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Kmentt and A. L. Shute, “The Bertini irreducibility theorem for higher codimensional slices,” Finite Fields and their Applications, vol. 83, no. 10. Elsevier, 2022.","short":"P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).","chicago":"Kmentt, Philip, and Alec L Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” Finite Fields and Their Applications. Elsevier, 2022. https://doi.org/10.1016/j.ffa.2022.102085.","ista":"Kmentt P, Shute AL. 2022. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 83(10), 102085.","ama":"Kmentt P, Shute AL. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 2022;83(10). doi:10.1016/j.ffa.2022.102085"},"date_published":"2022-10-01T00:00:00Z","ddc":["510"],"article_type":"original","das_tickbox":"0","publication_status":"published","intvolume":" 83","isi":1,"doi":"10.1016/j.ffa.2022.102085","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication":"Finite Fields and their Applications","author":[{"first_name":"Philip","id":"c90670c9-0bf0-11ed-86f5-ed522ece2fac","last_name":"Kmentt","full_name":"Kmentt, Philip"},{"last_name":"Shute","orcid":"0000-0002-1812-2810","id":"440EB050-F248-11E8-B48F-1D18A9856A87","full_name":"Shute, Alec L","first_name":"Alec L"}],"language":[{"iso":"eng"}],"supplementarymaterial":"no","date_created":"2022-07-24T22:01:41Z","quality_controlled":"1","date_updated":"2026-07-29T10:45:21Z","volume":83,"_id":"11636","article_number":"102085","type":"journal_article","month":"10","issue":"10","abstract":[{"lang":"eng","text":"In [3], Poonen and Slavov recently developed a novel approach to Bertini irreducibility theorems over an arbitrary field, based on random hyperplane slicing. In this paper, we extend their work by proving an analogous bound for the dimension of the exceptional locus in the setting of linear subspaces of higher codimensions."}],"file_date_updated":"2023-02-02T07:56:34Z","status":"public","year":"2022","day":"01","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"license":"https://creativecommons.org/licenses/by/4.0/","scopus_import":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"The Bertini irreducibility theorem for higher codimensional slices","external_id":{"isi":["000835490600001"],"arxiv":["2111.06697"]},"arxiv":1},{"quality_controlled":"1","acknowledgement":"The authors warmly thank Amos Nevo for having presented the authors to each other during\r\na beautiful conference in Goa in February 2016, where the idea of this paper was born. The\r\nfirst author thanks the IHES for two post-doctoral years when most of this paper was discussed,\r\nand the Topology team in Orsay for financial support at the final stage. The first author was\r\nsupported by the EPRSC EP/P026710/1 grant. Finally, we warmly thank the referee for many\r\nvery helpful comments that have improved the readability of this paper.","date_updated":"2026-07-29T10:46:58Z","volume":34,"_id":"12684","type":"journal_article","month":"01","issue":"3","abstract":[{"lang":"eng","text":"Given a place ω of a global function field K over a finite field, with associated affine function ring Rω and completion Kω , the aim of this paper is to give an effective joint equidistribution result for renormalized primitive lattice points (a,b)∈Rω2 in the plane Kω2 , and for renormalized solutions to the gcd equation ax+by=1 . The main tools are techniques of Goronik and Nevo for counting lattice points in well-rounded families of subsets. This gives a sharper analog in positive characteristic of a result of Nevo and the first author for the equidistribution of the primitive lattice points in \\ZZ2 ."}],"file_date_updated":"2023-02-27T09:10:13Z","page":"679-703","status":"public","year":"2022","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","short":"CC BY-ND (4.0)","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","image":"/image/cc_by_nd.png"},"day":"27","license":"https://creativecommons.org/licenses/by-nd/4.0/","scopus_import":"1","title":"Effective equidistribution of lattice points in positive characteristic","external_id":{"arxiv":["2001.01534"],"isi":["000926504300003"]},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","arxiv":1,"publication_identifier":{"issn":["1246-7405"],"eissn":["2118-8572"]},"oa_version":"Published Version","file":[{"relation":"main_file","content_type":"application/pdf","file_id":"12689","checksum":"08f28fded270251f568f610cf5166d69","success":1,"date_created":"2023-02-27T09:10:13Z","creator":"dernst","file_name":"2023_JourTheorieNombreBordeaux_Horesh.pdf","access_level":"open_access","file_size":870468,"date_updated":"2023-02-27T09:10:13Z"}],"department":[{"_id":"TiBr"}],"oa":1,"corr_author":"1","publisher":"Université de Bordeaux","citation":{"ieee":"T. Horesh and F. Paulin, “Effective equidistribution of lattice points in positive characteristic,” Journal de Theorie des Nombres de Bordeaux, vol. 34, no. 3. Université de Bordeaux, pp. 679–703, 2022.","apa":"Horesh, T., & Paulin, F. (2022). Effective equidistribution of lattice points in positive characteristic. Journal de Theorie Des Nombres de Bordeaux. Université de Bordeaux. https://doi.org/10.5802/JTNB.1222","mla":"Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” Journal de Theorie Des Nombres de Bordeaux, vol. 34, no. 3, Université de Bordeaux, 2022, pp. 679–703, doi:10.5802/JTNB.1222.","ama":"Horesh T, Paulin F. Effective equidistribution of lattice points in positive characteristic. Journal de Theorie des Nombres de Bordeaux. 2022;34(3):679-703. doi:10.5802/JTNB.1222","short":"T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.","ista":"Horesh T, Paulin F. 2022. Effective equidistribution of lattice points in positive characteristic. Journal de Theorie des Nombres de Bordeaux. 34(3), 679–703.","chicago":"Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” Journal de Theorie Des Nombres de Bordeaux. Université de Bordeaux, 2022. https://doi.org/10.5802/JTNB.1222."},"researchdata_availability":"no","ddc":["510"],"date_published":"2022-01-27T00:00:00Z","article_type":"original","publication_status":"published","das_tickbox":"0","intvolume":" 34","isi":1,"doi":"10.5802/JTNB.1222","article_processing_charge":"No","publication":"Journal de Theorie des Nombres de Bordeaux","has_accepted_license":"1","language":[{"iso":"eng"}],"author":[{"full_name":"Horesh, Tal","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","last_name":"Horesh","first_name":"Tal"},{"last_name":"Paulin","full_name":"Paulin, Frédéric","first_name":"Frédéric"}],"supplementarymaterial":"no","date_created":"2023-02-26T23:01:02Z"},{"_id":"12065","issue":"9","month":"08","type":"journal_article","quality_controlled":"1","date_updated":"2026-07-29T12:57:14Z","volume":7,"acknowledgement":"S.A.F. and C.P. are indebted to the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 636069). This project has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant NanoEvolution, Grant Agreement No. 894042. S.A.F. and S.M. are indebted to Institute of Science and Technology Austria (ISTA) for support. This research was supported by the Scientific Service Units of ISTA through resources provided by the Electron Microscopy Facility and the Miba Machine Shop. C.P. thanks Vanessa Wood (ETH Zürich) for her continuing support.","day":"29","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2022","status":"public","title":"Exclusive solution discharge in Li-O₂ batteries?","external_id":{"pmid":["36120663"],"isi":["000860787000001"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","scopus_import":"1","page":"3112-3119","file_date_updated":"2023-01-20T08:43:51Z","abstract":[{"text":"Capacity, rate performance, and cycle life of aprotic Li–O2 batteries critically depend on reversible electrodeposition of Li2O2. Current understanding states surface-adsorbed versus solvated LiO2 controls Li2O2 growth as surface film or as large particles. Herein, we show that Li2O2 forms across a wide range of electrolytes, carbons, and current densities as particles via solution-mediated LiO2 disproportionation, bringing into question the prevalence of any surface growth under practical conditions. We describe a unified O2 reduction mechanism, which can explain all found capacity relations and Li2O2 morphologies with exclusive solution discharge. Determining particle morphology and achievable capacities are species mobilities, true areal rate, and the degree of LiO2 association in solution. Capacity is conclusively limited by mass transport through the tortuous Li2O2 rather than electron transport through a passivating Li2O2 film. Provided that species mobilities and surface growth are high, high capacities are also achieved with weakly solvating electrolytes, which were previously considered prototypical for low capacity via surface growth.","lang":"eng"}],"citation":{"ieee":"C. Prehal, S. Mondal, L. Lovicar, and S. A. Freunberger, “Exclusive solution discharge in Li-O₂ batteries?,” ACS Energy Letters, vol. 7, no. 9. American Chemical Society, pp. 3112–3119, 2022.","mla":"Prehal, Christian, et al. “Exclusive Solution Discharge in Li-O₂ Batteries?” ACS Energy Letters, vol. 7, no. 9, American Chemical Society, 2022, pp. 3112–19, doi:10.1021/acsenergylett.2c01711.","apa":"Prehal, C., Mondal, S., Lovicar, L., & Freunberger, S. A. (2022). Exclusive solution discharge in Li-O₂ batteries? ACS Energy Letters. American Chemical Society. https://doi.org/10.1021/acsenergylett.2c01711","ama":"Prehal C, Mondal S, Lovicar L, Freunberger SA. Exclusive solution discharge in Li-O₂ batteries? ACS Energy Letters. 2022;7(9):3112-3119. doi:10.1021/acsenergylett.2c01711","ista":"Prehal C, Mondal S, Lovicar L, Freunberger SA. 2022. Exclusive solution discharge in Li-O₂ batteries? ACS Energy Letters. 7(9), 3112–3119.","chicago":"Prehal, Christian, Soumyadip Mondal, Ludek Lovicar, and Stefan Alexander Freunberger. “Exclusive Solution Discharge in Li-O₂ Batteries?” ACS Energy Letters. American Chemical Society, 2022. https://doi.org/10.1021/acsenergylett.2c01711.","short":"C. Prehal, S. Mondal, L. Lovicar, S.A. Freunberger, ACS Energy Letters 7 (2022) 3112–3119."},"publisher":"American Chemical Society","corr_author":"1","date_published":"2022-08-29T00:00:00Z","ddc":["540"],"oa_version":"Published Version","file":[{"access_level":"open_access","file_size":3827583,"date_updated":"2023-01-20T08:43:51Z","file_name":"2022_ACSEnergyLetters_Prehal.pdf","relation":"main_file","content_type":"application/pdf","file_id":"12319","date_created":"2023-01-20T08:43:51Z","creator":"dernst","success":1,"checksum":"cf0bed3a2535c11d27244cd029dbc1d0"}],"department":[{"_id":"StFr"},{"_id":"EM-Fac"}],"publication_identifier":{"eissn":["2380-8195"]},"oa":1,"pmid":1,"related_material":{"record":[{"relation":"dissertation_contains","id":"20607","status":"public"}]},"author":[{"full_name":"Prehal, Christian","last_name":"Prehal","first_name":"Christian"},{"first_name":"Soumyadip","id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48","last_name":"Mondal","full_name":"Mondal, Soumyadip"},{"first_name":"Ludek","orcid":"0000-0001-6206-4200","id":"36DB3A20-F248-11E8-B48F-1D18A9856A87","last_name":"Lovicar","full_name":"Lovicar, Ludek"},{"first_name":"Stefan Alexander","full_name":"Freunberger, Stefan Alexander","last_name":"Freunberger","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","orcid":"0000-0003-2902-5319"}],"language":[{"iso":"eng"}],"date_created":"2022-09-08T09:51:09Z","intvolume":" 7","isi":1,"publication_status":"published","article_type":"original","publication":"ACS Energy Letters","has_accepted_license":"1","doi":"10.1021/acsenergylett.2c01711","acknowledged_ssus":[{"_id":"EM-Fac"},{"_id":"M-Shop"}],"article_processing_charge":"Yes (via OA deal)"},{"abstract":[{"lang":"eng","text":"Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the decision maker has approximately optimal strategies with finite memory. This implies notably that approximating the long-run value is recursively enumerable, as well as a weak continuity property of the value with respect to the transition function. "}],"project":[{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Game Theory","grant_number":"S11407"}],"page":"100-119","status":"public","year":"2022","day":"01","scopus_import":"1","title":"Finite-memory strategies in POMDPs with long-run average objectives","arxiv":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","external_id":{"isi":["000731918100001"],"arxiv":["1904.13360"]},"quality_controlled":"1","acknowledgement":"Partially supported by Austrian Science Fund (FWF) NFN Grant No RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT through grant C15E03.\r\n","date_updated":"2026-07-29T13:14:36Z","volume":47,"_id":"9311","type":"journal_article","month":"02","issue":"1","article_type":"original","publication_status":"published","isi":1,"intvolume":" 47","article_processing_charge":"No","doi":"10.1287/moor.2020.1116","publication":"Mathematics of Operations Research","language":[{"iso":"eng"}],"author":[{"first_name":"Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu"},{"orcid":"0000-0001-5103-038X","last_name":"Saona Urmeneta","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","full_name":"Saona Urmeneta, Raimundo J","first_name":"Raimundo J"},{"first_name":"Bruno","last_name":"Ziliotto","full_name":"Ziliotto, Bruno"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"20234","status":"public"}]},"keyword":["Management Science and Operations Research","General Mathematics","Computer Science Applications"],"date_created":"2021-04-08T09:33:31Z","publication_identifier":{"eissn":["1526-5471"],"issn":["0364-765X"]},"department":[{"_id":"GradSch"},{"_id":"KrCh"}],"oa_version":"Preprint","oa":1,"publisher":"Institute for Operations Research and the Management Sciences","citation":{"ieee":"K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies in POMDPs with long-run average objectives,” Mathematics of Operations Research, vol. 47, no. 1. Institute for Operations Research and the Management Sciences, pp. 100–119, 2022.","mla":"Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” Mathematics of Operations Research, vol. 47, no. 1, Institute for Operations Research and the Management Sciences, 2022, pp. 100–19, doi:10.1287/moor.2020.1116.","apa":"Chatterjee, K., Saona Urmeneta, R. J., & Ziliotto, B. (2022). Finite-memory strategies in POMDPs with long-run average objectives. Mathematics of Operations Research. Institute for Operations Research and the Management Sciences. https://doi.org/10.1287/moor.2020.1116","ama":"Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs with long-run average objectives. 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Mathematics of Operations Research. 47(1), 100–119."},"main_file_link":[{"url":"https://arxiv.org/abs/1904.13360","open_access":"1"}],"date_published":"2022-02-01T00:00:00Z"},{"has_accepted_license":"1","publication":"Journal of Statistical Physics","ec_funded":1,"doi":"10.1007/s10955-022-02965-9","article_processing_charge":"Yes (via OA deal)","isi":1,"intvolume":" 189","publication_status":"published","article_type":"original","date_created":"2022-08-05T11:36:56Z","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"related_material":{"record":[{"status":"public","id":"18135","relation":"dissertation_contains"},{"relation":"dissertation_contains","id":"19540","status":"public"}]},"language":[{"iso":"eng"}],"author":[{"first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha"},{"first_name":"Asbjørn Bækgaard","full_name":"Lauritsen, Asbjørn Bækgaard","last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288"}],"oa":1,"file":[{"access_level":"open_access","file_size":419563,"date_updated":"2022-08-08T07:36:34Z","relation":"main_file","content_type":"application/pdf","file_id":"11746","creator":"dernst","date_created":"2022-08-08T07:36:34Z","checksum":"b398c4dbf65f71d417981d6e366427e9","success":1,"file_name":"2022_JourStatisticalPhysics_Henheik.pdf"}],"oa_version":"Published Version","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"ddc":["530"],"date_published":"2022-07-29T00:00:00Z","citation":{"ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02965-9.","short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal of Statistical Physics, vol. 189. Springer Nature, 2022.","apa":"Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature, 2022, doi:10.1007/s10955-022-02965-9."},"publisher":"Springer Nature","corr_author":"1","file_date_updated":"2022-08-08T07:36:34Z","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"abstract":[{"text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature.","lang":"eng"}],"title":"The BCS energy gap at high density","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","external_id":{"isi":["000833007200002"]},"scopus_import":"1","day":"29","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2022","status":"public","date_updated":"2026-07-29T13:18:16Z","volume":189,"acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","quality_controlled":"1","month":"07","type":"journal_article","article_number":"5","_id":"11732"},{"keyword":["mathematical physics","statistical and nonlinear physics"],"date_created":"2022-01-18T16:18:25Z","language":[{"iso":"eng"}],"author":[{"full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha"},{"full_name":"Teufel, Stefan","last_name":"Teufel","first_name":"Stefan"},{"first_name":"Tom","last_name":"Wessel","full_name":"Wessel, Tom"}],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"pmid":1,"doi":"10.1007/s11005-021-01494-y","article_processing_charge":"No","publication":"Letters in Mathematical Physics","has_accepted_license":"1","ec_funded":1,"article_type":"original","publication_status":"published","isi":1,"intvolume":" 112","date_published":"2022-01-18T00:00:00Z","ddc":["530"],"publisher":"Springer Nature","citation":{"mla":"Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics, vol. 112, no. 1, 9, Springer Nature, 2022, doi:10.1007/s11005-021-01494-y.","apa":"Henheik, S. J., Teufel, S., & Wessel, T. (2022). Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01494-y","ieee":"S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states in locally gapped and weakly interacting quantum spin systems,” Letters in Mathematical Physics, vol. 112, no. 1. Springer Nature, 2022.","ista":"Henheik SJ, Teufel S, Wessel T. 2022. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 112(1), 9.","chicago":"Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-021-01494-y.","short":"S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).","ama":"Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 2022;112(1). doi:10.1007/s11005-021-01494-y"},"oa":1,"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"oa_version":"Published Version","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"file":[{"access_level":"open_access","date_updated":"2022-01-19T09:41:14Z","file_size":357547,"file_name":"2022_LettersMathPhys_Henheik.pdf","content_type":"application/pdf","relation":"main_file","success":1,"date_created":"2022-01-19T09:41:14Z","creator":"cchlebak","checksum":"7e8e69b76e892c305071a4736131fe18","file_id":"10647"}],"scopus_import":"1","arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2106.13780"],"isi":["000744930400001"],"pmid":["35125630"]},"title":"Local stability of ground states in locally gapped and weakly interacting quantum spin systems","status":"public","year":"2022","day":"18","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"text":"Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly gapped on-site terms change the ground state of such a system only locally, even if they close the spectral gap. We call this a strong version of the local perturbations perturb locally (LPPL) principle which is known to hold for much more general gapped systems, but only for perturbations that do not close the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle to Hamiltonians that have the appropriate structure of gapped on-site terms and weak interactions only locally in some region of space. While our results are technically corollaries to a theorem of Yarotsky, we expect that the paradigm of systems with a locally gapped ground state that is completely insensitive to the form of the Hamiltonian elsewhere extends to other situations and has important physical consequences.","lang":"eng"}],"project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"file_date_updated":"2022-01-19T09:41:14Z","type":"journal_article","month":"01","issue":"1","_id":"10642","article_number":"9","acknowledgement":"J. H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond” No. 101020331. S. T. thanks Marius Lemm and Simone Warzel for very helpful comments and discussions and Jürg Fröhlich for references to the literature. Open Access funding enabled and organized by Projekt DEAL.","volume":112,"date_updated":"2026-07-29T13:18:16Z","quality_controlled":"1"},{"_id":"10623","article_number":"3","type":"journal_article","issue":"1","month":"01","quality_controlled":"1","acknowledgement":"I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions.","date_updated":"2026-07-29T13:18:16Z","volume":25,"status":"public","day":"11","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2022","scopus_import":"1","external_id":{"arxiv":["2106.02015"],"isi":["000741387600001"]},"arxiv":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"The BCS critical temperature at high density","project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"abstract":[{"text":"We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.","lang":"eng"}],"file_date_updated":"2022-01-14T07:27:45Z","corr_author":"1","citation":{"ista":"Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3.","chicago":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” Mathematical Physics, Analysis and Geometry. Springer Nature, 2022. https://doi.org/10.1007/s11040-021-09415-0.","short":"S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).","ama":"Henheik SJ. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 2022;25(1). doi:10.1007/s11040-021-09415-0","apa":"Henheik, S. J. (2022). The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. Springer Nature. https://doi.org/10.1007/s11040-021-09415-0","mla":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” Mathematical Physics, Analysis and Geometry, vol. 25, no. 1, 3, Springer Nature, 2022, doi:10.1007/s11040-021-09415-0.","ieee":"S. J. Henheik, “The BCS critical temperature at high density,” Mathematical Physics, Analysis and Geometry, vol. 25, no. 1. Springer Nature, 2022."},"publisher":"Springer Nature","date_published":"2022-01-11T00:00:00Z","ddc":["514"],"publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"oa_version":"Published Version","file":[{"checksum":"d44f8123a52592a75b2c3b8ee2cd2435","success":1,"creator":"cchlebak","date_created":"2022-01-14T07:27:45Z","file_id":"10624","content_type":"application/pdf","relation":"main_file","file_name":"2022_MathPhyAnalGeo_Henheik.pdf","date_updated":"2022-01-14T07:27:45Z","file_size":505804,"access_level":"open_access"}],"oa":1,"language":[{"iso":"eng"}],"author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha"}],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"date_created":"2022-01-13T15:40:53Z","keyword":["geometry and topology","mathematical physics"],"publication_status":"published","article_type":"original","isi":1,"intvolume":" 25","has_accepted_license":"1","publication":"Mathematical Physics, Analysis and Geometry","ec_funded":1,"doi":"10.1007/s11040-021-09415-0","article_processing_charge":"Yes (via OA deal)"},{"article_number":"121101","_id":"12184","issue":"12","month":"12","type":"journal_article","quality_controlled":"1","date_updated":"2026-07-29T13:18:16Z","volume":63,"acknowledgement":"It is a pleasure to thank Stefan Teufel for numerous interesting discussions, fruitful collaboration, and many helpful comments on an earlier version of the manuscript. J.H. acknowledges partial financial support from the ERC Advanced Grant No. 101020331 “Random\r\nmatrices beyond Wigner-Dyson-Mehta.” T.W. acknowledges financial support from the DFG research unit FOR 5413 “Long-range interacting quantum spin systems out of equilibrium: Experiment, Theory and Mathematics.\" ","day":"01","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2022","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","arxiv":1,"external_id":{"arxiv":["2208.12220"],"isi":["000905776200001"]},"title":"On adiabatic theory for extended fermionic lattice systems","scopus_import":"1","file_date_updated":"2023-01-27T07:10:52Z","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020"}],"abstract":[{"lang":"eng","text":"We review recent results on adiabatic theory for ground states of extended gapped fermionic lattice systems under several different assumptions. More precisely, we present generalized super-adiabatic theorems for extended but finite and infinite systems, assuming either a uniform gap or a gap in the bulk above the unperturbed ground state. The goal of this Review is to provide an overview of these adiabatic theorems and briefly outline the main ideas and techniques required in their proofs."}],"citation":{"chicago":"Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0123441.","ista":"Henheik SJ, Wessel T. 2022. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 63(12), 121101.","short":"S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).","ama":"Henheik SJ, Wessel T. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 2022;63(12). doi:10.1063/5.0123441","apa":"Henheik, S. J., & Wessel, T. (2022). On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0123441","mla":"Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” Journal of Mathematical Physics, vol. 63, no. 12, 121101, AIP Publishing, 2022, doi:10.1063/5.0123441.","ieee":"S. J. Henheik and T. Wessel, “On adiabatic theory for extended fermionic lattice systems,” Journal of Mathematical Physics, vol. 63, no. 12. AIP Publishing, 2022."},"publisher":"AIP Publishing","corr_author":"1","date_published":"2022-12-01T00:00:00Z","ddc":["510"],"oa_version":"Published Version","department":[{"_id":"LaEr"}],"file":[{"access_level":"open_access","date_updated":"2023-01-27T07:10:52Z","file_size":5251092,"file_name":"2022_JourMathPhysics_Henheik2.pdf","content_type":"application/pdf","relation":"main_file","checksum":"213b93750080460718c050e4967cfdb4","success":1,"creator":"dernst","date_created":"2023-01-27T07:10:52Z","file_id":"12410"}],"publication_identifier":{"issn":["0022-2488"]},"oa":1,"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"author":[{"first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","orcid":"0000-0003-1106-327X"},{"full_name":"Wessel, Tom","last_name":"Wessel","first_name":"Tom"}],"language":[{"iso":"eng"}],"date_created":"2023-01-15T23:00:52Z","intvolume":" 63","isi":1,"publication_status":"published","article_type":"original","publication":"Journal of Mathematical Physics","has_accepted_license":"1","ec_funded":1,"doi":"10.1063/5.0123441","article_processing_charge":"No"},{"date_created":"2024-05-29T06:38:26Z","related_material":{"record":[{"status":"public","id":"17485","relation":"dissertation_contains"}]},"author":[{"full_name":"Frantar, Elias","last_name":"Frantar","id":"09a8f98d-ec99-11ea-ae11-c063a7b7fe5f","first_name":"Elias"},{"id":"DD138E24-D89D-11E9-9DC0-DEF6E5697425","last_name":"Singh","full_name":"Singh, Sidak Pal","first_name":"Sidak Pal"},{"last_name":"Alistarh","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3650-940X","full_name":"Alistarh, Dan-Adrian","first_name":"Dan-Adrian"}],"language":[{"iso":"eng"}],"publication":"36th Conference on Neural Information Processing Systems","ec_funded":1,"has_accepted_license":"1","article_processing_charge":"No","intvolume":" 35","publication_status":"published","ddc":["000"],"date_published":"2022-12-01T00:00:00Z","citation":{"ieee":"E. Frantar, S. P. Singh, and D.-A. Alistarh, “Optimal brain compression: A framework for accurate post-training quantization and pruning,” in 36th Conference on Neural Information Processing Systems, New Orleans, LA, United States, 2022, vol. 35.","apa":"Frantar, E., Singh, S. P., & Alistarh, D.-A. (2022). Optimal brain compression: A framework for accurate post-training quantization and pruning. In 36th Conference on Neural Information Processing Systems (Vol. 35). New Orleans, LA, United States: ML Research Press.","mla":"Frantar, Elias, et al. “Optimal Brain Compression: A Framework for Accurate Post-Training Quantization and Pruning.” 36th Conference on Neural Information Processing Systems, vol. 35, ML Research Press, 2022.","ama":"Frantar E, Singh SP, Alistarh D-A. Optimal brain compression: A framework for accurate post-training quantization and pruning. In: 36th Conference on Neural Information Processing Systems. Vol 35. ML Research Press; 2022.","chicago":"Frantar, Elias, Sidak Pal Singh, and Dan-Adrian Alistarh. “Optimal Brain Compression: A Framework for Accurate Post-Training Quantization and Pruning.” In 36th Conference on Neural Information Processing Systems, Vol. 35. ML Research Press, 2022.","short":"E. Frantar, S.P. Singh, D.-A. Alistarh, in:, 36th Conference on Neural Information Processing Systems, ML Research Press, 2022.","ista":"Frantar E, Singh SP, Alistarh D-A. 2022. Optimal brain compression: A framework for accurate post-training quantization and pruning. 36th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, NeurIPS, vol. 35."},"publisher":"ML Research Press","corr_author":"1","oa":1,"conference":{"end_date":"2022-12-09","start_date":"2022-11-28","name":"NeurIPS: Neural Information Processing Systems","location":"New Orleans, LA, United States"},"oa_version":"Submitted Version","department":[{"_id":"DaAl"}],"file":[{"file_name":"2022_NeurIPS_Frantar.pdf","content_type":"application/pdf","relation":"main_file","date_created":"2024-08-05T09:25:39Z","checksum":"38e7d75f578e8d2e207c81895e09f211","success":1,"creator":"dernst","file_id":"17391","access_level":"open_access","date_updated":"2024-08-05T09:25:39Z","file_size":491843}],"publication_identifier":{"isbn":["9781713871088"]},"title":"Optimal brain compression: A framework for accurate post-training quantization and pruning","arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2208.11580"]},"scopus_import":"1","day":"01","year":"2022","status":"public","file_date_updated":"2024-08-05T09:25:39Z","project":[{"call_identifier":"H2020","name":"Elastic Coordination for Scalable Machine Learning","grant_number":"805223","_id":"268A44D6-B435-11E9-9278-68D0E5697425"}],"abstract":[{"text":"We consider the problem of model compression for deep neural networks (DNNs) in the challenging one-shot/post-training setting, in which we are given an accurate trained model, and must compress it without any retraining, based only on a small amount of calibration input data. This problem has become popular in view of the emerging software and hardware support for executing models compressed via pruning and/or quantization with speedup, and well-performing solutions have been proposed independently for both compression approaches.In this paper, we introduce a new compression framework which covers both weight pruning and quantization in a unified setting, is time- and space-efficient, and considerably improves upon the practical performance of existing post-training methods. At the technical level, our approach is based on an exact and efficient realization of the classical Optimal Brain Surgeon (OBS) framework of [LeCun, Denker, and Solla, 1990] extended to also cover weight quantization at the scale of modern DNNs. From the practical perspective, our experimental results show that it can improve significantly upon the compression-accuracy trade-offs of existing post-training methods, and that it can enable the accurate compound application of both pruning and quantization in a post-training setting.","lang":"eng"}],"alternative_title":["NeurIPS"],"month":"12","type":"conference","_id":"17087","volume":35,"date_updated":"2026-07-29T13:48:39Z","acknowledgement":"We gratefully acknowledge funding from the European Research Council (ERC) under the European Union’s Horizon 2020 programme (grant agreement No 805223 ScaleML), as well as computational support from AWS EC2. We thank Eldar Kurtic for providing us BERT code and pretrained models, and the Neural Magic Team, notably Michael Goin and Mark Kurtz, for support with their software. ","quality_controlled":"1"},{"type":"journal_article","month":"10","issue":"4","_id":"12286","article_number":"P4.13","acknowledgement":"Supported by Austrian Science Fund (FWF): I3747, W1230.","date_updated":"2026-08-04T09:29:03Z","volume":29,"quality_controlled":"1","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"isi":["000876763300001"]},"title":"Loose cores and cycles in random hypergraphs","status":"public","year":"2022","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","short":"CC BY-ND (4.0)","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","image":"/image/cc_by_nd.png"},"day":"21","abstract":[{"lang":"eng","text":"Inspired by the study of loose cycles in hypergraphs, we define the loose core in hypergraphs as a structurewhich mirrors the close relationship between cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random hypergraph $H^r(n,p)$, the order of the loose core undergoes a phase transition at a certain critical threshold and determine this order, as well as the number of edges, asymptotically in the subcritical and supercritical regimes.
\r\nOur main tool is an algorithm called CoreConstruct, which enables us to analyse a peeling process for the loose core. By analysing this algorithm we determine the asymptotic degree distribution of vertices in the loose core and in particular how many vertices and edges the loose core contains. As a corollary we obtain an improved upper bound on the length of the longest loose cycle in $H^r(n,p)$."}],"file_date_updated":"2023-01-30T11:45:13Z","ddc":["510"],"date_published":"2022-10-21T00:00:00Z","publisher":"Electronic Journal of Combinatorics","citation":{"mla":"Cooley, Oliver, et al. “Loose Cores and Cycles in Random Hypergraphs.” The Electronic Journal of Combinatorics, vol. 29, no. 4, P4.13, Electronic Journal of Combinatorics, 2022, doi:10.37236/10794.","apa":"Cooley, O., Kang, M., & Zalla, J. (2022). Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. Electronic Journal of Combinatorics. https://doi.org/10.37236/10794","ieee":"O. Cooley, M. Kang, and J. Zalla, “Loose cores and cycles in random hypergraphs,” The Electronic Journal of Combinatorics, vol. 29, no. 4. Electronic Journal of Combinatorics, 2022.","ista":"Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 29(4), P4.13.","short":"O. Cooley, M. Kang, J. Zalla, The Electronic Journal of Combinatorics 29 (2022).","chicago":"Cooley, Oliver, Mihyun Kang, and Julian Zalla. “Loose Cores and Cycles in Random Hypergraphs.” The Electronic Journal of Combinatorics. Electronic Journal of Combinatorics, 2022. https://doi.org/10.37236/10794.","ama":"Cooley O, Kang M, Zalla J. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 2022;29(4). doi:10.37236/10794"},"oa":1,"publication_identifier":{"eissn":["1077-8926"]},"department":[{"_id":"MaKw"}],"oa_version":"Published Version","file":[{"file_name":"2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf","content_type":"application/pdf","relation":"main_file","creator":"dernst","checksum":"00122b2459f09b5ae43073bfba565e94","date_created":"2023-01-30T11:45:13Z","success":1,"file_id":"12462","access_level":"open_access","date_updated":"2023-01-30T11:45:13Z","file_size":626953}],"keyword":["Computational Theory and Mathematics","Geometry and Topology","Theoretical Computer Science","Applied Mathematics","Discrete Mathematics and Combinatorics"],"date_created":"2023-01-16T10:03:57Z","author":[{"full_name":"Cooley, Oliver","last_name":"Cooley","id":"43f4ddd0-a46b-11ec-8df6-ef3703bd721d","first_name":"Oliver"},{"last_name":"Kang","full_name":"Kang, Mihyun","first_name":"Mihyun"},{"first_name":"Julian","last_name":"Zalla","full_name":"Zalla, Julian"}],"language":[{"iso":"eng"}],"article_processing_charge":"No","doi":"10.37236/10794","has_accepted_license":"1","publication":"The Electronic Journal of Combinatorics","article_type":"original","publication_status":"published","isi":1,"intvolume":" 29"},{"supplementarymaterial":"no","date_created":"2022-02-20T23:01:30Z","author":[{"first_name":"Yang","full_name":"Cao, Yang","last_name":"Cao"},{"full_name":"Huang, Zhizhong","last_name":"Huang","id":"21f1b52f-2fd1-11eb-a347-a4cdb9b18a51","first_name":"Zhizhong"}],"language":[{"iso":"eng"}],"publication":"Advances in Mathematics","article_processing_charge":"No","doi":"10.1016/j.aim.2022.108236","das_tickbox":"0","publication_status":"published","article_type":"original","intvolume":" 398","isi":1,"main_file_link":[{"url":"https://arxiv.org/abs/2003.07287","open_access":"1"}],"date_published":"2022-03-26T00:00:00Z","corr_author":"1","citation":{"mla":"Cao, Yang, and Zhizhong Huang. “Arithmetic Purity of the Hardy-Littlewood Property and Geometric Sieve for Affine Quadrics.” Advances in Mathematics, vol. 398, no. 3, 108236, Elsevier, 2022, doi:10.1016/j.aim.2022.108236.","apa":"Cao, Y., & Huang, Z. (2022). Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2022.108236","ieee":"Y. Cao and Z. Huang, “Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics,” Advances in Mathematics, vol. 398, no. 3. Elsevier, 2022.","short":"Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).","ista":"Cao Y, Huang Z. 2022. Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. Advances in Mathematics. 398(3), 108236.","chicago":"Cao, Yang, and Zhizhong Huang. “Arithmetic Purity of the Hardy-Littlewood Property and Geometric Sieve for Affine Quadrics.” Advances in Mathematics. Elsevier, 2022. https://doi.org/10.1016/j.aim.2022.108236.","ama":"Cao Y, Huang Z. Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. Advances in Mathematics. 2022;398(3). doi:10.1016/j.aim.2022.108236"},"researchdata_availability":"no","publisher":"Elsevier","oa":1,"publication_identifier":{"eissn":["1090-2082"],"issn":["0001-8708"]},"department":[{"_id":"TiBr"}],"oa_version":"Preprint","scopus_import":"1","arxiv":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics","external_id":{"arxiv":["2003.07287"],"isi":["000792517300014"]},"status":"public","day":"26","year":"2022","abstract":[{"text":"We establish the Hardy-Littlewood property (à la Borovoi-Rudnick) for Zariski open subsets in affine quadrics of the form q(x1,...,xn)=m, where q is a non-degenerate integral quadratic form in n>3 variables and m is a non-zero integer. This gives asymptotic formulas for the density of integral points taking coprime polynomial values, which is a quantitative version of the arithmetic purity of strong approximation property off infinity for affine quadrics.","lang":"eng"}],"type":"journal_article","issue":"3","month":"03","_id":"10765","article_number":"108236","acknowledgement":"We are grateful to Mikhail Borovoi, Zeev Rudnick and Olivier Wienberg for their interest in our\r\nwork. We would like to address our gratitude to Ulrich Derenthal for his generous support at Leibniz Universitat Hannover. We are in debt to Tim Browning for an enlightening discussion and to the anonymous referees for critical comments, which lead to overall improvements of various preliminary versions of this paper. Part of this work was carried out and reported during a visit to the University of Science and Technology of China. We thank Yongqi Liang for offering warm hospitality. The first author was supported by a Humboldt-Forschungsstipendium. The second author was supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft.","date_updated":"2026-08-06T10:29:39Z","volume":398,"quality_controlled":"1"},{"publication_status":"submitted","das_tickbox":"0","publication":"arXiv","article_processing_charge":"No","doi":"10.48550/arXiv.2202.10909","language":[{"iso":"eng"}],"author":[{"first_name":"Florian Alexander","full_name":"Wilsch, Florian Alexander","orcid":"0000-0001-7302-8256","id":"560601DA-8D36-11E9-A136-7AC1E5697425","last_name":"Wilsch"}],"supplementarymaterial":"no","date_created":"2022-02-23T09:04:43Z","keyword":["Integral point","toric variety","Manin's conjecture"],"oa_version":"Preprint","department":[{"_id":"TiBr"}],"oa":1,"corr_author":"1","researchdata_availability":"no","citation":{"ista":"Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv, 2202.10909.","short":"F.A. Wilsch, ArXiv (n.d.).","chicago":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2202.10909.","ama":"Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv. doi:10.48550/arXiv.2202.10909","mla":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, 2202.10909, doi:10.48550/arXiv.2202.10909.","apa":"Wilsch, F. A. (n.d.). Integral points of bounded height on a certain toric variety. arXiv. https://doi.org/10.48550/arXiv.2202.10909","ieee":"F. A. Wilsch, “Integral points of bounded height on a certain toric variety,” arXiv. ."},"date_published":"2022-02-22T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2202.10909"}],"project":[{"call_identifier":"FWF","name":"New frontiers of the Manin conjecture","grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425"}],"abstract":[{"text":"We determine an asymptotic formula for the number of integral points of\r\nbounded height on a certain toric variety, which is incompatible with part of a\r\npreprint by Chambert-Loir and Tschinkel. We provide an alternative\r\ninterpretation of the asymptotic formula we get. To do so, we construct an\r\nanalogue of Peyre's constant $\\alpha$ and describe its relation to a new\r\nobstruction to the Zariski density of integral points in certain regions of\r\nvarieties.","lang":"eng"}],"status":"public","day":"22","year":"2022","external_id":{"arxiv":["2202.10909"]},"title":"Integral points of bounded height on a certain toric variety","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","arxiv":1,"acknowledgement":"Part of this work was conducted as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.\r\nDuring this time, I had interesting and fruitful discussions on the interpretation of the result for\r\nthe toric variety discussed in Section 3 with Antoine Chambert-Loir. I wish to thank him for these\r\nopportunities and for his useful remarks on earlier versions of this article. This work was partly\r\nfunded by FWF grant P 32428-N35.","date_updated":"2026-08-06T10:31:31Z","_id":"10788","article_number":"2202.10909","type":"preprint","month":"02"},{"article_number":"2208.05422","_id":"18293","month":"08","type":"preprint","date_updated":"2026-08-06T10:33:33Z","OA_place":"repository","year":"2022","day":"10","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","arxiv":1,"title":"On a question of Davenport and diagonal cubic forms over Fq(t)","external_id":{"arxiv":["2208.05422"]},"abstract":[{"lang":"eng","text":"Given a non-singular diagonal cubic hypersurface X⊂Pn−1 over Fq(t) with char(Fq)≠3, we show that the number of rational points of height at most |P| is O(|P|3+ε) for n=6 and O(|P|2+ε) for n=4. In fact, if n=4 and char(Fq)>3 we prove that the number of rational points away from any rational line contained in X is bounded by O(|P|3/2+ε). From the result in 6 variables we deduce weak approximation for diagonal cubic hypersurfaces for n≥7 over Fq(t) when char(Fq)>3 and handle Waring's problem for cubes in 7 variables over Fq(t) when char(Fq)≠3. Our results answer a question of Davenport regarding the number of solutions of bounded height to x31+x32+x33=x34+x35+x36 with xi∈Fq[t]."}],"researchdata_availability":"no","citation":{"chicago":"Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” ArXiv, n.d. https://doi.org/10.48550/arXiv.2208.05422.","short":"J. Glas, L. Hochfilzer, ArXiv (n.d.).","ista":"Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms over Fq(t). arXiv, 2208.05422.","ama":"Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms over Fq(t). arXiv. doi:10.48550/arXiv.2208.05422","apa":"Glas, J., & Hochfilzer, L. (n.d.). On a question of Davenport and diagonal cubic forms over Fq(t). arXiv. https://doi.org/10.48550/arXiv.2208.05422","mla":"Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” ArXiv, 2208.05422, doi:10.48550/arXiv.2208.05422.","ieee":"J. Glas and L. Hochfilzer, “On a question of Davenport and diagonal cubic forms over Fq(t),” arXiv. ."},"corr_author":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2208.05422"}],"date_published":"2022-08-10T00:00:00Z","department":[{"_id":"TiBr"}],"oa_version":"Preprint","oa":1,"related_material":{"record":[{"id":"18705","relation":"later_version","status":"public"},{"status":"public","relation":"dissertation_contains","id":"18132"}]},"author":[{"full_name":"Glas, Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","last_name":"Glas","first_name":"Jakob"},{"full_name":"Hochfilzer, Leonhard","last_name":"Hochfilzer","first_name":"Leonhard"}],"language":[{"iso":"eng"}],"date_created":"2024-10-10T12:46:41Z","supplementarymaterial":"no","publication_status":"draft","das_tickbox":"0","doi":"10.48550/arXiv.2208.05422","article_processing_charge":"No","publication":"arXiv"},{"corr_author":"1","researchdata_availability":"no","citation":{"ama":"Shute AL. Existence and density problems in Diophantine geometry: From norm forms to Campana points. 2022. doi:10.15479/at:ista:12072","chicago":"Shute, Alec L. “Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12072.","short":"A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.","ista":"Shute AL. 2022. Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria.","ieee":"A. L. Shute, “Existence and density problems in Diophantine geometry: From norm forms to Campana points,” Institute of Science and Technology Austria, 2022.","mla":"Shute, Alec L. Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12072.","apa":"Shute, A. L. (2022). Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12072"},"publisher":"Institute of Science and Technology Austria","date_published":"2022-09-08T00:00:00Z","ddc":["512"],"publication_identifier":{"isbn":["978-3-99078-023-7"],"issn":["2663-337X"]},"department":[{"_id":"GradSch"},{"_id":"TiBr"}],"file":[{"access_level":"open_access","date_updated":"2022-09-08T21:50:34Z","file_size":1907386,"file_name":"Thesis_final_draft.pdf","content_type":"application/pdf","relation":"main_file","date_created":"2022-09-08T21:50:34Z","success":1,"checksum":"bf073344320e05d92c224786cec2e92d","creator":"ashute","file_id":"12073"},{"access_level":"closed","date_updated":"2022-09-12T11:24:21Z","file_size":495393,"file_name":"athesis.tex","content_type":"application/octet-stream","relation":"source_file","checksum":"b054ac6baa09f70e8235403a4abbed80","date_created":"2022-09-08T21:50:42Z","creator":"ashute","file_id":"12074"},{"access_level":"closed","date_updated":"2022-09-12T11:24:21Z","file_size":944534,"file_name":"qfcjsfmtvtbfrjjvhdzrnqxfvgjvxtbf.zip","content_type":"application/x-zip-compressed","relation":"source_file","checksum":"0a31e905f1cff5eb8110978cc90e1e79","date_created":"2022-09-09T12:05:00Z","creator":"ashute","file_id":"12078"}],"oa_version":"Published Version","oa":1,"author":[{"last_name":"Shute","orcid":"0000-0002-1812-2810","id":"440EB050-F248-11E8-B48F-1D18A9856A87","full_name":"Shute, Alec L","first_name":"Alec L"}],"language":[{"iso":"eng"}],"related_material":{"record":[{"status":"public","id":"12076","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"12077","status":"public"}]},"supplementarymaterial":"no","date_created":"2022-09-08T21:53:03Z","das_tickbox":"0","publication_status":"published","has_accepted_license":"1","ec_funded":1,"doi":"10.15479/at:ista:12072","article_processing_charge":"No","_id":"12072","type":"dissertation","alternative_title":["ISTA Thesis"],"month":"09","degree_awarded":"PhD","supervisor":[{"first_name":"Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","full_name":"Browning, Timothy D"}],"acknowledgement":"I acknowledge the received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska Curie Grant Agreement No. 665385.","OA_place":"publisher","date_updated":"2026-08-06T11:09:27Z","status":"public","doi_confirm":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","short":"CC BY-NC-SA (4.0)","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png"},"day":"08","year":"2022","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","title":"Existence and density problems in Diophantine geometry: From norm forms to Campana points","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","project":[{"name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"abstract":[{"text":"In this thesis, we study two of the most important questions in Arithmetic geometry: that of the existence and density of solutions to Diophantine equations. In order for a Diophantine equation to have any solutions over the rational numbers, it must have solutions everywhere locally, i.e., over R and over Qp for every prime p. The converse, called the Hasse principle, is known to fail in general. However, it is still a central question in Arithmetic geometry to determine for which varieties the Hasse principle does hold. In this work, we establish the Hasse principle for a wide new family of varieties of the form f(t) = NK/Q(x) ̸= 0, where f is a polynomial with integer coefficients and NK/Q denotes the norm\r\nform associated to a number field K. Our results cover products of arbitrarily many linear, quadratic or cubic factors, and generalise an argument of Irving [69], which makes use of the beta sieve of Rosser and Iwaniec. We also demonstrate how our main sieve results can be applied to treat new cases of a conjecture of Harpaz and Wittenberg on locally split values of polynomials over number fields, and discuss consequences for rational points in fibrations.\r\nIn the second question, about the density of solutions, one defines a height function and seeks to estimate asymptotically the number of points of height bounded by B as B → ∞. Traditionally, one either counts rational points, or\r\nintegral points with respect to a suitable model. However, in this thesis, we study an emerging area of interest in Arithmetic geometry known as Campana points, which in some sense interpolate between rational and integral points.\r\nMore precisely, we count the number of nonzero integers z1, z2, z3 such that gcd(z1, z2, z3) = 1, and z1, z2, z3, z1 + z2 + z3 are all squareful and bounded by B. Using the circle method, we obtain an asymptotic formula which agrees in\r\nthe power of B and log B with a bold new generalisation of Manin’s conjecture to the setting of Campana points, recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado [96]. However, in this thesis we also provide the first known counterexamples to leading constant predicted by their conjecture. ","lang":"eng"}],"file_date_updated":"2022-09-12T11:24:21Z","page":"208"},{"oa":1,"file":[{"relation":"main_file","content_type":"application/pdf","file_id":"10395","creator":"cchlebak","checksum":"614d2e9b83a78100408e4ee7752a80a8","date_created":"2021-12-01T14:01:54Z","success":1,"file_name":"2021_MathProcCamPhilSoc_Bonolis.pdf","access_level":"open_access","file_size":334064,"date_updated":"2021-12-01T14:01:54Z"}],"department":[{"_id":"TiBr"}],"oa_version":"Published Version","publication_identifier":{"eissn":["1469-8064"],"issn":["0305-0041"]},"ddc":["510"],"date_published":"2022-05-01T00:00:00Z","publisher":"Cambridge University Press","researchdata_availability":"no","citation":{"ama":"Bonolis D. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 2022;172(3):563-590. doi:10.1017/S030500412100030X","chicago":"Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 2022. https://doi.org/10.1017/S030500412100030X.","short":"D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.","ista":"Bonolis D. 2022. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 172(3), 563–590.","ieee":"D. Bonolis, “On the size of the maximum of incomplete Kloosterman sums,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3. Cambridge University Press, pp. 563–590, 2022.","mla":"Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3, Cambridge University Press, 2022, pp. 563–90, doi:10.1017/S030500412100030X.","apa":"Bonolis, D. (2022). On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S030500412100030X"},"article_processing_charge":"Yes (via OA deal)","doi":"10.1017/S030500412100030X","publication":"Mathematical Proceedings of the Cambridge Philosophical Society","has_accepted_license":"1","intvolume":" 172","isi":1,"article_type":"original","das_tickbox":"0","publication_status":"published","date_created":"2021-05-02T22:01:29Z","supplementarymaterial":"no","language":[{"iso":"eng"}],"author":[{"first_name":"Dante","full_name":"Bonolis, Dante","last_name":"Bonolis","id":"6A459894-5FDD-11E9-AF35-BB24E6697425"}],"date_updated":"2026-08-06T11:08:12Z","volume":172,"acknowledgement":"I am most thankful to my advisor, Emmanuel Kowalski, for suggesting this problem and for his guidance during these years. I also would like to thank Youness Lamzouri for informing me about his work on sum of incomplete Birch sums and Tal Horesh for her suggestions on a previous version of the paper. Finally, I am very grateful to the anonymous referee for their careful reading of the manuscript and their valuable comments.","quality_controlled":"1","month":"05","issue":"3","type":"journal_article","_id":"9364","file_date_updated":"2021-12-01T14:01:54Z","page":"563 - 590","abstract":[{"text":"Let t : Fp → C be a complex valued function on Fp. A classical problem in analytic number theory is bounding the maximum M(t) := max 0≤H 0 there exists a large subset of a ∈ F×p such that for kl a,1,p : x → e((ax+x) / p) we have M(kla,1,p) ≥ (1−ε/√2π + o(1)) log log p, as p→∞. Finally, we prove a result on the growth of the moments of {M (kla,1,p)}a∈F×p. 2020 Mathematics Subject Classification: 11L03, 11T23 (Primary); 14F20, 60F10 (Secondary).","lang":"eng"}],"arxiv":1,"title":"On the size of the maximum of incomplete Kloosterman sums","external_id":{"isi":["000784421500001"],"arxiv":["1811.10563"]},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","scopus_import":"1","year":"2022","day":"01","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"status":"public"},{"_id":"9199","month":"12","issue":"10","type":"journal_article","quality_controlled":"1","date_updated":"2026-08-06T11:07:27Z","volume":16,"acknowledgement":"The authors are very grateful to Will Sawin for useful remarks about this topic. While working on this paper the first two authors were supported by EPSRC grant EP/P026710/1, and the first and last authors by FWF grant P 32428-N35.","year":"2022","day":"01","status":"public","external_id":{"arxiv":["2102.11552"],"isi":["000961514100004"]},"title":"Equidistribution and freeness on Grassmannians","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","arxiv":1,"scopus_import":"1","page":"2385-2407","abstract":[{"text":"We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians and their study is motivated by Peyre's programme on \"freeness\" for rational points of bounded height on Fano\r\nvarieties.","lang":"eng"}],"project":[{"grant_number":"EP-P026710-2","name":"Between rational and integral points","_id":"26A8D266-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","grant_number":"P32428","name":"New frontiers of the Manin conjecture","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425"}],"publisher":"Mathematical Sciences Publishers","researchdata_availability":"no","citation":{"ama":"Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 2022;16(10):2385-2407. doi:10.2140/ant.2022.16.2385","ista":"Browning TD, Horesh T, Wilsch FA. 2022. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 16(10), 2385–2407.","chicago":"Browning, Timothy D, Tal Horesh, and Florian Alexander Wilsch. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory. Mathematical Sciences Publishers, 2022. https://doi.org/10.2140/ant.2022.16.2385.","short":"T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407.","ieee":"T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” Algebra & Number Theory, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022.","apa":"Browning, T. D., Horesh, T., & Wilsch, F. A. (2022). Equidistribution and freeness on Grassmannians. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2022.16.2385","mla":"Browning, Timothy D., et al. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory, vol. 16, no. 10, Mathematical Sciences Publishers, 2022, pp. 2385–407, doi:10.2140/ant.2022.16.2385."},"corr_author":"1","date_published":"2022-12-01T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2102.11552"}],"oa_version":"Preprint","department":[{"_id":"TiBr"}],"publication_identifier":{"eissn":["1944-7833"],"issn":["1937-0652"]},"oa":1,"author":[{"first_name":"Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","full_name":"Browning, Timothy D"},{"first_name":"Tal","last_name":"Horesh","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","full_name":"Horesh, Tal"},{"id":"560601DA-8D36-11E9-A136-7AC1E5697425","last_name":"Wilsch","orcid":"0000-0001-7302-8256","full_name":"Wilsch, Florian Alexander","first_name":"Florian Alexander"}],"language":[{"iso":"eng"}],"date_created":"2021-02-25T09:56:57Z","supplementarymaterial":"no","isi":1,"intvolume":" 16","article_type":"original","das_tickbox":"0","publication_status":"published","doi":"10.2140/ant.2022.16.2385","article_processing_charge":"No","publication":"Algebra & Number Theory"},{"status":"public","year":"2022","day":"22","scopus_import":"1","title":"On the leading constant in the Manin-type conjecture for Campana points","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","arxiv":1,"external_id":{"arxiv":["2104.14946"],"isi":["000844789100001"]},"abstract":[{"lang":"eng","text":"We compare the Manin-type conjecture for Campana points recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado with an alternative prediction of Browning and Van Valckenborgh in the special case of the orbifold (P1,D), where D=1/2[0]+1/2[1]+1/2[∞]. We find that the two predicted leading constants do not agree, and we discuss whether thin sets could explain this discrepancy. Motivated by this, we provide a counterexample to the Manin-type conjecture for Campana points, by considering orbifolds corresponding to squareful values of binary quadratic forms."}],"page":"317-346","_id":"17058","type":"journal_article","month":"08","issue":"4","quality_controlled":"1","volume":204,"date_updated":"2026-08-06T11:09:27Z","language":[{"iso":"eng"}],"author":[{"full_name":"Shute, Alec L","last_name":"Shute","orcid":"0000-0002-1812-2810","id":"440EB050-F248-11E8-B48F-1D18A9856A87","first_name":"Alec L"}],"related_material":{"record":[{"status":"public","relation":"earlier_version","id":"12077"}]},"supplementarymaterial":"no","date_created":"2024-05-28T13:39:26Z","article_type":"original","das_tickbox":"0","publication_status":"published","intvolume":" 204","isi":1,"article_processing_charge":"No","doi":"10.4064/aa210430-1-7","publication":"Acta Arithmetica","corr_author":"1","publisher":"Institute of Mathematics","citation":{"ama":"Shute AL. On the leading constant in the Manin-type conjecture for Campana points. Acta Arithmetica. 2022;204(4):317-346. doi:10.4064/aa210430-1-7","ista":"Shute AL. 2022. On the leading constant in the Manin-type conjecture for Campana points. Acta Arithmetica. 204(4), 317–346.","chicago":"Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana Points.” Acta Arithmetica. Institute of Mathematics, 2022. https://doi.org/10.4064/aa210430-1-7.","short":"A.L. Shute, Acta Arithmetica 204 (2022) 317–346.","ieee":"A. L. Shute, “On the leading constant in the Manin-type conjecture for Campana points,” Acta Arithmetica, vol. 204, no. 4. Institute of Mathematics, pp. 317–346, 2022.","apa":"Shute, A. L. (2022). On the leading constant in the Manin-type conjecture for Campana points. Acta Arithmetica. Institute of Mathematics. https://doi.org/10.4064/aa210430-1-7","mla":"Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana Points.” Acta Arithmetica, vol. 204, no. 4, Institute of Mathematics, 2022, pp. 317–46, doi:10.4064/aa210430-1-7."},"researchdata_availability":"no","date_published":"2022-08-22T00:00:00Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2104.14946","open_access":"1"}],"publication_identifier":{"issn":["0065-1036"],"eissn":["1730-6264"]},"oa_version":"Preprint","department":[{"_id":"TiBr"}],"oa":1},{"das_tickbox":"1","publication_status":"published","article_type":"original","isi":1,"intvolume":" 156","publication":"The Journal of chemical physics","doi":"10.1063/5.0079844","article_processing_charge":"No","author":[{"first_name":"Jacob G.","full_name":"Lee, Jacob G.","last_name":"Lee"},{"first_name":"Chris J.","last_name":"Pickard","full_name":"Pickard, Chris J."},{"first_name":"Bingqing","id":"cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9","last_name":"Cheng","orcid":"0000-0002-3584-9632","full_name":"Cheng, Bingqing"}],"language":[{"iso":"eng"}],"pmid":1,"supplementarymaterial":"yes","date_created":"2022-03-06T23:01:53Z","publication_identifier":{"eissn":["1089-7690"]},"department":[{"_id":"BiCh"}],"oa_version":"Preprint","oa":1,"corr_author":"1","researchdata_availability":"yes","citation":{"mla":"Lee, Jacob G., et al. “High-Pressure Phase Behaviors of Titanium Dioxide Revealed by a Δ-Learning Potential.” The Journal of Chemical Physics, vol. 156, no. 7, 074106, AIP Publishing, 2022, doi:10.1063/5.0079844.","apa":"Lee, J. G., Pickard, C. J., & Cheng, B. (2022). High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/5.0079844","ieee":"J. G. Lee, C. J. Pickard, and B. Cheng, “High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential,” The Journal of chemical physics, vol. 156, no. 7. AIP Publishing, 2022.","short":"J.G. Lee, C.J. Pickard, B. Cheng, The Journal of Chemical Physics 156 (2022).","chicago":"Lee, Jacob G., Chris J. Pickard, and Bingqing Cheng. “High-Pressure Phase Behaviors of Titanium Dioxide Revealed by a Δ-Learning Potential.” The Journal of Chemical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0079844.","ista":"Lee JG, Pickard CJ, Cheng B. 2022. High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of chemical physics. 156(7), 074106.","ama":"Lee JG, Pickard CJ, Cheng B. High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of chemical physics. 2022;156(7). doi:10.1063/5.0079844"},"publisher":"AIP Publishing","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2111.12968"}],"date_published":"2022-02-16T00:00:00Z","abstract":[{"lang":"eng","text":"Titanium dioxide has been extensively studied in the rutile or anatase phase, while its high-pressure phases are less well-understood, despite that many are thought to have interesting optical, mechanical, and electrochemical properties. First-principles methods, such as density functional theory (DFT), are often used to compute the enthalpies of TiO2 phases at 0 K, but they are expensive and, thus, impractical for long time scale and large system-size simulations at finite temperatures. On the other hand, cheap empirical potentials fail to capture the relative stabilities of various polymorphs. To model the thermodynamic behaviors of ambient and high-pressure phases of TiO2, we design an empirical model as a baseline and then train a machine learning potential based on the difference between the DFT data and the empirical model. This so-called Δ-learning potential contains long-range electrostatic interactions and predicts the 0 K enthalpies of stable TiO2 phases that are in good agreement with DFT. We construct a pressure–temperature phase diagram of TiO2 in the range 0 < P < 70 GPa and 100 < T < 1500 K. We then simulate dynamic phase transition processes by compressing anatase at different temperatures. At 300 K, we predominantly observe an anatase-to-baddeleyite transformation at about 20 GPa via a martensitic two-step mechanism with a highly ordered and collective atomic motion. At 2000 K, anatase can transform into cotunnite around 45–55 GPa in a thermally activated and probabilistic manner, accompanied by diffusive movement of oxygen atoms. The pressures computed for these transitions show good agreement with experiments. Our results shed light on how to synthesize and stabilize high-pressure TiO2 phases, and our method is generally applicable to other functional materials with multiple polymorphs."}],"status":"public","day":"16","year":"2022","scopus_import":"1","dataavailabilitystatement":"All original data generated for the study and the Δ-learning potential for TiO2 constructed in this study are in the SI repository at https://github.com/jacobglee1/tio2-mlp.","title":"High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","arxiv":1,"external_id":{"isi":["000796704500014"],"pmid":["35183078"],"arxiv":["2111.12968"]},"quality_controlled":"1","acknowledgement":"J.G.L. and B.C. acknowledge the resources provided by the Cambridge Tier-2 system operated by the University of Cambridge Research Computing Service funded by the EPSRC Tier-2 capital (Grant No. EP/P020259/1).","volume":156,"date_updated":"2026-08-07T11:17:03Z","_id":"10827","article_number":"074106","type":"journal_article","issue":"7","month":"02"},{"_id":"12128","article_number":"040501","type":"journal_article","issue":"4","month":"11","quality_controlled":"1","acknowledgement":"C P acknowledges funding from Astex through the Sustaining Innovation Program under the Milner Consortium. B C acknowledges resources provided by the Cambridge Tier-2 system operated by the University of Cambridge Research Computing Service funded by EPSRC Tier-2 capital Grant EP/P020259/1. F A F acknowledges funding from the Swiss National Science Foundation (Grant No. P2BSP2_191736). ","volume":3,"date_updated":"2026-08-07T11:19:31Z","status":"public","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"17","year":"2022","scopus_import":"1","dataavailabilitystatement":"The datasets used for this study are available at https://github.com/BingqingCheng/linear-regression-benchmarks. All data that support the findings of this study are included within the article (and any supplementary files).","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","external_id":{"isi":["000886534000001"]},"title":"BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale","abstract":[{"lang":"eng","text":"We introduce a machine-learning (ML) framework for high-throughput benchmarking of diverse representations of chemical systems against datasets of materials and molecules. The guiding principle underlying the benchmarking approach is to evaluate raw descriptor performance by limiting model complexity to simple regression schemes while enforcing best ML practices, allowing for unbiased hyperparameter optimization, and assessing learning progress through learning curves along series of synchronized train-test splits. The resulting models are intended as baselines that can inform future method development, in addition to indicating how easily a given dataset can be learnt. Through a comparative analysis of the training outcome across a diverse set of physicochemical, topological and geometric representations, we glean insight into the relative merits of these representations as well as their interrelatedness."}],"file_date_updated":"2023-01-23T10:42:04Z","corr_author":"1","researchdata_availability":"yes","citation":{"apa":"Poelking, C., Faber, F. A., & Cheng, B. (2022). BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale. Machine Learning: Science and Technology. IOP Publishing. https://doi.org/10.1088/2632-2153/ac4d11","mla":"Poelking, Carl, et al. “BenchML: An Extensible Pipelining Framework for Benchmarking Representations of Materials and Molecules at Scale.” Machine Learning: Science and Technology, vol. 3, no. 4, 040501, IOP Publishing, 2022, doi:10.1088/2632-2153/ac4d11.","ieee":"C. Poelking, F. A. Faber, and B. Cheng, “BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale,” Machine Learning: Science and Technology, vol. 3, no. 4. IOP Publishing, 2022.","chicago":"Poelking, Carl, Felix A Faber, and Bingqing Cheng. “BenchML: An Extensible Pipelining Framework for Benchmarking Representations of Materials and Molecules at Scale.” Machine Learning: Science and Technology. IOP Publishing, 2022. https://doi.org/10.1088/2632-2153/ac4d11.","ista":"Poelking C, Faber FA, Cheng B. 2022. BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale. Machine Learning: Science and Technology. 3(4), 040501.","short":"C. Poelking, F.A. Faber, B. Cheng, Machine Learning: Science and Technology 3 (2022).","ama":"Poelking C, Faber FA, Cheng B. BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale. Machine Learning: Science and Technology. 2022;3(4). doi:10.1088/2632-2153/ac4d11"},"publisher":"IOP Publishing","ddc":["000"],"date_published":"2022-11-17T00:00:00Z","publication_identifier":{"issn":["2632-2153"]},"department":[{"_id":"BiCh"}],"file":[{"file_name":"2022_MachLearning_Poelking.pdf","file_id":"12343","checksum":"8930d4ad6ed9b47358c6f1a68666adb6","creator":"dernst","date_created":"2023-01-23T10:42:04Z","success":1,"relation":"main_file","content_type":"application/pdf","file_size":13814559,"date_updated":"2023-01-23T10:42:04Z","access_level":"open_access"}],"oa_version":"Published Version","oa":1,"language":[{"iso":"eng"}],"author":[{"full_name":"Poelking, Carl","last_name":"Poelking","first_name":"Carl"},{"full_name":"Faber, Felix A","last_name":"Faber","first_name":"Felix A"},{"first_name":"Bingqing","full_name":"Cheng, Bingqing","orcid":"0000-0002-3584-9632","id":"cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9","last_name":"Cheng"}],"related_material":{"link":[{"url":"https://github.com/capoe/benchml","relation":"software"}]},"supplementarymaterial":"yes","date_created":"2023-01-12T12:02:21Z","keyword":["Artificial Intelligence","Human-Computer Interaction","Software"],"publication_status":"published","das_tickbox":"1","article_type":"original","intvolume":" 3","isi":1,"has_accepted_license":"1","publication":"Machine Learning: Science and Technology","doi":"10.1088/2632-2153/ac4d11","article_processing_charge":"No"},{"_id":"12249","article_number":"121101","type":"journal_article","month":"09","issue":"12","quality_controlled":"1","acknowledgement":"I thank Daan Frenkel for providing feedback on an early draft and for stimulating discussions, Debashish Mukherji and Robinson Cortes-Huerto for sharing the trajectories for urea–water mixtures, and Aleks Reinhardt for useful suggestions on the manuscript.","volume":157,"date_updated":"2026-08-07T11:22:29Z","status":"public","year":"2022","day":"30","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","external_id":{"isi":["000862856000003"],"pmid":["36182422"]},"title":"Computing chemical potentials of solutions from structure factors","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","dataavailabilitystatement":"All PYTHON scripts and simulation input files generated for the study are in the SI repository https://github.com/BingqingCheng/S0, Ref. 29.\r\n29. B. Cheng, https://github.com/BingqingCheng/S0 “Data repository for the S0 method” (2020).","abstract":[{"text":"The chemical potential of a component in a solution is defined as the free energy change as the amount of that component changes. Computing this fundamental thermodynamic property from atomistic simulations is notoriously difficult because of the convergence issues involved in free energy methods and finite size effects. This Communication presents the so-called S0 method, which can be used to obtain chemical potentials from static structure factors computed from equilibrium molecular dynamics simulations under the isothermal–isobaric ensemble. This new method is demonstrated on the systems of binary Lennard-Jones particles, urea–water mixtures, a NaCl aqueous solution, and a high-pressure carbon–hydrogen mixture. ","lang":"eng"}],"file_date_updated":"2023-01-30T09:07:00Z","corr_author":"1","publisher":"AIP Publishing","citation":{"ieee":"B. Cheng, “Computing chemical potentials of solutions from structure factors,” The Journal of Chemical Physics, vol. 157, no. 12. AIP Publishing, 2022.","mla":"Cheng, Bingqing. “Computing Chemical Potentials of Solutions from Structure Factors.” The Journal of Chemical Physics, vol. 157, no. 12, 121101, AIP Publishing, 2022, doi:10.1063/5.0107059.","apa":"Cheng, B. (2022). Computing chemical potentials of solutions from structure factors. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/5.0107059","ama":"Cheng B. Computing chemical potentials of solutions from structure factors. The Journal of Chemical Physics. 2022;157(12). doi:10.1063/5.0107059","short":"B. Cheng, The Journal of Chemical Physics 157 (2022).","chicago":"Cheng, Bingqing. “Computing Chemical Potentials of Solutions from Structure Factors.” The Journal of Chemical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0107059.","ista":"Cheng B. 2022. Computing chemical potentials of solutions from structure factors. The Journal of Chemical Physics. 157(12), 121101."},"researchdata_availability":"yes","ddc":["530","540"],"date_published":"2022-09-30T00:00:00Z","publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]},"file":[{"file_id":"12441","checksum":"b0915b706568a663a9a372fca24adf35","date_created":"2023-01-30T09:07:00Z","success":1,"creator":"dernst","relation":"main_file","content_type":"application/pdf","file_name":"2022_JourChemPhysics_Cheng.pdf","file_size":4402384,"date_updated":"2023-01-30T09:07:00Z","access_level":"open_access"}],"oa_version":"Published Version","department":[{"_id":"BiCh"}],"oa":1,"language":[{"iso":"eng"}],"author":[{"full_name":"Cheng, Bingqing","id":"cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9","orcid":"0000-0002-3584-9632","last_name":"Cheng","first_name":"Bingqing"}],"pmid":1,"related_material":{"link":[{"url":"https://github.com/ BingqingCheng/S0","relation":"software"}]},"supplementarymaterial":"yes","keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"date_created":"2023-01-16T09:56:20Z","article_type":"original","publication_status":"published","das_tickbox":"1","intvolume":" 157","isi":1,"article_processing_charge":"No","doi":"10.1063/5.0107059","has_accepted_license":"1","publication":"The Journal of Chemical Physics"}]