[{"article_type":"original","intvolume":" 75","oa_version":"Published Version","type":"journal_article","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.","_id":"18930","scopus_import":"1","isi":1,"oa":1,"file_date_updated":"2025-01-28T07:03:51Z","language":[{"iso":"eng"}],"month":"12","date_published":"2024-12-01T00:00:00Z","department":[{"_id":"TiBr"}],"publisher":"Oxford University Press","date_updated":"2026-07-29T09:58:28Z","OA_type":"hybrid","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","day":"01","PlanS_conform":"1","citation":{"ista":"Elsholtz C, Wurzinger L. 2024. Sumsets in the set of squares. The Quarterly Journal of Mathematics. 75(4), 1243–1254.","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","short":"C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024) 1243–1254.","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.","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.","apa":"Elsholtz, C., & Wurzinger, L. (2024). Sumsets in the set of squares. The Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qmath/haae044","chicago":"Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.” The Quarterly Journal of Mathematics. Oxford University Press, 2024. https://doi.org/10.1093/qmath/haae044."},"author":[{"full_name":"Elsholtz, Christian","last_name":"Elsholtz","first_name":"Christian"},{"first_name":"Lena","last_name":"Wurzinger","full_name":"Wurzinger, Lena","id":"50c57d72-32a8-11ee-aeea-d652094d2ccd","orcid":"0009-0004-5360-0074"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher","volume":75,"page":"1243-1254","article_processing_charge":"Yes (via OA deal)","abstract":[{"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).","lang":"eng"}],"publication_status":"published","external_id":{"isi":["001304396600001"]},"title":"Sumsets in the set of squares","year":"2024","date_created":"2025-01-28T06:55:31Z","researchdata_availability":"no","issue":"4","doi":"10.1093/qmath/haae044","publication_identifier":{"eissn":["1464-3847"],"issn":["0033-5606"]},"publication":"The Quarterly Journal of Mathematics","das_tickbox":"0","corr_author":"1","supplementarymaterial":"no","quality_controlled":"1","file":[{"file_id":"18931","relation":"main_file","checksum":"1a06e052761d3f1e873463d6f529dd82","access_level":"open_access","file_size":424645,"date_updated":"2025-01-28T07:03:51Z","date_created":"2025-01-28T07:03:51Z","content_type":"application/pdf","file_name":"2024_QuarterlyJourMath_Elsholtz.pdf","creator":"dernst","success":1}],"has_accepted_license":"1","ddc":["510"]},{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"OA_type":"hybrid","status":"public","day":"01","citation":{"short":"T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 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.","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","ista":"Browning TD, Shparlinski IE. 2024. Square-free values of random polynomials. Journal of Number Theory. 261, 220–240.","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.","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","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."},"oa_version":"Published Version","intvolume":" 261","article_type":"original","type":"journal_article","scopus_import":"1","_id":"15312","isi":1,"file_date_updated":"2025-01-09T09:00:02Z","oa":1,"date_published":"2024-08-01T00:00:00Z","language":[{"iso":"eng"}],"month":"08","date_updated":"2026-07-29T09:55:38Z","department":[{"_id":"TiBr"}],"publisher":"Elsevier","arxiv":1,"date_created":"2024-04-14T22:01:00Z","year":"2024","researchdata_availability":"no","doi":"10.1016/j.jnt.2024.02.013","publication_identifier":{"issn":["0022-314X"]},"das_tickbox":"0","publication":"Journal of Number Theory","supplementarymaterial":"no","corr_author":"1","file":[{"checksum":"614032802febde0aa8e904e9a8ef99ab","relation":"main_file","access_level":"open_access","file_size":394850,"date_updated":"2025-01-09T09:00:02Z","file_id":"18794","creator":"dernst","success":1,"date_created":"2025-01-09T09:00:02Z","content_type":"application/pdf","file_name":"2024_JourNumberTheory_Browning.pdf"}],"quality_controlled":"1","has_accepted_license":"1","ddc":["510"],"author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D","last_name":"Browning","first_name":"Timothy D"},{"last_name":"Shparlinski","first_name":"Igor E.","full_name":"Shparlinski, Igor E."}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":261,"OA_place":"publisher","article_processing_charge":"No","page":"220-240","publication_status":"published","external_id":{"arxiv":["2305.15493"],"isi":["001220725000001"]},"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."}],"title":"Square-free values of random polynomials"},{"article_type":"original","oa_version":"Published Version","intvolume":" 2024","type":"journal_article","_id":"19051","scopus_import":"1","isi":1,"oa":1,"file_date_updated":"2025-02-18T07:56:36Z","language":[{"iso":"eng"}],"month":"07","date_published":"2024-07-01T00:00:00Z","department":[{"_id":"TiBr"}],"publisher":"Oxford University Press","date_updated":"2026-07-29T09:59:57Z","OA_type":"hybrid","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","day":"01","citation":{"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.","short":"T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.","ista":"Browning TD. 2024. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2024(13), 10165–10168.","ama":"Browning TD. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2024;2024(13):10165-10168. doi:10.1093/imrn/rnae066","apa":"Browning, T. D. (2024). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnae066","chicago":"Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae066.","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."},"author":[{"last_name":"Browning","first_name":"Timothy D","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":2024,"OA_place":"publisher","related_material":{"record":[{"id":"254","relation":"earlier_version","status":"public"}]},"page":"10165-10168","article_processing_charge":"Yes (via OA deal)","abstract":[{"text":"This paper corrects an error in an earlier work of the author.","lang":"eng"}],"external_id":{"isi":["001196957300001"]},"publication_status":"published","title":"The polynomial sieve and equal sums of like polynomials","year":"2024","date_created":"2025-02-18T07:15:50Z","researchdata_availability":"no","issue":"13","publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"doi":"10.1093/imrn/rnae066","publication":"International Mathematics Research Notices","das_tickbox":"0","corr_author":"1","supplementarymaterial":"no","file":[{"date_created":"2025-02-18T07:56:36Z","content_type":"application/pdf","file_name":"2024_IMRN_Browning.pdf","creator":"dernst","success":1,"file_id":"19052","checksum":"b625b8adf018d2a97591813c1fc17b96","relation":"main_file","access_level":"open_access","file_size":205750,"date_updated":"2025-02-18T07:56:36Z"}],"quality_controlled":"1","has_accepted_license":"1","ddc":["510"]},{"das_tickbox":"0","publication":"Journal of the Institute of Mathematics of Jussieu","publication_identifier":{"eissn":["1475-3030 "],"issn":["1474-7480"]},"doi":"10.1017/S1474748022000482","issue":"3","researchdata_availability":"no","date_created":"2021-09-15T10:06:48Z","year":"2024","ddc":["510"],"has_accepted_license":"1","quality_controlled":"1","file":[{"content_type":"application/pdf","file_name":"2024_JourMathJussieu_Derenthal.pdf","date_created":"2024-06-03T08:33:29Z","creator":"dernst","success":1,"file_id":"17102","file_size":592305,"date_updated":"2024-06-03T08:33:29Z","checksum":"c4698ea12cfe10ef2c6c79880290c7ac","relation":"main_file","access_level":"open_access"}],"supplementarymaterial":"no","corr_author":"1","volume":23,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"full_name":"Derenthal, Ulrich","last_name":"Derenthal","first_name":"Ulrich"},{"full_name":"Wilsch, Florian Alexander","orcid":"0000-0001-7302-8256","id":"560601DA-8D36-11E9-A136-7AC1E5697425","first_name":"Florian Alexander","last_name":"Wilsch"}],"keyword":["Integral points","del Pezzo surface","universal torsor","Manin’s conjecture"],"title":"Integral points on singular del Pezzo surfaces","external_id":{"arxiv":["2109.06778"],"isi":["000881319200001"]},"publication_status":"published","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"}],"article_processing_charge":"Yes (via OA deal)","page":"1259-1294","status":"public","day":"10","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"project":[{"grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","name":"New frontiers of the Manin conjecture","call_identifier":"FWF"}],"citation":{"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.","short":"U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294.","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.","ama":"Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 2024;23(3):1259-1294. doi:10.1017/S1474748022000482","apa":"Derenthal, U., & Wilsch, F. A. (2024). Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748022000482","chicago":"Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2024. https://doi.org/10.1017/S1474748022000482.","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."},"scopus_import":"1","_id":"10018","type":"journal_article","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.","intvolume":" 23","oa_version":"Published Version","article_type":"original","date_updated":"2026-07-29T10:00:51Z","department":[{"_id":"TiBr"}],"arxiv":1,"publisher":"Cambridge University Press","date_published":"2024-05-10T00:00:00Z","month":"05","language":[{"iso":"eng"}],"file_date_updated":"2024-06-03T08:33:29Z","oa":1,"isi":1},{"file_date_updated":"2024-08-21T06:36:40Z","oa":1,"isi":1,"date_updated":"2026-07-29T10:02:22Z","arxiv":1,"department":[{"_id":"TiBr"}],"publisher":"Wiley","date_published":"2024-08-14T00:00:00Z","language":[{"iso":"eng"}],"month":"08","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.","type":"journal_article","intvolume":" 110","oa_version":"Published Version","article_type":"original","scopus_import":"1","_id":"17447","project":[{"call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413"}],"citation":{"short":"V. Wang, Journal of the London Mathematical Society 110 (2024).","ieee":"V. Wang, “Special cubic zeros and the dual variety,” Journal of the London Mathematical Society, vol. 110, no. 3. Wiley, 2024.","ista":"Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 110(3), e12975.","ama":"Wang V. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 2024;110(3). doi:10.1112/jlms.12975","apa":"Wang, V. (2024). Special cubic zeros and the dual variety. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.12975","chicago":"Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society. Wiley, 2024. https://doi.org/10.1112/jlms.12975.","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."},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ec_funded":1,"status":"public","day":"14","publication_status":"published","external_id":{"isi":["001310529600001"],"arxiv":["2108.03396"]},"abstract":[{"lang":"eng","text":"Let F be a diagonal cubic form over Z in six variables. From the dual variety in the delta method of Duke–Friedlander–Iwaniec and Heath‐Brown, we unconditionally extract a weighted count of certain special integral zeros of F in regions of diameter X - 8 . Heath‐Brown did the same in four variables, but our analysis differs and captures some novel features. We also put forth an axiomatic framework for more general F."}],"article_processing_charge":"Yes (via OA deal)","title":"Special cubic zeros and the dual variety","volume":110,"author":[{"last_name":"Wang","first_name":"Victor","full_name":"Wang, Victor","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","orcid":"0000-0002-0704-7026"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","quality_controlled":"1","file":[{"date_created":"2024-08-21T06:36:40Z","content_type":"application/pdf","file_name":"2024_JourLondonMathSoc_Wang.pdf","creator":"dernst","success":1,"file_id":"17454","checksum":"90437e19f57520b4d66ca62408f6c81e","relation":"main_file","access_level":"open_access","file_size":438751,"date_updated":"2024-08-21T06:36:40Z"}],"supplementarymaterial":"no","corr_author":"1","ddc":["512"],"has_accepted_license":"1","article_number":"e12975","researchdata_availability":"no","date_created":"2024-08-20T08:41:40Z","year":"2024","das_tickbox":"0","publication":"Journal of the London Mathematical Society","doi":"10.1112/jlms.12975","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"issue":"3"},{"project":[{"name":"Rational curves via function field analytic number theory","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","grant_number":"P36278"},{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program"}],"citation":{"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.","apa":"Browning, T. D., & Verzobio, M. (2024). Strong divisibility sequences and sieve methods. Mathematika. London Mathematical Society. https://doi.org/10.1112/mtk.12269","chicago":"Browning, Timothy D, and Matteo Verzobio. “Strong Divisibility Sequences and Sieve Methods.” Mathematika. London Mathematical Society, 2024. https://doi.org/10.1112/mtk.12269.","ama":"Browning TD, Verzobio M. Strong divisibility sequences and sieve methods. Mathematika. 2024;70(4). doi:10.1112/mtk.12269","ista":"Browning TD, Verzobio M. 2024. Strong divisibility sequences and sieve methods. Mathematika. 70(4), e12269.","short":"T.D. Browning, M. Verzobio, Mathematika 70 (2024).","ieee":"T. D. Browning and M. Verzobio, “Strong divisibility sequences and sieve methods,” Mathematika, vol. 70, no. 4. London Mathematical Society, 2024."},"ec_funded":1,"OA_type":"hybrid","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"01","status":"public","oa":1,"file_date_updated":"2025-01-13T11:06:25Z","isi":1,"publisher":"London Mathematical Society","department":[{"_id":"TiBr"}],"date_updated":"2026-07-29T10:01:24Z","language":[{"iso":"eng"}],"month":"10","date_published":"2024-10-01T00:00:00Z","type":"journal_article","acknowledgement":"The authors are very grateful to Andrew Granville, Dimitris Koukoulopoulos, Davide Lombardo,Florian Luca, Igor Shparlinski and Joni Teräväinen for useful comments. While working on thispaper, the first author was supported by a FWF Grant (DOI 10.55776/P36278) and the secondauthor was supported by the European Union’s Horizon 2020 research and innovation programunder the Marie Skłodowska-Curie Grant Agreement Number 101034413.","article_type":"original","intvolume":" 70","oa_version":"Published Version","_id":"17323","scopus_import":"1","quality_controlled":"1","file":[{"file_id":"18842","file_size":273006,"date_updated":"2025-01-13T11:06:25Z","checksum":"0b1518bdc1a901413005c19202cfa497","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2024_Mathematika_Browning.pdf","date_created":"2025-01-13T11:06:25Z","creator":"dernst","success":1}],"corr_author":"1","supplementarymaterial":"no","ddc":["510"],"has_accepted_license":"1","researchdata_availability":"no","article_number":"e12269","year":"2024","date_created":"2024-07-28T22:01:08Z","publication":"Mathematika","das_tickbox":"0","issue":"4","publication_identifier":{"issn":["0025-5793"],"eissn":["2041-7942"]},"doi":"10.1112/mtk.12269","abstract":[{"lang":"eng","text":"We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence that only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods. At the end of the paper, there is an appendix by Sandro Bettin on divisor closed sets that we use to study the density of prime terms that appear in strong divisibility sequences."}],"publication_status":"published","external_id":{"isi":["001273912800001"]},"article_processing_charge":"Yes (via OA deal)","title":"Strong divisibility sequences and sieve methods","volume":70,"OA_place":"publisher","author":[{"full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D"},{"last_name":"Verzobio","first_name":"Matteo","orcid":"0000-0002-0854-0306","id":"7aa8f170-131e-11ed-88e1-a9efd01027cb","full_name":"Verzobio, Matteo"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"file_date_updated":"2025-01-13T08:54:09Z","oa":1,"date_published":"2024-11-01T00:00:00Z","month":"11","language":[{"iso":"eng"}],"date_updated":"2026-07-29T10:03:09Z","publisher":"Elsevier","department":[{"_id":"TiBr"}],"arxiv":1,"intvolume":" 457","oa_version":"Published Version","article_type":"original","type":"journal_article","scopus_import":"1","_id":"18064","citation":{"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.","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","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.","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","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."},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"OA_type":"hybrid","status":"public","day":"01","article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2112.01615"]},"publication_status":"published","abstract":[{"lang":"eng","text":" We show that the total number of non-torsion integral points on the elliptic curves ED : y\r\n2 = x3 − D2x, where D ranges over positive squarefree integers less than N, is O(N(log N)\r\n−1/4+ǫ). The proof involves a discriminant-lowering procedure on integral binary quartic forms and an application of Heath-Brown’s method on estimating the average size of the 2-Selmer group of the curves in this family."}],"title":"The average number of integral points on the congruent number curves","author":[{"full_name":"Chan, Yik Tung","id":"c4c0afc8-9262-11ed-9231-d8b0bc743af1","orcid":"0000-0001-8467-4106","last_name":"Chan","first_name":"Yik Tung"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":457,"OA_place":"publisher","supplementarymaterial":"no","corr_author":"1","file":[{"creator":"dernst","success":1,"content_type":"application/pdf","file_name":"2024_AdvancesMath_Chan.pdf","date_created":"2025-01-13T08:54:09Z","file_size":564386,"date_updated":"2025-01-13T08:54:09Z","checksum":"f555742540ad91a3040aeafd68b1fcde","relation":"main_file","access_level":"open_access","file_id":"18829"}],"quality_controlled":"1","has_accepted_license":"1","ddc":["510"],"date_created":"2024-09-15T22:01:39Z","year":"2024","article_number":"109946","researchdata_availability":"no","doi":"10.1016/j.aim.2024.109946","publication_identifier":{"eissn":["1090-2082"],"issn":["0001-8708"]},"issue":"11","das_tickbox":"0","publication":"Advances in Mathematics"},{"oa":1,"file_date_updated":"2024-10-07T08:51:01Z","department":[{"_id":"TiBr"}],"arxiv":1,"publisher":"London Mathematical Society","date_updated":"2026-07-29T10:04:55Z","month":"10","language":[{"iso":"eng"}],"date_published":"2024-10-01T00:00:00Z","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).","type":"journal_article","article_type":"original","intvolume":" 110","oa_version":"Published Version","_id":"18173","scopus_import":"1","project":[{"_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","grant_number":"P36278","name":"Rational curves via function field analytic number theory"}],"citation":{"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.","short":"J. Glas, Journal of the London Mathematical Society 110 (2024).","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","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.","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.","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","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."},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","day":"01","abstract":[{"lang":"eng","text":"Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least 23 over Fq(t), provided char (Fq)>3. Under the same hypotheses, we also verify weak approximation."}],"external_id":{"arxiv":["2306.02718"]},"publication_status":"published","article_processing_charge":"Yes (via OA deal)","title":"Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t)","volume":110,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"full_name":"Glas, Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","last_name":"Glas","first_name":"Jakob"}],"related_material":{"record":[{"status":"public","id":"18132","relation":"dissertation_contains"}]},"file":[{"file_size":579601,"date_updated":"2024-10-07T08:51:01Z","access_level":"open_access","checksum":"11ebf690363151026ce81f91f2220855","relation":"main_file","file_id":"18181","success":1,"creator":"dernst","content_type":"application/pdf","file_name":"2024_JLondonMathSoc_Glas.pdf","date_created":"2024-10-07T08:51:01Z"}],"quality_controlled":"1","corr_author":"1","supplementarymaterial":"no","ddc":["510"],"has_accepted_license":"1","researchdata_availability":"no","article_number":"e12991","year":"2024","date_created":"2024-10-06T22:01:11Z","publication":"Journal of the London Mathematical Society","das_tickbox":"0","issue":"4","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"doi":"10.1112/jlms.12991"},{"supplementarymaterial":"no","corr_author":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.16648","open_access":"1"}],"researchdata_availability":"no","date_created":"2024-10-10T13:15:43Z","year":"2024","das_tickbox":"0","publication":"arXiv","doi":"10.48550/arXiv.2405.16648","external_id":{"arxiv":["2405.16648"]},"publication_status":"submitted","abstract":[{"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.","lang":"eng"}],"article_processing_charge":"No","title":"Canonical singularities on moduli spaces of rational curves via the circle method","OA_place":"repository","author":[{"last_name":"Glas","first_name":"Jakob","full_name":"Glas, Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","related_material":{"record":[{"status":"public","id":"19013","relation":"later_version"},{"id":"18132","relation":"dissertation_contains","status":"public"}]},"project":[{"name":"Rational curves via function field analytic number theory","grant_number":"P36278","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3"}],"citation":{"short":"J. Glas, ArXiv (n.d.).","ieee":"J. Glas, “Canonical singularities on moduli spaces of rational curves via the circle method,” arXiv. .","ista":"Glas J. Canonical singularities on moduli spaces of rational curves via the circle method. arXiv, 10.48550/arXiv.2405.16648.","ama":"Glas J. Canonical singularities on moduli spaces of rational curves via the circle method. arXiv. doi:10.48550/arXiv.2405.16648","apa":"Glas, J. (n.d.). Canonical singularities on moduli spaces of rational curves via the circle method. arXiv. https://doi.org/10.48550/arXiv.2405.16648","chicago":"Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the Circle Method.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2405.16648.","mla":"Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the Circle Method.” ArXiv, doi:10.48550/arXiv.2405.16648."},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"26","status":"public","oa":1,"date_updated":"2026-07-29T10:05:58Z","department":[{"_id":"TiBr"}],"arxiv":1,"date_published":"2024-05-26T00:00:00Z","month":"05","language":[{"iso":"eng"}],"type":"preprint","oa_version":"Preprint","_id":"18295"},{"citation":{"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.","ama":"Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv. doi:10.48550/arXiv.2412.14923","apa":"Glas, J., & Hase-Liu, M. (n.d.). Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv. https://doi.org/10.48550/arXiv.2412.14923","chicago":"Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2412.14923.","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."},"status":"public","day":"19","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_published":"2024-12-19T00:00:00Z","language":[{"iso":"eng"}],"month":"12","date_updated":"2026-07-29T10:05:58Z","arxiv":1,"department":[{"_id":"TiBr"}],"oa":1,"_id":"19013","oa_version":"Preprint","type":"preprint","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2412.14923"}],"supplementarymaterial":"no","corr_author":"1","doi":"10.48550/arXiv.2412.14923","das_tickbox":"0","publication":"arXiv","date_created":"2025-02-07T12:04:11Z","year":"2024","researchdata_availability":"no","title":"Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method","article_processing_charge":"No","external_id":{"arxiv":["2412.14923"]},"publication_status":"draft","abstract":[{"lang":"eng","text":"We study the singularities of the moduli space of degree e maps from smooth genus g curves to an arbitrary smooth hypersurface of low degree. For e large compared to g, we show that these moduli spaces have at worst terminal singularities. Our main approach is to study the jet schemes of these moduli spaces by developing a suitable form of the circle method."}],"related_material":{"record":[{"relation":"earlier_version","id":"18295","status":"public"}]},"author":[{"id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","full_name":"Glas, Jakob","last_name":"Glas","first_name":"Jakob"},{"full_name":"Hase-Liu, Matthew ","last_name":"Hase-Liu","first_name":"Matthew "}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"repository"},{"publication_status":"published","external_id":{"isi":["001241932700001"],"pmid":["38095355"]},"abstract":[{"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.","lang":"eng"}],"article_processing_charge":"Yes (via OA deal)","keyword":["General Chemistry","Catalysis"],"title":"To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries","volume":63,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Rajesh B","last_name":"Jethwa","full_name":"Jethwa, Rajesh B","orcid":"0000-0002-0404-4356","id":"4cc538d5-803f-11ed-ab7e-8139573aad8f"},{"last_name":"Mondal","first_name":"Soumyadip","full_name":"Mondal, Soumyadip","id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48"},{"first_name":"Bhargavi","last_name":"Pant","id":"50c64d4d-eb97-11eb-a6c2-d33e5e14f112","full_name":"Pant, Bhargavi"},{"full_name":"Freunberger, Stefan Alexander","orcid":"0000-0003-2902-5319","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","first_name":"Stefan Alexander","last_name":"Freunberger"}],"pmid":1,"related_material":{"record":[{"relation":"dissertation_contains","id":"20607","status":"public"}]},"file":[{"date_created":"2024-07-16T11:54:46Z","content_type":"application/pdf","file_name":"2024_AngChemieInt_Jethwa.pdf","creator":"dernst","success":1,"file_id":"17261","relation":"main_file","checksum":"fe2c23454279eb9d76ed6ca9970c21c7","access_level":"open_access","date_updated":"2024-07-16T11:54:46Z","file_size":4766445}],"quality_controlled":"1","corr_author":"1","ddc":["540"],"has_accepted_license":"1","article_number":"e202316476","date_created":"2023-12-15T16:10:13Z","year":"2024","publication":"Angewandte Chemie International Edition","doi":"10.1002/anie.202316476","publication_identifier":{"eissn":["1521-3773"],"issn":["1433-7851"]},"issue":"28","file_date_updated":"2024-07-16T11:54:46Z","oa":1,"isi":1,"date_updated":"2026-07-29T12:57:15Z","department":[{"_id":"StFr"},{"_id":"GradSch"}],"publisher":"Wiley","date_published":"2024-07-08T00:00:00Z","month":"07","language":[{"iso":"eng"}],"type":"journal_article","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.","oa_version":"Published Version","intvolume":" 63","article_type":"review","scopus_import":"1","_id":"14687","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program"}],"citation":{"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.","apa":"Jethwa, R. B., Mondal, S., Pant, B., & Freunberger, S. A. (2024). To DISP or not? The far‐reaching reaction mechanisms underpinning Lithium‐air batteries. Angewandte Chemie International Edition. Wiley. https://doi.org/10.1002/anie.202316476","chicago":"Jethwa, Rajesh B, Soumyadip Mondal, Bhargavi Pant, and Stefan Alexander Freunberger. “To DISP or Not? The Far‐reaching Reaction Mechanisms Underpinning Lithium‐air Batteries.” Angewandte Chemie International Edition. Wiley, 2024. https://doi.org/10.1002/anie.202316476.","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.","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","short":"R.B. Jethwa, S. Mondal, B. Pant, S.A. Freunberger, Angewandte Chemie International Edition 63 (2024).","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."},"tmp":{"short":"CC BY-NC-ND (4.0)","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","image":"/images/cc_by_nc_nd.png"},"ec_funded":1,"status":"public","day":"08"},{"publication":"Faraday Discussions","publication_identifier":{"issn":["1359-6640"],"eissn":["1364-5498"]},"doi":"10.1039/d3fd00088e","year":"2024","date_created":"2023-05-22T06:53:34Z","ddc":["540"],"has_accepted_license":"1","quality_controlled":"1","file":[{"content_type":"application/pdf","file_name":"2024_FaradayDiscussions_Mondal.pdf","date_created":"2024-07-16T07:46:39Z","success":1,"creator":"dernst","file_id":"17249","date_updated":"2024-07-16T07:46:39Z","file_size":1303733,"access_level":"open_access","checksum":"6515a227ed3e8942496fe6a1feeffd18","relation":"main_file"}],"corr_author":"1","related_material":{"record":[{"id":"20607","relation":"dissertation_contains","status":"public"}]},"pmid":1,"volume":248,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48","full_name":"Mondal, Soumyadip","last_name":"Mondal","first_name":"Soumyadip"},{"id":"4cc538d5-803f-11ed-ab7e-8139573aad8f","orcid":"0000-0002-0404-4356","full_name":"Jethwa, Rajesh B","last_name":"Jethwa","first_name":"Rajesh B"},{"full_name":"Pant, Bhargavi","id":"50c64d4d-eb97-11eb-a6c2-d33e5e14f112","last_name":"Pant","first_name":"Bhargavi"},{"orcid":"0000-0001-9843-3522","id":"4E01D6B4-F248-11E8-B48F-1D18A9856A87","full_name":"Hauschild, Robert","last_name":"Hauschild","first_name":"Robert"},{"first_name":"Stefan Alexander","last_name":"Freunberger","full_name":"Freunberger, Stefan Alexander","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","orcid":"0000-0003-2902-5319"}],"title":"Singlet oxygen in non-aqueous oxygen redox: Direct spectroscopic evidence for formation pathways and reliability of chemical probes","keyword":["Physical and Theoretical Chemistry"],"abstract":[{"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.","lang":"eng"}],"external_id":{"pmid":["37750344"],"isi":["001070423500001"]},"publication_status":"published","page":"175-189","license":"https://creativecommons.org/licenses/by-nc/3.0/","article_processing_charge":"Yes (via OA deal)","day":"01","status":"public","tmp":{"short":"CC BY-NC (3.0)","name":"Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)","image":"/images/cc_by_nc.png","legal_code_url":"https://creativecommons.org/licenses/by-nc/3.0/legalcode"},"citation":{"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.","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","mla":"Mondal, Soumyadip, et al. “Singlet Oxygen in Non-Aqueous Oxygen Redox: Direct Spectroscopic Evidence for Formation Pathways and Reliability of Chemical Probes.” Faraday Discussions, vol. 248, Royal Society of Chemistry, 2024, pp. 175–89, doi:10.1039/d3fd00088e.","short":"S. Mondal, R.B. Jethwa, B. Pant, R. Hauschild, S.A. Freunberger, Faraday Discussions 248 (2024) 175–189.","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.","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","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."},"_id":"13044","scopus_import":"1","type":"journal_article","article_type":"original","intvolume":" 248","oa_version":"Published Version","department":[{"_id":"StFr"},{"_id":"Bio"}],"publisher":"Royal Society of Chemistry","date_updated":"2026-07-29T12:57:14Z","month":"01","language":[{"iso":"eng"}],"date_published":"2024-01-01T00:00:00Z","oa":1,"file_date_updated":"2024-07-16T07:46:39Z","isi":1},{"related_material":{"record":[{"status":"public","relation":"later_version","id":"22607"},{"status":"public","relation":"dissertation_contains","id":"21393"}],"link":[{"description":"full version of all definitions, statement, and proofs","relation":"software","url":"https://github.com/madvorak/duality/tree/v3.2"}]},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"first_name":"Martin","last_name":"Dvorak","orcid":"0000-0001-5293-214X","id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425","full_name":"Dvorak, Martin"},{"full_name":"Kolmogorov, Vladimir","id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","last_name":"Kolmogorov","first_name":"Vladimir"}],"OA_place":"repository","keyword":["Farkas lemma","linear programming","extended reals","calculus of inductive constructions"],"title":"Duality theory in linear optimization and its extensions -- formally verified","article_processing_charge":"No","publication_status":"draft","external_id":{"arxiv":["2409.08119"]},"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\"."}],"doi":"10.48550/arXiv.2409.08119","publication":"arXiv","date_created":"2025-07-23T11:21:52Z","year":"2024","article_number":"2409.08119","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2409.08119","open_access":"1"}],"corr_author":"1","_id":"20071","oa_version":"Preprint","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.","type":"preprint","date_published":"2024-09-12T00:00:00Z","month":"09","language":[{"iso":"eng"}],"date_updated":"2026-07-29T12:56:51Z","arxiv":1,"department":[{"_id":"GradSch"},{"_id":"VlKo"}],"oa":1,"status":"public","day":"12","OA_type":"green","citation":{"short":"M. Dvorak, V. Kolmogorov, ArXiv (n.d.).","ieee":"M. Dvorak and V. Kolmogorov, “Duality theory in linear optimization and its extensions -- formally verified,” arXiv. .","ista":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally verified. arXiv, 2409.08119.","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.","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","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."}},{"file_date_updated":"2024-10-21T09:34:50Z","oa":1,"isi":1,"date_updated":"2026-07-29T12:57:48Z","department":[{"_id":"GaTk"}],"publisher":"Oxford University Press","date_published":"2024-10-01T00:00:00Z","month":"10","language":[{"iso":"eng"}],"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.","type":"journal_article","oa_version":"Published Version","intvolume":" 78","article_type":"original","scopus_import":"1","_id":"18307","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.","short":"S. Rella, Y.A. Kulikova, A. Minnegalieva, F. Kondrashov, Evolution: International Journal of Organic Evolution 78 (2024) 1722–1738.","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","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.","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","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."},"tmp":{"short":"CC BY-NC-ND (4.0)","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","image":"/images/cc_by_nc_nd.png"},"OA_type":"hybrid","status":"public","day":"01","external_id":{"isi":["001286581900001"],"pmid":["38990788"]},"publication_status":"published","abstract":[{"lang":"eng","text":"Vaccination is the most effective tool to control infectious diseases. However, the evolution of vaccine resistance, exemplified by vaccine resistance in SARS-CoV-2, remains a concern. Here, we model complex vaccination strategies against a pathogen with multiple epitopes—molecules targeted by the vaccine. We found that a vaccine targeting one epitope was ineffective in preventing vaccine escape. Vaccine resistance in highly infectious pathogens was prevented by the full-epitope vaccine, that is, one targeting all available epitopes, but only when the rate of pathogen evolution was low. Strikingly, a bet-hedging strategy of random administration of vaccines targeting different epitopes was the most effective in preventing vaccine resistance in pathogens with the low rate of infection and high rate of evolution. Thus, complex vaccination strategies, when biologically feasible, may be preferable to the currently used single-vaccine approaches for long-term control of disease outbreaks, especially when applied to livestock with near 100% vaccination rates."}],"article_processing_charge":"Yes (via OA deal)","page":"1722-1738","title":"Complex vaccination strategies prevent the emergence of vaccine resistance","volume":78,"OA_place":"publisher","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Simon","last_name":"Rella","full_name":"Rella, Simon","id":"B4765ACA-AA38-11E9-AC9A-0930E6697425"},{"first_name":"Yuliya A.","last_name":"Kulikova","full_name":"Kulikova, Yuliya A."},{"last_name":"Minnegalieva","first_name":"Aygul","full_name":"Minnegalieva, Aygul","id":"87DF77F0-1D9A-11EA-B6AE-CE443DDC885E"},{"full_name":"Kondrashov, Fyodor","id":"44FDEF62-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8243-4694","first_name":"Fyodor","last_name":"Kondrashov"}],"pmid":1,"related_material":{"link":[{"url":"https://github.com/Simon-Re/complex-vaccination","relation":"software"}],"record":[{"relation":"research_data","id":"14862","status":"public"},{"id":"20811","relation":"dissertation_contains","status":"public"}]},"quality_controlled":"1","file":[{"file_id":"18453","checksum":"5c6e8475bb88b07d424a5130d5e91e74","relation":"main_file","access_level":"open_access","file_size":29360811,"date_updated":"2024-10-21T09:34:50Z","date_created":"2024-10-21T09:34:50Z","content_type":"application/pdf","file_name":"2024_Evolution_Rella.pdf","creator":"dernst","success":1}],"corr_author":"1","ddc":["570"],"has_accepted_license":"1","date_created":"2024-10-13T22:01:50Z","year":"2024","publication":"Evolution: International journal of organic evolution","publication_identifier":{"eissn":["1558-5646"]},"doi":"10.1093/evolut/qpae106","issue":"10"},{"_id":"15322","scopus_import":"1","type":"journal_article","article_type":"letter_note","oa_version":"None","intvolume":" 109","publisher":"American Physical Society","department":[{"_id":"ScWa"}],"date_updated":"2026-07-29T13:11:24Z","language":[{"iso":"eng"}],"month":"03","date_published":"2024-03-29T00:00:00Z","isi":1,"day":"29","status":"public","citation":{"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","ista":"Sobarzo Ponce JCA, Waitukaitis SR. 2024. Multiple charge carrier species as a possible cause for triboelectric cycles. Physical Review E. 109(3), 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.","short":"J.C.A. Sobarzo Ponce, S.R. Waitukaitis, Physical Review E 109 (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.","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","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."},"related_material":{"record":[{"relation":"dissertation_contains","id":"20203","status":"public"}]},"pmid":1,"volume":109,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"full_name":"Sobarzo Ponce, Juan Carlos A","id":"4B807D68-AE37-11E9-AC72-31CAE5697425","first_name":"Juan Carlos A","last_name":"Sobarzo Ponce"},{"full_name":"Waitukaitis, Scott R","orcid":"0000-0002-2299-3176","id":"3A1FFC16-F248-11E8-B48F-1D18A9856A87","last_name":"Waitukaitis","first_name":"Scott R"}],"title":"Multiple charge carrier species as a possible cause for triboelectric cycles","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."}],"publication_status":"published","external_id":{"isi":["001199745200004"],"pmid":["38632754"]},"article_processing_charge":"No","publication":"Physical Review E","issue":"3","doi":"10.1103/PhysRevE.109.L032108","publication_identifier":{"issn":["2470-0045"],"eissn":["2470-0053"]},"article_number":"L032108","year":"2024","date_created":"2024-04-14T22:01:03Z","quality_controlled":"1","corr_author":"1"},{"citation":{"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.","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","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.","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.","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.","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","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."},"project":[{"name":"Algorithms for Embeddings and Homotopy Theory","call_identifier":"FWF","grant_number":"P31312","_id":"26611F5C-B435-11E9-9278-68D0E5697425"},{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program"}],"alternative_title":["LIPIcs"],"day":"01","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ec_funded":1,"date_published":"2024-03-01T00:00:00Z","language":[{"iso":"eng"}],"month":"03","date_updated":"2026-07-29T13:13:17Z","department":[{"_id":"UlWa"}],"arxiv":1,"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","isi":1,"file_date_updated":"2024-03-25T07:44:30Z","oa":1,"scopus_import":"1","_id":"15168","oa_version":"Published Version","intvolume":" 289","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).","type":"conference","has_accepted_license":"1","ddc":["510"],"conference":{"name":"STACS: Symposium on Theoretical Aspects of Computer Science","start_date":"2024-03-12","location":"Clermont-Ferrand, France","end_date":"2024-03-14"},"corr_author":"1","file":[{"creator":"dernst","success":1,"date_created":"2024-03-25T07:44:30Z","content_type":"application/pdf","file_name":"2024_LIPICs_Filakovsky.pdf","checksum":"0524d4189fd1ed08989546511343edf3","relation":"main_file","access_level":"open_access","file_size":927290,"date_updated":"2024-03-25T07:44:30Z","file_id":"15175"}],"quality_controlled":"1","publication_identifier":{"eissn":["1868-8969"],"isbn":["9783959773119"]},"doi":"10.4230/LIPIcs.STACS.2024.34","publication":"41st International Symposium on Theoretical Aspects of Computer Science","date_created":"2024-03-24T23:00:59Z","year":"2024","article_number":"34","title":"Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs","article_processing_charge":"No","external_id":{"isi":["001300393400034"],"arxiv":["2312.12981"]},"publication_status":"published","abstract":[{"lang":"eng","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)."}],"related_material":{"record":[{"status":"public","id":"22247","relation":"later_version"},{"status":"public","relation":"dissertation_contains","id":"20339"}]},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Marek","last_name":"Filakovský","id":"3E8AF77E-F248-11E8-B48F-1D18A9856A87","full_name":"Filakovský, Marek"},{"full_name":"Nakajima, Tamio Vesa","first_name":"Tamio Vesa","last_name":"Nakajima"},{"id":"ec596741-c539-11ec-b829-c79322a91242","orcid":"0000-0003-1245-3456","full_name":"Opršal, Jakub","first_name":"Jakub","last_name":"Opršal"},{"full_name":"Tasinato, Gianluca","id":"0433290C-AF8F-11E9-A4C7-F729E6697425","first_name":"Gianluca","last_name":"Tasinato"},{"last_name":"Wagner","first_name":"Uli","full_name":"Wagner, Uli","orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87"}],"volume":289},{"corr_author":"1","quality_controlled":"1","issue":"4","publication_identifier":{"eissn":["1526-5471"],"issn":["0364-765X"]},"doi":"10.1287/moor.2022.0332","publication":"Mathematics of Operations Research","year":"2024","date_created":"2024-10-09T07:02:20Z","title":"Value-positivity for matrix games","page":"2433-3282","article_processing_charge":"No","abstract":[{"text":"Matrix games are the most basic model in game theory, and yet robustness with respect to small perturbations of the matrix entries is not fully understood. In this paper, we introduce value positivity and uniform value positivity, two properties that refine the notion of optimality in the context of polynomially perturbed matrix games. The first concept captures how the value depends on the perturbation parameter, and the second consists of the existence of a fixed strategy that guarantees the value of the unperturbed matrix game for every sufficiently small positive parameter. We provide polynomial-time algorithms to check whether a polynomially perturbed matrix game satisfies these properties. We further provide the functional form for a parameterized optimal strategy and the value function. Finally, we translate our results to linear programming and stochastic games, where value positivity is related to the existence of robust solutions.","lang":"eng"}],"publication_status":"published","external_id":{"isi":["001328875900001"]},"related_material":{"record":[{"relation":"dissertation_contains","id":"20234","status":"public"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","first_name":"Krishnendu"},{"full_name":"Oliu-Barton, Miquel","last_name":"Oliu-Barton","first_name":"Miquel"},{"orcid":"0000-0001-5103-038X","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","full_name":"Saona Urmeneta, Raimundo J","last_name":"Saona Urmeneta","first_name":"Raimundo J"}],"volume":50,"citation":{"apa":"Chatterjee, K., Oliu-Barton, M., & Saona Urmeneta, R. J. (2024). Value-positivity for matrix games. Mathematics of Operations Research. Institute for Operations Research and the Management Sciences. https://doi.org/10.1287/moor.2022.0332","chicago":"Chatterjee, Krishnendu, Miquel Oliu-Barton, and Raimundo J Saona Urmeneta. “Value-Positivity for Matrix Games.” Mathematics of Operations Research. Institute for Operations Research and the Management Sciences, 2024. https://doi.org/10.1287/moor.2022.0332.","mla":"Chatterjee, Krishnendu, et al. “Value-Positivity for Matrix Games.” Mathematics of Operations Research, vol. 50, no. 4, Institute for Operations Research and the Management Sciences, 2024, pp. 2433–3282, doi:10.1287/moor.2022.0332.","ieee":"K. Chatterjee, M. Oliu-Barton, and R. J. Saona Urmeneta, “Value-positivity for matrix games,” Mathematics of Operations Research, vol. 50, no. 4. Institute for Operations Research and the Management Sciences, pp. 2433–3282, 2024.","short":"K. Chatterjee, M. Oliu-Barton, R.J. Saona Urmeneta, Mathematics of Operations Research 50 (2024) 2433–3282.","ista":"Chatterjee K, Oliu-Barton M, Saona Urmeneta RJ. 2024. Value-positivity for matrix games. Mathematics of Operations Research. 50(4), 2433–3282.","ama":"Chatterjee K, Oliu-Barton M, Saona Urmeneta RJ. Value-positivity for matrix games. Mathematics of Operations Research. 2024;50(4):2433-3282. doi:10.1287/moor.2022.0332"},"project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"day":"01","status":"public","ec_funded":1,"OA_type":"closed access","language":[{"iso":"eng"}],"month":"10","date_published":"2024-10-01T00:00:00Z","publisher":"Institute for Operations Research and the Management Sciences","department":[{"_id":"GradSch"},{"_id":"KrCh"}],"date_updated":"2026-07-29T13:14:36Z","isi":1,"_id":"18266","scopus_import":"1","article_type":"original","intvolume":" 50","oa_version":"None","type":"journal_article","acknowledgement":"This research was supported by Fondation CFM pour la Recherche, the H2020 European Research Council [Grant ERC-CoG-863818 (ForM-SMArt)], the Austrian Science Fund [Grant 10.55776/COE12], ANID Chile [Grant ACT210005], and Agence Nationale de la Recherche [Grant ANR-21-CE40-0020]."},{"title":"Eigenstate thermalisation at the edge for Wigner matrices","article_processing_charge":"No","abstract":[{"lang":"eng","text":"We prove the Eigenstate Thermalisation Hypothesis for Wigner matrices\r\nuniformly in the entire spectrum, in particular near the spectral edges, with a\r\nbound on the fluctuation that is optimal for any observable. This complements\r\nearlier works of Cipolloni et. al. (Comm. Math. Phys. 388, 2021; Forum Math.,\r\nSigma 10, 2022) and Benigni et. al. (Comm. Math. Phys. 391, 2022; arXiv:\r\n2303.11142) that were restricted either to the bulk of the spectrum or to\r\nspecial observables. As a main ingredient, we prove a new multi-resolvent local\r\nlaw that optimally accounts for the edge scaling."}],"external_id":{"arxiv":["2309.05488"]},"publication_status":"draft","related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"}]},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"first_name":"Giorgio","last_name":"Cipolloni","orcid":"0000-0002-4901-7992","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","full_name":"Cipolloni, Giorgio"},{"last_name":"Erdös","first_name":"László","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603"},{"full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","last_name":"Henheik","first_name":"Sven Joscha"}],"OA_place":"repository","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2309.05488"}],"corr_author":"1","doi":"10.48550/arXiv.2309.05488","publication":"arXiv","year":"2024","date_created":"2025-04-11T08:19:22Z","language":[{"iso":"eng"}],"month":"12","date_published":"2024-12-17T00:00:00Z","arxiv":1,"department":[{"_id":"LaEr"}],"date_updated":"2026-07-29T13:18:16Z","oa":1,"_id":"19545","oa_version":"Preprint","acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","type":"preprint","citation":{"ista":"Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for Wigner matrices. arXiv, 10.48550/arXiv.2309.05488.","ama":"Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for Wigner matrices. arXiv. doi:10.48550/arXiv.2309.05488","ieee":"G. Cipolloni, L. Erdös, and S. J. Henheik, “Eigenstate thermalisation at the edge for Wigner matrices,” arXiv. .","short":"G. Cipolloni, L. Erdös, S.J. Henheik, ArXiv (n.d.).","mla":"Cipolloni, Giorgio, et al. “Eigenstate Thermalisation at the Edge for Wigner Matrices.” ArXiv, doi:10.48550/arXiv.2309.05488.","chicago":"Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Eigenstate Thermalisation at the Edge for Wigner Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2309.05488.","apa":"Cipolloni, G., Erdös, L., & Henheik, S. J. (n.d.). Eigenstate thermalisation at the edge for Wigner matrices. arXiv. https://doi.org/10.48550/arXiv.2309.05488"},"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"day":"17","status":"public","ec_funded":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"}},{"type":"preprint","OA_place":"repository","oa_version":"Preprint","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","last_name":"Henheik"},{"full_name":"Langmann, Edwin","first_name":"Edwin","last_name":"Langmann"},{"last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard"}],"_id":"19550","related_material":{"record":[{"status":"public","id":"22290","relation":"later_version"},{"id":"19540","relation":"dissertation_contains","status":"public"}]},"oa":1,"abstract":[{"text":"We introduce a multi-band BCS free energy functional and prove that for a\r\nmulti-band superconductor the effect of inter-band coupling can only increase\r\nthe critical temperature, irrespective of its attractive or repulsive nature\r\nand its strength. Further, for weak coupling and weaker inter-band coupling, we\r\nprove that the dependence of the increase in critical temperature on the\r\ninter-band coupling is (1) linear, if there are two or more equally strongly\r\nsuperconducting bands, or (2) quadratic, if there is only one dominating band.","lang":"eng"}],"external_id":{"arxiv":["2409.17297"]},"publication_status":"draft","article_processing_charge":"No","arxiv":1,"department":[{"_id":"LaEr"},{"_id":"RoSe"}],"date_updated":"2026-07-29T13:18:16Z","title":"Multi-band superconductors have enhanced critical temperatures","month":"10","language":[{"iso":"eng"}],"date_published":"2024-10-21T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"year":"2024","date_created":"2025-04-11T11:43:58Z","status":"public","day":"21","publication":"arXiv","doi":"10.48550/arXiv.2409.17297","corr_author":"1","citation":{"mla":"Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” ArXiv, doi:10.48550/arXiv.2409.17297.","chicago":"Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.17297.","apa":"Henheik, S. J., Langmann, E., & Lauritsen, A. B. (n.d.). Multi-band superconductors have enhanced critical temperatures. arXiv. https://doi.org/10.48550/arXiv.2409.17297","ama":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv. doi:10.48550/arXiv.2409.17297","ista":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv, 10.48550/arXiv.2409.17297.","ieee":"S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors have enhanced critical temperatures,” arXiv. .","short":"S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.)."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2409.17297"}]},{"has_accepted_license":"1","ddc":["510"],"corr_author":"1","quality_controlled":"1","file":[{"creator":"dernst","success":1,"content_type":"application/pdf","file_name":"2025_JourFunctionalAnalysis_Cipolloni.pdf","date_created":"2025-06-24T13:14:21Z","file_size":1374854,"date_updated":"2025-06-24T13:14:21Z","checksum":"07d3f73e0c56e68eb110851842c22ee0","relation":"main_file","access_level":"open_access","file_id":"19891"}],"issue":"4","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"doi":"10.1016/j.jfa.2024.110495","publication":"Journal of Functional Analysis","year":"2024","date_created":"2024-05-26T22:00:57Z","article_number":"110495","title":"Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices","article_processing_charge":"Yes (via OA deal)","abstract":[{"lang":"eng","text":"We consider large non-Hermitian NxN matrices with an additive independent, identically distributed (i.i.d.) noise for each matrix elements. We show that already a small noise of variance 1/N completely thermalises the bulk singular vectors, in particular they satisfy the strong form of Quantum Unique Ergodicity (QUE) with an optimal speed of convergence. In physics terms, we thus extend the Eigenstate Thermalisation Hypothesis, formulated originally by Deutsch [34] and proven for Wigner matrices in [23], to arbitrary non-Hermitian matrices with an i.i.d. noise. As a consequence we obtain an optimal lower bound on the diagonal overlaps of the corresponding non-Hermitian eigenvectors. This quantity, also known as the (square of the) eigenvalue condition number measuring the sensitivity of the eigenvalue to small perturbations, has notoriously escaped rigorous treatment beyond the explicitly computable Ginibre ensemble apart from the very recent upper bounds given in [7] and [45]. As a key tool, we develop a new systematic decomposition of general observables in random matrix theory that governs the size of products of resolvents with deterministic matrices in between."}],"publication_status":"published","external_id":{"isi":["001325502400001"]},"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"author":[{"full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","first_name":"Giorgio","last_name":"Cipolloni"},{"last_name":"Erdös","first_name":"László","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Sven Joscha","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha"},{"full_name":"Schröder, Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2904-1856","last_name":"Schröder","first_name":"Dominik J"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher","volume":287,"citation":{"chicago":"Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Dominik J Schröder. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110495.","apa":"Cipolloni, G., Erdös, L., Henheik, S. J., & Schröder, D. J. (2024). Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110495","mla":"Cipolloni, Giorgio, et al. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” Journal of Functional Analysis, vol. 287, no. 4, 110495, Elsevier, 2024, doi:10.1016/j.jfa.2024.110495.","short":"G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).","ieee":"G. Cipolloni, L. Erdös, S. J. Henheik, and D. J. Schröder, “Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices,” Journal of Functional Analysis, vol. 287, no. 4. Elsevier, 2024.","ama":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 2024;287(4). doi:10.1016/j.jfa.2024.110495","ista":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. 2024. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 287(4), 110495."},"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"day":"15","status":"public","ec_funded":1,"OA_type":"hybrid","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"month":"08","language":[{"iso":"eng"}],"date_published":"2024-08-15T00:00:00Z","department":[{"_id":"LaEr"}],"publisher":"Elsevier","date_updated":"2026-07-29T13:18:17Z","isi":1,"oa":1,"file_date_updated":"2025-06-24T13:14:21Z","_id":"17049","scopus_import":"1","article_type":"original","intvolume":" 287","oa_version":"Published Version","type":"journal_article","acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nSupported by the SNSF Ambizione Grant PZ00P2_209089."}]