Edit Profile (opens in new tab) Bayer, Arend Co-Author Distance Author ID: bayer.arend Published as: Bayer, Arend Homepage: http://www.maths.ed.ac.uk/~abayer/ External Links: MGP · Wikidata · arXiv · Google Scholar · GND Videos: carmin.tv Documents Indexed: 25 Publications since 2004, including 1 Book and 1 Additional arXiv Preprint 1 Further Contribution Biographic References: 1 Publication Co-Authors: 23 Co-Authors with 20 Joint Publications 445 Co-Co-Authors all top 5 Co-Authors 5 single-authored 10 Macrì, Emanuele 3 Stellari, Paolo 2 Lahoz, Martí 2 Manin, Yuriĭ Ivanovich 2 Perry, Alexander R. 2 Toda, Yukinobu 1 Beentjes, Sjoerd 1 Bertram, Aaron 1 Bridgeland, Tom 1 Cadman, Charles 1 Chen, Huachen 1 Craw, Alastair 1 Feyzbakhsh, Soheyla 1 Hassett, Brendan 1 Hein, Georg 1 Jiang, Qingyuan 1 Li, Chunyi 1 Martinelli, Diletta 1 Nuer, Howard J. 1 Ouchi, Genki 1 Rezaee, Fatemeh 1 Schmidt, Benjamin 1 Tschinkel, Yuri 1 Zhang, Ziyu 1 Zhao, Xiaolei all top 5 Serials 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 IMRN. International Mathematics Research Notices 2 Journal of Algebraic Geometry 2 Geometry & Topology 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Selecta Mathematica. New Series 1 Moscow Mathematical Journal 1 Pure and Applied Mathematics Quarterly Fields 25 Algebraic geometry (14-XX) 11 Category theory; homological algebra (18-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 644 times in 348 Documents Cited by ▼ Year ▼ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations. Zbl 1308.14011 Bayer, Arend; Macrì, Emanuele 122 2014 Projectivity and birational geometry of Bridgeland moduli spaces. Zbl 1314.14020 Bayer, Arend; Macrì, Emanuele 92 2014 Bridgeland stability conditions on threefolds. I Bogomolov-Gieseker type inequalities. Zbl 1306.14005 Bayer, Arend; Macrì, Emanuele; Toda, Yukinobu 73 2014 The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds. Zbl 1360.14057 Bayer, Arend; Macrì, Emanuele; Stellari, Paolo 60 2016 The space of stability conditions on the local projective plane. Zbl 1238.14014 Bayer, Arend; Macrì, Emanuele 47 2011 Stability conditions in families. Zbl 1481.14033 Bayer, Arend; Lahoz, Martí; Macrì, Emanuele; Nuer, Howard; Perry, Alexander; Stellari, Paolo 45 2021 Derived automorphism groups of \(K3\) surfaces of Picard rank 1. Zbl 1358.14019 Bayer, Arend; Bridgeland, Tom 32 2017 Polynomial Bridgeland stability conditions and the large volume limit. Zbl 1171.14011 Bayer, Arend 32 2009 Mori cones of holomorphic symplectic varieties of \(K3\) type. (Cônes de Mori des variétés symplectiques holomorphes de type \(K3\).) Zbl 1375.14124 Bayer, Arend; Hassett, Brendan; Tschinkel, Yuri 27 2015 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082 Bayer, Arend; Manin, Yuri I. 18 2004 Wall-crossing implies Brill-Noether: applications of stability conditions on surfaces. Zbl 1451.14048 Bayer, Arend 15 2018 Stability conditions on Kuznetsov components (with a joint appendix by Xiaolei Zhao). Zbl 07714640 Bayer, Arend; Lahoz, Martí; Macrì, Emanuele; Stellari, Paolo 14 2023 Semisimple quantum cohomology and blowups. Zbl 1080.14063 Bayer, Arend 14 2004 Quantum cohomology of \([\mathbb C^N/ \mu _r]\). Zbl 1223.14064 Bayer, Arend; Cadman, Charles 12 2010 Bridgeland stability conditions on threefolds. II: An application to Fujita’s conjecture. Zbl 1310.14026 Bayer, Arend; Bertram, Aaron; Macrì, Emanuele; Toda, Yukinobu 11 2014 On entropy of spherical twists. With an Appendix by Arend Bayer. Zbl 1441.14063 Ouchi, Genki 10 2020 Stability conditions, wall-crossing and weighted Gromov-Witten invariants. Zbl 1216.14051 Bayer, Arend; Manin, Yu I. 7 2009 A short proof of the deformation property of Bridgeland stability conditions. Zbl 1448.14019 Bayer, Arend 7 2019 Kuznetsov’s Fano threefold conjecture via \(K3\) categories and enhanced group actions. Zbl 1533.14012 Bayer, Arend; Perry, Alexander 6 2023 Nef divisors for moduli spaces of complexes with compact support. Zbl 1367.14004 Bayer, Arend; Craw, Alastair; Zhang, Ziyu 5 2017 Brill-Noether theory for curves on generic abelian surfaces. Zbl 1452.14029 Bayer, Arend; Li, Chunyi 3 2017 The desingularization of the theta divisor of a cubic threefold as a moduli space. Zbl 1542.14016 Bayer, Arend; Beentjes, Sjoerd Viktor; Feyzbakhsh, Soheyla; Hein, Georg; Martinelli, Diletta; Rezaee, Fatemeh; Schmidt, Benjamin 2 2024 The desingularization of the theta divisor of a cubic threefold as a moduli space. Zbl 1542.14016 Bayer, Arend; Beentjes, Sjoerd Viktor; Feyzbakhsh, Soheyla; Hein, Georg; Martinelli, Diletta; Rezaee, Fatemeh; Schmidt, Benjamin 2 2024 Stability conditions on Kuznetsov components (with a joint appendix by Xiaolei Zhao). Zbl 07714640 Bayer, Arend; Lahoz, Martí; Macrì, Emanuele; Stellari, Paolo 14 2023 Kuznetsov’s Fano threefold conjecture via \(K3\) categories and enhanced group actions. Zbl 1533.14012 Bayer, Arend; Perry, Alexander 6 2023 Stability conditions in families. Zbl 1481.14033 Bayer, Arend; Lahoz, Martí; Macrì, Emanuele; Nuer, Howard; Perry, Alexander; Stellari, Paolo 45 2021 On entropy of spherical twists. With an Appendix by Arend Bayer. Zbl 1441.14063 Ouchi, Genki 10 2020 A short proof of the deformation property of Bridgeland stability conditions. Zbl 1448.14019 Bayer, Arend 7 2019 Wall-crossing implies Brill-Noether: applications of stability conditions on surfaces. Zbl 1451.14048 Bayer, Arend 15 2018 Derived automorphism groups of \(K3\) surfaces of Picard rank 1. Zbl 1358.14019 Bayer, Arend; Bridgeland, Tom 32 2017 Nef divisors for moduli spaces of complexes with compact support. Zbl 1367.14004 Bayer, Arend; Craw, Alastair; Zhang, Ziyu 5 2017 Brill-Noether theory for curves on generic abelian surfaces. Zbl 1452.14029 Bayer, Arend; Li, Chunyi 3 2017 The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds. Zbl 1360.14057 Bayer, Arend; Macrì, Emanuele; Stellari, Paolo 60 2016 Mori cones of holomorphic symplectic varieties of \(K3\) type. (Cônes de Mori des variétés symplectiques holomorphes de type \(K3\).) Zbl 1375.14124 Bayer, Arend; Hassett, Brendan; Tschinkel, Yuri 27 2015 MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations. Zbl 1308.14011 Bayer, Arend; Macrì, Emanuele 122 2014 Projectivity and birational geometry of Bridgeland moduli spaces. Zbl 1314.14020 Bayer, Arend; Macrì, Emanuele 92 2014 Bridgeland stability conditions on threefolds. I Bogomolov-Gieseker type inequalities. Zbl 1306.14005 Bayer, Arend; Macrì, Emanuele; Toda, Yukinobu 73 2014 Bridgeland stability conditions on threefolds. II: An application to Fujita’s conjecture. Zbl 1310.14026 Bayer, Arend; Bertram, Aaron; Macrì, Emanuele; Toda, Yukinobu 11 2014 The space of stability conditions on the local projective plane. Zbl 1238.14014 Bayer, Arend; Macrì, Emanuele 47 2011 Quantum cohomology of \([\mathbb C^N/ \mu _r]\). Zbl 1223.14064 Bayer, Arend; Cadman, Charles 12 2010 Polynomial Bridgeland stability conditions and the large volume limit. Zbl 1171.14011 Bayer, Arend 32 2009 Stability conditions, wall-crossing and weighted Gromov-Witten invariants. Zbl 1216.14051 Bayer, Arend; Manin, Yu I. 7 2009 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082 Bayer, Arend; Manin, Yuri I. 18 2004 Semisimple quantum cohomology and blowups. Zbl 1080.14063 Bayer, Arend 14 2004 all cited Publications top 5 cited Publications all top 5 Cited by 347 Authors 14 Macrì, Emanuele 13 Bayer, Arend 13 Lo, Jason 11 Toda, Yukinobu 9 Li, Chunyi 9 Mongardi, Giovanni 9 Yoshioka, Kōta 8 Camere, Chiara 8 Zhao, Xiaolei 7 Coskun, Izzet 7 Feyzbakhsh, Soheyla 7 Pertusi, Laura 7 Schmidt, Benjamin 7 Stellari, Paolo 6 Huizenga, Jack 6 Nuer, Howard J. 6 Thomas, Richard Paul 6 Zhang, Ziyu 5 Fan, Yuwei 5 Perry, Alexander R. 5 Verbitsky, Misha 4 Bousseau, Pierrick 4 Cattaneo, Alberto Sergio 4 Fu, Lie 4 Haiden, Fabian 4 Huybrechts, Daniel 4 Iritani, Hiroshi 4 Ke, Huazhong 4 Meachan, Ciaran 4 Ouchi, Genki 4 Pagani, Nicola 4 Saccà, Giulia 4 Smith, Ivan 4 Tseng, Hsian-Hua 4 Zhang, Shizhuo 3 Amerik, Ekaterina Yu. 3 Bakker, Benjamin 3 Beckmann, Thorsten 3 Chen, Huachen 3 Cotti, Giordano 3 Craw, Alastair 3 Debarre, Olivier 3 Katzarkov, Ludmil 3 Kawatani, Kotaro 3 Koseki, Naoki 3 Kuznetsov, Aleksandr Gennad’evich 3 Lahoz, Martí 3 Liu, Zhiyu 3 Nakashima, Tohru 3 O’Grady, Kieran G. 3 Oprea, Dragos 3 Pandharipande, Rahul 3 Qin, Xuqiang 3 Rezaee, Fatemeh 3 Rota, Franco 3 Sawon, Justin 3 Stoppa, Jacopo 3 Voisin, Claire 3 Xia, Bingyu 2 Abe, Takeshi 2 Addington, Nicolas M. 2 Barbacovi, Federico 2 Bertram, Aaron 2 Boissière, Samuel 2 Bolognese, Barbara 2 Bridgeland, Tom 2 Bülles, Tim-Henrik 2 Chung, Kiryong 2 Coates, Tom 2 Codogni, Giulio 2 Corti, Alessio 2 Farkas, Gavril 2 Filip, Simion 2 Flapan, Laure 2 Giovenzana, Franco 2 Hassett, Brendan 2 Hellmann, Isabell 2 Hu, Jianxun 2 Ikeda, Akishi 2 Ishii, Akira 2 Kamenova, Ljudmila 2 Kapustka, Grzegorz 2 Kikuta, Kohei 2 Kim, Yeongrak 2 Knutsen, Andreas Leopold 2 Lehmann, Brian 2 Li, Changzheng 2 Lin, Xun 2 Liu, Wanmin 2 Marian, Alina 2 Martinelli, Diletta 2 Mehrotra, Sukhendu 2 Onorati, Claudio 2 Ottem, John Christian 2 Piyaratne, Dulip 2 Qiu, Yu 2 Romo, Mauricio 2 Ryan, Tim 2 Sala, Francesco 2 Sarti, Alessandra ...and 247 more Authors all top 5 Cited in 92 Serials 29 Mathematische Zeitschrift 21 Advances in Mathematics 12 Compositio Mathematica 12 Selecta Mathematica. New Series 11 Inventiones Mathematicae 11 Manuscripta Mathematica 10 Journal of the London Mathematical Society. Second Series 10 Transactions of the American Mathematical Society 10 Journal of Algebraic Geometry 10 Kyoto Journal of Mathematics 9 Journal of Geometry and Physics 9 Journal für die Reine und Angewandte Mathematik 8 Duke Mathematical Journal 7 Journal of Algebra 7 Mathematische Annalen 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Bulletin of the London Mathematical Society 6 Journal of Pure and Applied Algebra 5 Nagoya Mathematical Journal 5 Proceedings of the American Mathematical Society 5 Journal of the American Mathematical Society 5 Geometry & Topology 5 Forum of Mathematics, Sigma 4 Annales de l’Institut Fourier 4 Geometriae Dedicata 4 Mathematische Nachrichten 4 International Journal of Mathematics 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 4 Journal of the Institute of Mathematics of Jussieu 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Communications in Algebra 3 Publications Mathématiques 3 Documenta Mathematica 3 European Journal of Mathematics 2 Communications in Mathematical Physics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Journal of Differential Geometry 2 Journal of the Mathematical Society of Japan 2 Proceedings of the London Mathematical Society. Third Series 2 Acta Mathematica Sinica. English Series 2 Journal of High Energy Physics 2 Advances in Geometry 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Algebra & Number Theory 2 Journal de l’École Polytechnique – Mathématiques 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Sugaku Expositions 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Applied Categorical Structures 1 Bulletin des Sciences Mathématiques 1 Revista Matemática Complutense 1 Annales Henri Poincaré 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Noncommutative Geometry 1 Journal of Gökova Geometry Topology GGT 1 Science China. Mathematics 1 Research in the Mathematical Sciences 1 Annals of PDE 1 Arnold Mathematical Journal 1 Bollettino dell’Unione Matematica Italiana 1 Épijournal de Géométrie Algébrique. EPIGA 1 Peking Mathematical Journal all top 5 Cited in 25 Fields 326 Algebraic geometry (14-XX) 60 Category theory; homological algebra (18-XX) 58 Differential geometry (53-XX) 30 Several complex variables and analytic spaces (32-XX) 11 Associative rings and algebras (16-XX) 9 Commutative algebra (13-XX) 9 Quantum theory (81-XX) 7 Number theory (11-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 3 \(K\)-theory (19-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.