","lang":"eng"}],"publication":"Mathematika","das_tickbox":"0","date_updated":"2026-07-29T10:01:24Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file_date_updated":"2025-01-13T11:06:25Z","day":"01","language":[{"iso":"eng"}],"article_type":"original","supplementarymaterial":"no","month":"10","oa_version":"Published Version","oa":1,"has_accepted_license":"1","OA_place":"publisher","publication_identifier":{"issn":["0025-5793"],"eissn":["2041-7942"]},"scopus_import":"1","article_number":"e12269","status":"public","ddc":["510"],"citation":{"chicago":"Browning, Timothy D, and Matteo Verzobio. “Strong Divisibility Sequences and Sieve Methods.” Mathematika. London Mathematical Society, 2024. https://doi.org/10.1112/mtk.12269.","mla":"Browning, Timothy D., and Matteo Verzobio. “Strong Divisibility Sequences and Sieve Methods.” Mathematika, vol. 70, no. 4, e12269, London Mathematical Society, 2024, doi:10.1112/mtk.12269.","ama":"Browning TD, Verzobio M. Strong divisibility sequences and sieve methods. Mathematika. 2024;70(4). doi:10.1112/mtk.12269","apa":"Browning, T. D., & Verzobio, M. (2024). Strong divisibility sequences and sieve methods. Mathematika. London Mathematical Society. https://doi.org/10.1112/mtk.12269","ieee":"T. D. Browning and M. Verzobio, “Strong divisibility sequences and sieve methods,” Mathematika, vol. 70, no. 4. London Mathematical Society, 2024.","short":"T.D. Browning, M. Verzobio, Mathematika 70 (2024).","ista":"Browning TD, Verzobio M. 2024. Strong divisibility sequences and sieve methods. Mathematika. 70(4), e12269."},"volume":70,"ec_funded":1},{"supplementarymaterial":"no","month":"11","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file_date_updated":"2025-01-13T08:54:09Z","day":"01","language":[{"iso":"eng"}],"article_type":"original","publication":"Advances in Mathematics","das_tickbox":"0","date_updated":"2026-07-29T10:03:09Z","year":"2024","abstract":[{"text":" We show that the total number of non-torsion integral points on the elliptic curves ED : y\r\n2 = x3 − D2x, where D ranges over positive squarefree integers less than N, is O(N(log N)\r\n−1/4+ǫ). The proof involves a discriminant-lowering procedure on integral binary quartic forms and an application of Heath-Brown’s method on estimating the average size of the 2-Selmer group of the curves in this family.","lang":"eng"}],"citation":{"apa":"Chan, S. (2024). The average number of integral points on the congruent number curves. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109946","ieee":"S. Chan, “The average number of integral points on the congruent number curves,” Advances in Mathematics, vol. 457, no. 11. Elsevier, 2024.","short":"S. Chan, Advances in Mathematics 457 (2024).","ista":"Chan S. 2024. The average number of integral points on the congruent number curves. Advances in Mathematics. 457(11), 109946.","chicago":"Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109946.","ama":"Chan S. The average number of integral points on the congruent number curves. Advances in Mathematics. 2024;457(11). doi:10.1016/j.aim.2024.109946","mla":"Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics, vol. 457, no. 11, 109946, Elsevier, 2024, doi:10.1016/j.aim.2024.109946."},"volume":457,"ddc":["510"],"scopus_import":"1","publication_identifier":{"issn":["0001-8708"],"eissn":["1090-2082"]},"article_number":"109946","status":"public","oa":1,"has_accepted_license":"1","oa_version":"Published Version","arxiv":1,"OA_place":"publisher","_id":"18064","corr_author":"1","article_processing_charge":"Yes (via OA deal)","date_created":"2024-09-15T22:01:39Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"external_id":{"arxiv":["2112.01615"]},"date_published":"2024-11-01T00:00:00Z","quality_controlled":"1","OA_type":"hybrid","author":[{"last_name":"Chan","first_name":"Yik Tung","orcid":"0000-0001-8467-4106","id":"c4c0afc8-9262-11ed-9231-d8b0bc743af1","full_name":"Chan, Yik Tung"}],"intvolume":" 457","title":"The average number of integral points on the congruent number curves","file":[{"relation":"main_file","checksum":"f555742540ad91a3040aeafd68b1fcde","date_updated":"2025-01-13T08:54:09Z","success":1,"file_size":564386,"creator":"dernst","access_level":"open_access","file_id":"18829","file_name":"2024_AdvancesMath_Chan.pdf","content_type":"application/pdf","date_created":"2025-01-13T08:54:09Z"}],"issue":"11","researchdata_availability":"no","department":[{"_id":"TiBr"}],"publication_status":"published","publisher":"Elsevier","type":"journal_article","doi":"10.1016/j.aim.2024.109946"},{"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"18132"}]},"date_created":"2024-10-06T22:01:11Z","article_processing_charge":"Yes (via OA deal)","corr_author":"1","_id":"18173","acknowledgement":"The author would like to thank his supervisor Tim Browning for suggesting this project and many helpful conversations and Pankaj Vishe for useful comments. Moreover, he is grateful to Dante Bonolis and Julian Lyczak for sharing their expertise in exponential sums and geometry. While working on this paper, the author was supported by FWF grant (DOI 10.55776/P36278).","intvolume":" 110","author":[{"last_name":"Glas","first_name":"Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","full_name":"Glas, Jakob"}],"date_published":"2024-10-01T00:00:00Z","external_id":{"arxiv":["2306.02718"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"quality_controlled":"1","file":[{"success":1,"checksum":"11ebf690363151026ce81f91f2220855","relation":"main_file","date_updated":"2024-10-07T08:51:01Z","content_type":"application/pdf","file_name":"2024_JLondonMathSoc_Glas.pdf","date_created":"2024-10-07T08:51:01Z","access_level":"open_access","file_size":579601,"creator":"dernst","file_id":"18181"}],"researchdata_availability":"no","issue":"4","project":[{"_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","grant_number":"P36278","name":"Rational curves via function field analytic number theory"}],"title":"Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t)","type":"journal_article","doi":"10.1112/jlms.12991","publisher":"London Mathematical Society","department":[{"_id":"TiBr"}],"publication_status":"published","day":"01","file_date_updated":"2024-10-07T08:51:01Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_type":"original","language":[{"iso":"eng"}],"month":"10","supplementarymaterial":"no","year":"2024","abstract":[{"text":"Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least 23 over Fq(t), provided char (Fq)>3. Under the same hypotheses, we also verify weak approximation.","lang":"eng"}],"publication":"Journal of the London Mathematical Society","date_updated":"2026-07-29T10:04:55Z","das_tickbox":"0","ddc":["510"],"citation":{"mla":"Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” Journal of the London Mathematical Society, vol. 110, no. 4, e12991, London Mathematical Society, 2024, doi:10.1112/jlms.12991.","ama":"Glas J. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. 2024;110(4). doi:10.1112/jlms.12991","chicago":"Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” Journal of the London Mathematical Society. London Mathematical Society, 2024. https://doi.org/10.1112/jlms.12991.","ista":"Glas J. 2024. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. 110(4), e12991.","short":"J. Glas, Journal of the London Mathematical Society 110 (2024).","apa":"Glas, J. (2024). Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/jlms.12991","ieee":"J. Glas, “Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t),” Journal of the London Mathematical Society, vol. 110, no. 4. London Mathematical Society, 2024."},"volume":110,"oa":1,"oa_version":"Published Version","has_accepted_license":"1","arxiv":1,"publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"scopus_import":"1","status":"public","article_number":"e12991"},{"title":"Canonical singularities on moduli spaces of rational curves via the circle method","project":[{"name":"Rational curves via function field analytic number theory","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","grant_number":"P36278"}],"researchdata_availability":"no","department":[{"_id":"TiBr"}],"publication_status":"submitted","doi":"10.48550/arXiv.2405.16648","type":"preprint","_id":"18295","related_material":{"record":[{"relation":"later_version","status":"public","id":"19013"},{"status":"public","relation":"dissertation_contains","id":"18132"}]},"date_created":"2024-10-10T13:15:43Z","corr_author":"1","article_processing_charge":"No","date_published":"2024-05-26T00:00:00Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"external_id":{"arxiv":["2405.16648"]},"author":[{"full_name":"Glas, Jakob","last_name":"Glas","first_name":"Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb"}],"citation":{"chicago":"Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the Circle Method.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2405.16648.","ama":"Glas J. Canonical singularities on moduli spaces of rational curves via the circle method. arXiv. doi:10.48550/arXiv.2405.16648","mla":"Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the Circle Method.” ArXiv, doi:10.48550/arXiv.2405.16648.","apa":"Glas, J. (n.d.). Canonical singularities on moduli spaces of rational curves via the circle method. arXiv. https://doi.org/10.48550/arXiv.2405.16648","ieee":"J. Glas, “Canonical singularities on moduli spaces of rational curves via the circle method,” arXiv. .","short":"J. Glas, ArXiv (n.d.).","ista":"Glas J. Canonical singularities on moduli spaces of rational curves via the circle method. arXiv, 10.48550/arXiv.2405.16648."},"status":"public","oa_version":"Preprint","oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.16648","open_access":"1"}],"OA_place":"repository","arxiv":1,"month":"05","supplementarymaterial":"no","day":"26","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","language":[{"iso":"eng"}],"publication":"arXiv","date_updated":"2026-07-29T10:05:58Z","das_tickbox":"0","year":"2024","abstract":[{"lang":"eng","text":"By developing a suitable version of the circle method, we show that the space of degree e rational curves on a smooth hypersurface of degree d has only canonical singularities provided its dimension is sufficiently large with respect to e and d."}]},{"citation":{"apa":"Glas, J., & Hase-Liu, M. (n.d.). Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv. https://doi.org/10.48550/arXiv.2412.14923","ieee":"J. Glas and M. Hase-Liu, “Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method,” arXiv. .","short":"J. Glas, M. Hase-Liu, ArXiv (n.d.).","ista":"Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv, 10.48550/arXiv.2412.14923.","chicago":"Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2412.14923.","ama":"Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv. doi:10.48550/arXiv.2412.14923","mla":"Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, doi:10.48550/arXiv.2412.14923."},"oa":1,"oa_version":"Preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2412.14923","open_access":"1"}],"OA_place":"repository","arxiv":1,"status":"public","day":"19","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","language":[{"iso":"eng"}],"month":"12","supplementarymaterial":"no","year":"2024","abstract":[{"text":"We study the singularities of the moduli space of degree e maps from smooth genus g curves to an arbitrary smooth hypersurface of low degree. For e large compared to g, we show that these moduli spaces have at worst terminal singularities. Our main approach is to study the jet schemes of these moduli spaces by developing a suitable form of the circle method.","lang":"eng"}],"publication":"arXiv","date_updated":"2026-07-29T10:05:58Z","das_tickbox":"0","researchdata_availability":"no","title":"Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method","doi":"10.48550/arXiv.2412.14923","type":"preprint","department":[{"_id":"TiBr"}],"publication_status":"draft","related_material":{"record":[{"id":"18295","relation":"earlier_version","status":"public"}]},"date_created":"2025-02-07T12:04:11Z","article_processing_charge":"No","corr_author":"1","_id":"19013","author":[{"last_name":"Glas","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","first_name":"Jakob","full_name":"Glas, Jakob"},{"last_name":"Hase-Liu","first_name":"Matthew ","full_name":"Hase-Liu, Matthew "}],"date_published":"2024-12-19T00:00:00Z","external_id":{"arxiv":["2412.14923"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"}},{"department":[{"_id":"StFr"},{"_id":"GradSch"}],"publication_status":"published","publisher":"Wiley","doi":"10.1002/anie.202316476","type":"journal_article","project":[{"name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"title":"To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries","file":[{"content_type":"application/pdf","file_name":"2024_AngChemieInt_Jethwa.pdf","date_created":"2024-07-16T11:54:46Z","access_level":"open_access","creator":"dernst","file_size":4766445,"file_id":"17261","success":1,"checksum":"fe2c23454279eb9d76ed6ca9970c21c7","relation":"main_file","date_updated":"2024-07-16T11:54:46Z"}],"issue":"28","external_id":{"pmid":["38095355"],"isi":["001241932700001"]},"tmp":{"image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","short":"CC BY-NC-ND (4.0)"},"date_published":"2024-07-08T00:00:00Z","quality_controlled":"1","author":[{"full_name":"Jethwa, Rajesh B","id":"4cc538d5-803f-11ed-ab7e-8139573aad8f","orcid":"0000-0002-0404-4356","first_name":"Rajesh B","last_name":"Jethwa"},{"last_name":"Mondal","id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48","first_name":"Soumyadip","full_name":"Mondal, Soumyadip"},{"full_name":"Pant, Bhargavi","first_name":"Bhargavi","id":"50c64d4d-eb97-11eb-a6c2-d33e5e14f112","last_name":"Pant"},{"full_name":"Freunberger, Stefan Alexander","last_name":"Freunberger","first_name":"Stefan Alexander","orcid":"0000-0003-2902-5319","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425"}],"intvolume":" 63","_id":"14687","acknowledgement":"S.A.F. is indebted to ISTA for support. R.B.J. thanks the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101034413 for funding. B.P. thanks Alistore ERI for providing a PhD scholarship.","corr_author":"1","article_processing_charge":"Yes (via OA deal)","related_material":{"record":[{"id":"20607","relation":"dissertation_contains","status":"public"}]},"keyword":["General Chemistry","Catalysis"],"date_created":"2023-12-15T16:10:13Z","publication_identifier":{"issn":["1433-7851"],"eissn":["1521-3773"]},"scopus_import":"1","article_number":"e202316476","status":"public","oa_version":"Published Version","has_accepted_license":"1","oa":1,"citation":{"ieee":"R. B. Jethwa, S. Mondal, B. Pant, and S. A. Freunberger, “To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries,” Angewandte Chemie International Edition, vol. 63, no. 28. Wiley, 2024.","apa":"Jethwa, R. B., Mondal, S., Pant, B., & Freunberger, S. A. (2024). To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International Edition. Wiley. https://doi.org/10.1002/anie.202316476","short":"R.B. Jethwa, S. Mondal, B. Pant, S.A. Freunberger, Angewandte Chemie International Edition 63 (2024).","ista":"Jethwa RB, Mondal S, Pant B, Freunberger SA. 2024. To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International Edition. 63(28), e202316476.","chicago":"Jethwa, Rajesh B, Soumyadip Mondal, Bhargavi Pant, and Stefan Alexander Freunberger. “To DISP or Not? The Far‐reaching Reaction Mechanisms Underpinning Lithium‐air Batteries.” Angewandte Chemie International Edition. Wiley, 2024. https://doi.org/10.1002/anie.202316476.","mla":"Jethwa, Rajesh B., et al. “To DISP or Not? The Far‐reaching Reaction Mechanisms Underpinning Lithium‐air Batteries.” Angewandte Chemie International Edition, vol. 63, no. 28, e202316476, Wiley, 2024, doi:10.1002/anie.202316476.","ama":"Jethwa RB, Mondal S, Pant B, Freunberger SA. To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International Edition. 2024;63(28). doi:10.1002/anie.202316476"},"volume":63,"ec_funded":1,"ddc":["540"],"pmid":1,"publication":"Angewandte Chemie International Edition","date_updated":"2026-07-29T12:57:15Z","isi":1,"year":"2024","abstract":[{"lang":"eng","text":"The short history of research on Li-O2 batteries has seen a remarkable number of mechanistic U-turns over the years. From the initial use of carbonate electrolytes, that were then found to be entirely unsuitable, to the belief that (su)peroxide was solely responsible for degradation, before the more reactive singlet oxygen was found to form, to the hypothesis that capacity depends on a competing surface/solution mechanism before a practically exclusive solution mechanism was identified. Herein, we argue for an ever-fresh look at the reported data without bias towards supposedly established explanations. We explain how the latest findings on rate and capacity limits, as well as the origin of side reactions, are connected via the disproportionation (DISP) step in the (dis)charge mechanism. Therefrom, directions emerge for the design of electrolytes and mediators on how to suppress side reactions and to enable high rate and high reversible capacity."}],"month":"07","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","day":"08","file_date_updated":"2024-07-16T11:54:46Z","language":[{"iso":"eng"}],"article_type":"review"},{"department":[{"_id":"StFr"},{"_id":"Bio"}],"publication_status":"published","publisher":"Royal Society of Chemistry","doi":"10.1039/d3fd00088e","type":"journal_article","license":"https://creativecommons.org/licenses/by-nc/3.0/","title":"Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes","file":[{"date_created":"2024-07-16T07:46:39Z","file_name":"2024_FaradayDiscussions_Mondal.pdf","content_type":"application/pdf","file_id":"17249","creator":"dernst","file_size":1303733,"access_level":"open_access","success":1,"date_updated":"2024-07-16T07:46:39Z","relation":"main_file","checksum":"6515a227ed3e8942496fe6a1feeffd18"}],"tmp":{"image":"/images/cc_by_nc.png","name":"Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/3.0/legalcode","short":"CC BY-NC (3.0)"},"external_id":{"pmid":["37750344"],"isi":["001070423500001"]},"date_published":"2024-01-01T00:00:00Z","quality_controlled":"1","author":[{"full_name":"Mondal, Soumyadip","first_name":"Soumyadip","id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48","last_name":"Mondal"},{"last_name":"Jethwa","orcid":"0000-0002-0404-4356","id":"4cc538d5-803f-11ed-ab7e-8139573aad8f","first_name":"Rajesh B","full_name":"Jethwa, Rajesh B"},{"full_name":"Pant, Bhargavi","last_name":"Pant","id":"50c64d4d-eb97-11eb-a6c2-d33e5e14f112","first_name":"Bhargavi"},{"orcid":"0000-0001-9843-3522","id":"4E01D6B4-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Hauschild","full_name":"Hauschild, Robert"},{"last_name":"Freunberger","first_name":"Stefan Alexander","orcid":"0000-0003-2902-5319","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","full_name":"Freunberger, Stefan Alexander"}],"intvolume":" 248","_id":"13044","page":"175-189","article_processing_charge":"Yes (via OA deal)","corr_author":"1","date_created":"2023-05-22T06:53:34Z","keyword":["Physical and Theoretical Chemistry"],"related_material":{"record":[{"id":"20607","status":"public","relation":"dissertation_contains"}]},"scopus_import":"1","publication_identifier":{"eissn":["1364-5498"],"issn":["1359-6640"]},"status":"public","has_accepted_license":"1","oa_version":"Published Version","oa":1,"citation":{"ista":"Mondal S, Jethwa RB, Pant B, Hauschild R, Freunberger SA. 2024. Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. Faraday Discussions. 248, 175–189.","apa":"Mondal, S., Jethwa, R. B., Pant, B., Hauschild, R., & Freunberger, S. A. (2024). Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. Faraday Discussions. Royal Society of Chemistry. https://doi.org/10.1039/d3fd00088e","ieee":"S. Mondal, R. B. Jethwa, B. Pant, R. Hauschild, and S. A. Freunberger, “Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes,” Faraday Discussions, vol. 248. Royal Society of Chemistry, pp. 175–189, 2024.","short":"S. Mondal, R.B. Jethwa, B. Pant, R. Hauschild, S.A. Freunberger, Faraday Discussions 248 (2024) 175–189.","ama":"Mondal S, Jethwa RB, Pant B, Hauschild R, Freunberger SA. Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes. Faraday Discussions. 2024;248:175-189. doi:10.1039/d3fd00088e","mla":"Mondal, Soumyadip, et al. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.” Faraday Discussions, vol. 248, Royal Society of Chemistry, 2024, pp. 175–89, doi:10.1039/d3fd00088e.","chicago":"Mondal, Soumyadip, Rajesh B Jethwa, Bhargavi Pant, Robert Hauschild, and Stefan Alexander Freunberger. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.” Faraday Discussions. Royal Society of Chemistry, 2024. https://doi.org/10.1039/d3fd00088e."},"volume":248,"ddc":["540"],"pmid":1,"publication":"Faraday Discussions","date_updated":"2026-07-29T12:57:14Z","isi":1,"year":"2024","abstract":[{"lang":"eng","text":"Singlet oxygen (1O2) formation is now recognised as a key aspect of non-aqueous oxygen redox chemistry. For identifying 1O2, chemical trapping via 9,10-dimethylanthracene (DMA) to form the endoperoxide (DMA-O2) has become the mainstay method due to its sensitivity, selectivity, and ease of use. While DMA has been shown to be selective for 1O2, rather than forming DMA-O2 with a wide variety of potentially reactive O-containing species, false positives might hypothetically be obtained in the presence of previously overlooked species. Here, we first give unequivocal direct spectroscopic proof by the 1O2-specific near infrared (NIR) emission at 1270 nm for the previously proposed 1O2 formation pathways, which centre around superoxide disproportionation. We then show that peroxocarbonates, common intermediates in metal-O2 and metal carbonate electrochemistry, do not produce false-positive DMA-O2. Moreover, we identify a previously unreported 1O2-forming pathway through the reaction of CO2 with superoxide. Overall, we give unequivocal proof for 1O2 formation in non-aqueous oxygen redox and show that chemical trapping with DMA is a reliable method to assess 1O2 formation."}],"month":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file_date_updated":"2024-07-16T07:46:39Z","day":"01","language":[{"iso":"eng"}],"article_type":"original"},{"title":"Duality theory in linear optimization and its extensions -- formally verified","publication_status":"draft","department":[{"_id":"GradSch"},{"_id":"VlKo"}],"type":"preprint","doi":"10.48550/arXiv.2409.08119","acknowledgement":"We would like to thank David Bartl and Jasmin Blanchette for frequent consultations. We would also like to express gratitude to Andrew Yang for the proof of Finset.univ sum of zero when not and to Henrik B¨oving for a help with generalization from extended rationals to extended linearly ordered fields. We would also like to acknowledge Antoine Chambert-Loir, Apurva Nakade, Ya¨el Dillies, Richard Copley, Edward van de Meent, Markus Himmel, Mario Carneiro, and Kevin Buzzard.","_id":"20071","related_material":{"link":[{"description":"full version of all definitions, statement, and proofs","relation":"software","url":"https://github.com/madvorak/duality/tree/v3.2"}],"record":[{"id":"22607","relation":"later_version","status":"public"},{"id":"21393","relation":"dissertation_contains","status":"public"}]},"keyword":["Farkas lemma","linear programming","extended reals","calculus of inductive constructions"],"date_created":"2025-07-23T11:21:52Z","corr_author":"1","article_processing_charge":"No","OA_type":"green","date_published":"2024-09-12T00:00:00Z","external_id":{"arxiv":["2409.08119"]},"author":[{"last_name":"Dvorak","first_name":"Martin","id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425","orcid":"0000-0001-5293-214X","full_name":"Dvorak, Martin"},{"last_name":"Kolmogorov","first_name":"Vladimir","id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","full_name":"Kolmogorov, Vladimir"}],"citation":{"ista":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally verified. arXiv, 2409.08119.","ieee":"M. Dvorak and V. Kolmogorov, “Duality theory in linear optimization and its extensions -- formally verified,” arXiv. .","apa":"Dvorak, M., & Kolmogorov, V. (n.d.). Duality theory in linear optimization and its extensions -- formally verified. arXiv. https://doi.org/10.48550/arXiv.2409.08119","short":"M. Dvorak, V. Kolmogorov, ArXiv (n.d.).","mla":"Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally Verified.” ArXiv, 2409.08119, doi:10.48550/arXiv.2409.08119.","ama":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally verified. arXiv. doi:10.48550/arXiv.2409.08119","chicago":"Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally Verified.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.08119."},"status":"public","article_number":"2409.08119","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2409.08119"}],"OA_place":"repository","arxiv":1,"oa":1,"oa_version":"Preprint","month":"09","language":[{"iso":"eng"}],"day":"12","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","date_updated":"2026-07-29T12:56:51Z","publication":"arXiv","abstract":[{"lang":"eng","text":"Farkas established that a system of linear inequalities has a solution if and only if we cannot obtain a contradiction by taking a linear combination of the inequalities. We state and formally prove several Farkas-like theorems over linearly ordered fields in Lean 4. Furthermore, we extend duality theory to the case when some coefficients are allowed to take \"infinite values\"."}],"year":"2024"},{"date_updated":"2026-07-29T12:57:48Z","publication":"Evolution: International journal of organic evolution","abstract":[{"text":"Vaccination is the most effective tool to control infectious diseases. However, the evolution of vaccine resistance, exemplified by vaccine resistance in SARS-CoV-2, remains a concern. Here, we model complex vaccination strategies against a pathogen with multiple epitopes—molecules targeted by the vaccine. We found that a vaccine targeting one epitope was ineffective in preventing vaccine escape. Vaccine resistance in highly infectious pathogens was prevented by the full-epitope vaccine, that is, one targeting all available epitopes, but only when the rate of pathogen evolution was low. Strikingly, a bet-hedging strategy of random administration of vaccines targeting different epitopes was the most effective in preventing vaccine resistance in pathogens with the low rate of infection and high rate of evolution. Thus, complex vaccination strategies, when biologically feasible, may be preferable to the currently used single-vaccine approaches for long-term control of disease outbreaks, especially when applied to livestock with near 100% vaccination rates.","lang":"eng"}],"year":"2024","isi":1,"month":"10","article_type":"original","language":[{"iso":"eng"}],"file_date_updated":"2024-10-21T09:34:50Z","day":"01","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","publication_identifier":{"eissn":["1558-5646"]},"scopus_import":"1","OA_place":"publisher","has_accepted_license":"1","oa_version":"Published Version","oa":1,"volume":78,"citation":{"ieee":"S. Rella, Y. A. Kulikova, A. Minnegalieva, and F. Kondrashov, “Complex vaccination strategies prevent the emergence of vaccine resistance,” Evolution: International journal of organic evolution, vol. 78, no. 10. Oxford University Press, pp. 1722–1738, 2024.","apa":"Rella, S., Kulikova, Y. A., Minnegalieva, A., & Kondrashov, F. (2024). Complex vaccination strategies prevent the emergence of vaccine resistance. Evolution: International Journal of Organic Evolution. Oxford University Press. https://doi.org/10.1093/evolut/qpae106","short":"S. Rella, Y.A. Kulikova, A. Minnegalieva, F. Kondrashov, Evolution: International Journal of Organic Evolution 78 (2024) 1722–1738.","ista":"Rella S, Kulikova YA, Minnegalieva A, Kondrashov F. 2024. Complex vaccination strategies prevent the emergence of vaccine resistance. Evolution: International journal of organic evolution. 78(10), 1722–1738.","chicago":"Rella, Simon, Yuliya A. Kulikova, Aygul Minnegalieva, and Fyodor Kondrashov. “Complex Vaccination Strategies Prevent the Emergence of Vaccine Resistance.” Evolution: International Journal of Organic Evolution. Oxford University Press, 2024. https://doi.org/10.1093/evolut/qpae106.","ama":"Rella S, Kulikova YA, Minnegalieva A, Kondrashov F. Complex vaccination strategies prevent the emergence of vaccine resistance. Evolution: International journal of organic evolution. 2024;78(10):1722-1738. doi:10.1093/evolut/qpae106","mla":"Rella, Simon, et al. “Complex Vaccination Strategies Prevent the Emergence of Vaccine Resistance.” Evolution: International Journal of Organic Evolution, vol. 78, no. 10, Oxford University Press, 2024, pp. 1722–38, doi:10.1093/evolut/qpae106."},"pmid":1,"ddc":["570"],"OA_type":"hybrid","quality_controlled":"1","date_published":"2024-10-01T00:00:00Z","tmp":{"image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","short":"CC BY-NC-ND (4.0)"},"external_id":{"isi":["001286581900001"],"pmid":["38990788"]},"intvolume":" 78","author":[{"last_name":"Rella","first_name":"Simon","id":"B4765ACA-AA38-11E9-AC9A-0930E6697425","full_name":"Rella, Simon"},{"full_name":"Kulikova, Yuliya A.","last_name":"Kulikova","first_name":"Yuliya A."},{"id":"87DF77F0-1D9A-11EA-B6AE-CE443DDC885E","first_name":"Aygul","last_name":"Minnegalieva","full_name":"Minnegalieva, Aygul"},{"id":"44FDEF62-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8243-4694","first_name":"Fyodor","last_name":"Kondrashov","full_name":"Kondrashov, Fyodor"}],"acknowledgement":"We thank Raimundo Julian Saona Urmeneta, Maike Morrison, Sergey Kryazhimskiy, Hiroki Ishikawa, Simone Pigolotti, and Shingo Miyauchi for fruitful discussions. We also thank the participants of the FRISBI seminar at ISTA for useful comments.","_id":"18307","related_material":{"record":[{"id":"14862","status":"public","relation":"research_data"},{"id":"20811","relation":"dissertation_contains","status":"public"}],"link":[{"url":"https://github.com/Simon-Re/complex-vaccination","relation":"software"}]},"date_created":"2024-10-13T22:01:50Z","article_processing_charge":"Yes (via OA deal)","corr_author":"1","page":"1722-1738","publication_status":"published","department":[{"_id":"GaTk"}],"doi":"10.1093/evolut/qpae106","type":"journal_article","publisher":"Oxford University Press","title":"Complex vaccination strategies prevent the emergence of vaccine resistance","issue":"10","file":[{"file_id":"18453","creator":"dernst","file_size":29360811,"access_level":"open_access","date_created":"2024-10-21T09:34:50Z","file_name":"2024_Evolution_Rella.pdf","content_type":"application/pdf","date_updated":"2024-10-21T09:34:50Z","relation":"main_file","checksum":"5c6e8475bb88b07d424a5130d5e91e74","success":1}]},{"article_type":"letter_note","language":[{"iso":"eng"}],"day":"29","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"03","abstract":[{"lang":"eng","text":"The tendency of materials to order in triboelectric series has prompted suggestions that contact electrification might have a single, unified underlying description. However, the possibility of “triboelectric cycles,” i.e., series that loop back onto themselves, is seemingly at odds with such a coherent description. In this work, we propose that if multiple charge carrying species are at play, both triboelectric series and cycles are possible. We show how series arise naturally if only a single charge carrier species is involved and if the driving mechanism is approach toward thermodynamic equilibrium, and simultaneously, that cycles are forbidden under such conditions. Suspecting multiple carriers might relax the situation, we affirm this is the case by explicit construction of a cycle involving two carriers, and then extend this to show how more complex cycles emerge. Our work highlights the importance of series and cycles towards determining the underlying mechanism(s) and carrier(s) in contact electrification."}],"year":"2024","isi":1,"date_updated":"2026-07-29T13:11:24Z","publication":"Physical Review E","pmid":1,"volume":109,"citation":{"ista":"Sobarzo Ponce JCA, Waitukaitis SR. 2024. Multiple charge carrier species as a possible cause for triboelectric cycles. Physical Review E. 109(3), L032108.","short":"J.C.A. Sobarzo Ponce, S.R. Waitukaitis, Physical Review E 109 (2024).","apa":"Sobarzo Ponce, J. C. A., & Waitukaitis, S. R. (2024). Multiple charge carrier species as a possible cause for triboelectric cycles. Physical Review E. American Physical Society. https://doi.org/10.1103/PhysRevE.109.L032108","ieee":"J. C. A. Sobarzo Ponce and S. R. Waitukaitis, “Multiple charge carrier species as a possible cause for triboelectric cycles,” Physical Review E, vol. 109, no. 3. American Physical Society, 2024.","mla":"Sobarzo Ponce, Juan Carlos A., and Scott R. Waitukaitis. “Multiple Charge Carrier Species as a Possible Cause for Triboelectric Cycles.” Physical Review E, vol. 109, no. 3, L032108, American Physical Society, 2024, doi:10.1103/PhysRevE.109.L032108.","ama":"Sobarzo Ponce JCA, Waitukaitis SR. Multiple charge carrier species as a possible cause for triboelectric cycles. Physical Review E. 2024;109(3). doi:10.1103/PhysRevE.109.L032108","chicago":"Sobarzo Ponce, Juan Carlos A, and Scott R Waitukaitis. “Multiple Charge Carrier Species as a Possible Cause for Triboelectric Cycles.” Physical Review E. American Physical Society, 2024. https://doi.org/10.1103/PhysRevE.109.L032108."},"oa_version":"None","status":"public","article_number":"L032108","publication_identifier":{"issn":["2470-0045"],"eissn":["2470-0053"]},"scopus_import":"1","related_material":{"record":[{"id":"20203","relation":"dissertation_contains","status":"public"}]},"date_created":"2024-04-14T22:01:03Z","corr_author":"1","article_processing_charge":"No","_id":"15322","intvolume":" 109","author":[{"first_name":"Juan Carlos A","id":"4B807D68-AE37-11E9-AC72-31CAE5697425","last_name":"Sobarzo Ponce","full_name":"Sobarzo Ponce, Juan Carlos A"},{"id":"3A1FFC16-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2299-3176","first_name":"Scott R","last_name":"Waitukaitis","full_name":"Waitukaitis, Scott R"}],"quality_controlled":"1","date_published":"2024-03-29T00:00:00Z","external_id":{"pmid":["38632754"],"isi":["001199745200004"]},"issue":"3","title":"Multiple charge carrier species as a possible cause for triboelectric cycles","type":"journal_article","doi":"10.1103/PhysRevE.109.L032108","publisher":"American Physical Society","publication_status":"published","department":[{"_id":"ScWa"}]},{"abstract":[{"text":"A linearly ordered (LO) k-colouring of a hypergraph is a colouring of its vertices with colours 1, … , k such that each edge contains a unique maximal colour. Deciding whether an input hypergraph admits LO k-colouring with a fixed number of colours is NP-complete (and in the special case of graphs, LO colouring coincides with the usual graph colouring). Here, we investigate the complexity of approximating the \"linearly ordered chromatic number\" of a hypergraph. We prove that the following promise problem is NP-complete: Given a 3-uniform hypergraph, distinguish between the case that it is LO 3-colourable, and the case that it is not even LO 4-colourable. We prove this result by a combination of algebraic, topological, and combinatorial methods, building on and extending a topological approach for studying approximate graph colouring introduced by Krokhin, Opršal, Wrochna, and Živný (2023).","lang":"eng"}],"year":"2024","isi":1,"date_updated":"2026-07-29T13:13:17Z","publication":"41st International Symposium on Theoretical Aspects of Computer Science","language":[{"iso":"eng"}],"file_date_updated":"2024-03-25T07:44:30Z","day":"01","alternative_title":["LIPIcs"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"03","arxiv":1,"oa_version":"Published Version","oa":1,"has_accepted_license":"1","status":"public","article_number":"34","publication_identifier":{"isbn":["9783959773119"],"eissn":["1868-8969"]},"scopus_import":"1","ddc":["510"],"ec_funded":1,"volume":289,"citation":{"chicago":"Filakovský, Marek, Tamio Vesa Nakajima, Jakub Opršal, Gianluca Tasinato, and Uli Wagner. “Hardness of Linearly Ordered 4-Colouring of 3-Colourable 3-Uniform Hypergraphs.” In 41st International Symposium on Theoretical Aspects of Computer Science, Vol. 289. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. https://doi.org/10.4230/LIPIcs.STACS.2024.34.","mla":"Filakovský, Marek, et al. “Hardness of Linearly Ordered 4-Colouring of 3-Colourable 3-Uniform Hypergraphs.” 41st International Symposium on Theoretical Aspects of Computer Science, vol. 289, 34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.STACS.2024.34.","ama":"Filakovský M, Nakajima TV, Opršal J, Tasinato G, Wagner U. Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. In: 41st International Symposium on Theoretical Aspects of Computer Science. Vol 289. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.STACS.2024.34","ieee":"M. Filakovský, T. V. Nakajima, J. Opršal, G. Tasinato, and U. Wagner, “Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs,” in 41st International Symposium on Theoretical Aspects of Computer Science, Clermont-Ferrand, France, 2024, vol. 289.","apa":"Filakovský, M., Nakajima, T. V., Opršal, J., Tasinato, G., & Wagner, U. (2024). Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. In 41st International Symposium on Theoretical Aspects of Computer Science (Vol. 289). Clermont-Ferrand, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.STACS.2024.34","short":"M. Filakovský, T.V. Nakajima, J. Opršal, G. Tasinato, U. Wagner, in:, 41st International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.","ista":"Filakovský M, Nakajima TV, Opršal J, Tasinato G, Wagner U. 2024. Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. 41st International Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical Aspects of Computer Science, LIPIcs, vol. 289, 34."},"intvolume":" 289","author":[{"full_name":"Filakovský, Marek","last_name":"Filakovský","id":"3E8AF77E-F248-11E8-B48F-1D18A9856A87","first_name":"Marek"},{"last_name":"Nakajima","first_name":"Tamio Vesa","full_name":"Nakajima, Tamio Vesa"},{"full_name":"Opršal, Jakub","last_name":"Opršal","first_name":"Jakub","orcid":"0000-0003-1245-3456","id":"ec596741-c539-11ec-b829-c79322a91242"},{"id":"0433290C-AF8F-11E9-A4C7-F729E6697425","first_name":"Gianluca","last_name":"Tasinato","full_name":"Tasinato, Gianluca"},{"last_name":"Wagner","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","full_name":"Wagner, Uli"}],"quality_controlled":"1","date_published":"2024-03-01T00:00:00Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"conference":{"end_date":"2024-03-14","start_date":"2024-03-12","location":"Clermont-Ferrand, France","name":"STACS: Symposium on Theoretical Aspects of Computer Science"},"external_id":{"isi":["001300393400034"],"arxiv":["2312.12981"]},"related_material":{"record":[{"id":"22247","relation":"later_version","status":"public"},{"relation":"dissertation_contains","status":"public","id":"20339"}]},"date_created":"2024-03-24T23:00:59Z","corr_author":"1","article_processing_charge":"No","acknowledgement":"Marek Filakovský: This research was supported by Charles University (project PRIMUS/\r\n21/SCI/014), the Austrian Science Fund (FWF project P31312-N35), and MSCAfellow5_MUNI\r\n(CZ.02.01.01/00/22_010/0003229). Tamio-Vesa Nakajima: This research was funded by UKRI EP/X024431/1 and by a Clarendon Fund Scholarship. All data is provided in full in the results section of this paper. Jakub Opršal: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No 101034413. Uli Wagner: This research was supported by the Austrian Science Fund (FWF project P31312-N35).","_id":"15168","doi":"10.4230/LIPIcs.STACS.2024.34","type":"conference","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","publication_status":"published","department":[{"_id":"UlWa"}],"file":[{"date_created":"2024-03-25T07:44:30Z","content_type":"application/pdf","file_name":"2024_LIPICs_Filakovsky.pdf","file_id":"15175","access_level":"open_access","creator":"dernst","file_size":927290,"success":1,"date_updated":"2024-03-25T07:44:30Z","checksum":"0524d4189fd1ed08989546511343edf3","relation":"main_file"}],"title":"Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs","project":[{"_id":"26611F5C-B435-11E9-9278-68D0E5697425","grant_number":"P31312","call_identifier":"FWF","name":"Algorithms for Embeddings and Homotopy Theory"},{"call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program"}]}]