Edit Profile Toën, Bertrand Compute Distance To: Compute Author ID: toen.bertrand Published as: Toen, B.; Toen, Bertrand; Toën, B.; Toën, Bertrand External Links: MGP · Wikidata · GND Documents Indexed: 41 Publications since 1999, including 3 Books all top 5 Co-Authors 17 single-authored 15 Vezzosi, Gabriele 7 Vaquié, Michel 5 Pantev, Tony G. 2 Katzarkov, Ludmil 1 Anel, Mathieu 1 Blanc, Anthony 1 Calaque, Damien 1 Kock, Joachim 1 Moerdijk, Ieke 1 Robalo, Marco 1 Schürg, Timo 1 Simpson, Carlos Tschudi all top 5 Serials 5 Compositio Mathematica 2 Inventiones Mathematicae 2 \(K\)-Theory 2 Selecta Mathematica. New Series 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 IMRN. International Mathematics Research Notices 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Contemporary Mathematics 1 Journal of Topology 1 Journal of \(K\)-Theory 1 EMS Surveys in Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Bollettino dell’Unione Matematica Italiana 1 Épijournal de Géométrie Algébrique. EPIGA 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 33 Category theory; homological algebra (18-XX) 32 Algebraic geometry (14-XX) 14 Algebraic topology (55-XX) 11 Associative rings and algebras (16-XX) 5 Differential geometry (53-XX) 4 \(K\)-theory (19-XX) 3 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 38 Publications have been cited 876 times in 534 Documents Cited by ▼ Year ▼ The homotopy theory of dg-categories and derived Morita theory. Zbl 1118.18010Toën, Bertrand 119 2007 Homotopical algebraic geometry. II: Geometric stacks and applications. Zbl 1145.14003Toën, Bertrand; Vezzosi, Gabriele 109 2008 Shifted symplectic structures. Zbl 1328.14027Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele 66 2013 Homotopical algebraic geometry. I: Topos theory. Zbl 1120.14012Toën, Bertrand; Vezzosi, Gabriele 63 2005 Moduli of objects in dg-categories. Zbl 1140.18005Toën, Bertrand; Vaquié, Michel 59 2007 Under Spec \(\mathbb Z\). Zbl 1177.14022Toën, Bertrand; Vaquié, Michel 52 2009 Riemann-Roch theorems for Deligne-Mumford stacks. Zbl 0946.14004Toen, B. 52 1999 Derived Hall algebras. Zbl 1117.18011Toën, Bertrand 49 2006 Derived algebraic geometry. Zbl 1314.14005Toën, Bertrand 30 2014 Derived Azumaya algebras and generators for twisted derived categories. Zbl 1275.14017Toën, Bertrand 30 2012 Higher and derived stacks: a global overview. Zbl 1183.14001Toën, Bertrand 28 2009 Shifted Poisson structures and deformation quantization. Zbl 1428.14006Calaque, Damien; Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele 26 2017 Towards an axiomatization of the theory of higher categories. Zbl 1083.18003Toën, Bertrand 19 2005 From HAG to DAG: derived moduli stacks. Zbl 1076.14002Toën, Bertrand; Vezzosi, Gabriele 19 2004 A remark on \(K\)-theory and \(S\)-categories. Zbl 1054.55004Toën, Bertrand; Vezzosi, Gabriele 16 2004 Affine stacks. Zbl 1108.14004Toën, Bertrand 15 2006 Algebraization of complex analytic varieties and derived categories. Zbl 1158.14005Toën, Bertrand; Vaquié, Michel 13 2008 Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes. Zbl 1320.14033Schürg, Timo; Toën, Bertrand; Vezzosi, Gabriele 12 2015 \(S^1\)-equivariant simplicial algebras, de Rham theory and multiplicative HKR theorems. Zbl 1257.18014Toën, Bertrand; Vezzosi, Gabriele 10 2011 Schematic homotopy types and non-abelian Hodge theory. Zbl 1158.14013Katzarkov, L.; Pantev, T.; Toën, B. 9 2008 Simplicial localization of monoidal structures, and a non-linear version of Deligne’s conjecture. Zbl 1074.18006Kock, Joachim; Toën, Bertrand 9 2005 Chern character, loop spaces and derived algebraic geometry. Zbl 1177.14042Toën, Bertrand; Vezzosi, Gabriele 8 2009 Algebraic and topological aspects of the schematization functor. Zbl 1183.14017Katzarkov, L.; Pantev, T.; Toën, B. 8 2009 Brave new algebraic geometry and global derived moduli spaces of ring spectra. Zbl 1236.14022Toën, Bertrand; Vezzosi, Gabriele 7 2007 Chern characters, equivariant traces and derived algebraic geometry. Zbl 1333.19006Toën, Bertrand; Vezzosi, Gabriele 6 2015 Faithfully flat descent for \(n\)-Artin stacks. Zbl 1252.14003Toën, Bertrand 5 2011 Homotopy finiteness of proper and smooth dg-algebras. Zbl 1209.16011Toën, Bertrand 5 2009 Rings of definition of proper and smooth dg-algebras. Zbl 1188.16007Toën, Bertrand 5 2008 Motivic realizations of singularity categories and vanishing cycles. Zbl 1423.14151Blanc, Anthony; Robalo, Marco; Toën, Bertrand; Vezzosi, Gabriele 4 2018 Towards a Galois interpretation of homotopy theory. Zbl 1038.55007Toen, Bertrand 4 2002 On motives for Deligne-Mumford stacks. Zbl 1034.14008Toen, B. 4 2000 Derived algebraic geometry and deformation quantization. Zbl 1373.14003Toën, Bertrand 3 2014 Simplicial presheaves and derived algebraic geometry. Zbl 1223.14013Toën, Bertrand 3 2010 Simplicial methods for operads and algebraic geometry. Edited by Carles Casacuberta and Joachim Kock. Zbl 1350.14002Moerdijk, Ieke; Toën, Bertrand 3 2010 Uncountability of derived equivalence classes of algebraic varieties. Zbl 1184.14027Anel, Mathieu; Toën, Bertrand 3 2009 Non-commutative geometry, trace formula and Bloch’s conductor. Zbl 1404.14023Toën, Bertrand; Vezzosi, Gabriele 1 2017 Problems of formal modules. Zbl 1401.14028Toën, Bertrand 1 2017 Point systems in saturated dg-categories. Zbl 1364.18007Toën, Bertrand; Vaquié, Michel 1 2016 Motivic realizations of singularity categories and vanishing cycles. Zbl 1423.14151Blanc, Anthony; Robalo, Marco; Toën, Bertrand; Vezzosi, Gabriele 4 2018 Shifted Poisson structures and deformation quantization. Zbl 1428.14006Calaque, Damien; Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele 26 2017 Non-commutative geometry, trace formula and Bloch’s conductor. Zbl 1404.14023Toën, Bertrand; Vezzosi, Gabriele 1 2017 Problems of formal modules. Zbl 1401.14028Toën, Bertrand 1 2017 Point systems in saturated dg-categories. Zbl 1364.18007Toën, Bertrand; Vaquié, Michel 1 2016 Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes. Zbl 1320.14033Schürg, Timo; Toën, Bertrand; Vezzosi, Gabriele 12 2015 Chern characters, equivariant traces and derived algebraic geometry. Zbl 1333.19006Toën, Bertrand; Vezzosi, Gabriele 6 2015 Derived algebraic geometry. Zbl 1314.14005Toën, Bertrand 30 2014 Derived algebraic geometry and deformation quantization. Zbl 1373.14003Toën, Bertrand 3 2014 Shifted symplectic structures. Zbl 1328.14027Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele 66 2013 Derived Azumaya algebras and generators for twisted derived categories. Zbl 1275.14017Toën, Bertrand 30 2012 \(S^1\)-equivariant simplicial algebras, de Rham theory and multiplicative HKR theorems. Zbl 1257.18014Toën, Bertrand; Vezzosi, Gabriele 10 2011 Faithfully flat descent for \(n\)-Artin stacks. Zbl 1252.14003Toën, Bertrand 5 2011 Simplicial presheaves and derived algebraic geometry. Zbl 1223.14013Toën, Bertrand 3 2010 Simplicial methods for operads and algebraic geometry. Edited by Carles Casacuberta and Joachim Kock. Zbl 1350.14002Moerdijk, Ieke; Toën, Bertrand 3 2010 Under Spec \(\mathbb Z\). Zbl 1177.14022Toën, Bertrand; Vaquié, Michel 52 2009 Higher and derived stacks: a global overview. Zbl 1183.14001Toën, Bertrand 28 2009 Chern character, loop spaces and derived algebraic geometry. Zbl 1177.14042Toën, Bertrand; Vezzosi, Gabriele 8 2009 Algebraic and topological aspects of the schematization functor. Zbl 1183.14017Katzarkov, L.; Pantev, T.; Toën, B. 8 2009 Homotopy finiteness of proper and smooth dg-algebras. Zbl 1209.16011Toën, Bertrand 5 2009 Uncountability of derived equivalence classes of algebraic varieties. Zbl 1184.14027Anel, Mathieu; Toën, Bertrand 3 2009 Homotopical algebraic geometry. II: Geometric stacks and applications. Zbl 1145.14003Toën, Bertrand; Vezzosi, Gabriele 109 2008 Algebraization of complex analytic varieties and derived categories. Zbl 1158.14005Toën, Bertrand; Vaquié, Michel 13 2008 Schematic homotopy types and non-abelian Hodge theory. Zbl 1158.14013Katzarkov, L.; Pantev, T.; Toën, B. 9 2008 Rings of definition of proper and smooth dg-algebras. Zbl 1188.16007Toën, Bertrand 5 2008 The homotopy theory of dg-categories and derived Morita theory. Zbl 1118.18010Toën, Bertrand 119 2007 Moduli of objects in dg-categories. Zbl 1140.18005Toën, Bertrand; Vaquié, Michel 59 2007 Brave new algebraic geometry and global derived moduli spaces of ring spectra. Zbl 1236.14022Toën, Bertrand; Vezzosi, Gabriele 7 2007 Derived Hall algebras. Zbl 1117.18011Toën, Bertrand 49 2006 Affine stacks. Zbl 1108.14004Toën, Bertrand 15 2006 Homotopical algebraic geometry. I: Topos theory. Zbl 1120.14012Toën, Bertrand; Vezzosi, Gabriele 63 2005 Towards an axiomatization of the theory of higher categories. Zbl 1083.18003Toën, Bertrand 19 2005 Simplicial localization of monoidal structures, and a non-linear version of Deligne’s conjecture. Zbl 1074.18006Kock, Joachim; Toën, Bertrand 9 2005 From HAG to DAG: derived moduli stacks. Zbl 1076.14002Toën, Bertrand; Vezzosi, Gabriele 19 2004 A remark on \(K\)-theory and \(S\)-categories. Zbl 1054.55004Toën, Bertrand; Vezzosi, Gabriele 16 2004 Towards a Galois interpretation of homotopy theory. Zbl 1038.55007Toen, Bertrand 4 2002 On motives for Deligne-Mumford stacks. Zbl 1034.14008Toen, B. 4 2000 Riemann-Roch theorems for Deligne-Mumford stacks. Zbl 0946.14004Toen, B. 52 1999 all cited Publications top 5 cited Publications all top 5 Cited by 491 Authors 19 Tabuada, Gonçalo 18 Toën, Bertrand 11 Joyce, Dominic David 11 Polishchuk, Alexander Evgen’evich 11 Vezzosi, Gabriele 10 Zhang, Haicheng 9 Banerjee, Abhishek 9 Cao, Yalong 9 Safronov, Pavel 9 Xu, Fan 8 Antieau, Benjamin 8 Pridham, Jonathan Paul 7 Dyckerhoff, Tobias 7 Muro, Fernando 7 Sibilla, Nicolò 6 Ben-Bassat, Oren 6 Connes, Alain 6 Kapranov, Mikhail M. 6 Lunts, Valery A. 6 Orlov, Dmitri O. 6 Scherotzke, Sarah 6 Stellari, Paolo 6 Toda, Yukinobu 6 Van den Bergh, Michel 5 Barwick, Clark 5 Blumberg, Andrew J. 5 Canonaco, Alberto 5 Edidin, Dan 5 Efimov, Alexander I. 5 Elliott, Chris 5 Francis, John 5 Gepner, David 5 Gwilliam, Owen 5 Lorscheid, Oliver 5 Vaquié, Michel 4 Ballard, Matthew Robert 4 Bergner, Julie 4 Calaque, Damien 4 Consani, Caterina 4 Graham, William A. 4 Hall, Jack 4 Haugseng, Rune 4 Iritani, Hiroshi 4 Iwanari, Isamu 4 Jun, Jaiung 4 Katzarkov, Ludmil 4 Keller, Bernhard 4 Kremnizer, Kobi 4 Krishna, Amalendu 4 Melani, Valerio 4 Nadler, David 4 Porta, Mauro 4 Schenkel, Alexander 4 Schnürer, Olaf M. 4 Shipley, Brooke E. 4 Szczesny, Matthew 4 Tseng, Hsian-Hua 4 Vologodsky, Vadim 3 Arinkin, Dima 3 Ayala, David 3 Balchin, Scott 3 Bambozzi, Federico 3 Ben-Zvi, David 3 Benini, Marco 3 Berest, Yuri Yu. 3 Brav, Christopher 3 Bussi, Vittoria 3 Căldăraru, Andrei 3 Chen, Xueqing 3 Cisinski, Denis-Charles 3 Dugger, Daniel 3 Favero, David 3 Grady, Ryan E. 3 Hoyois, Marc 3 Khan, Adeel A. 3 Kool, Martijn 3 Lekili, Yankı 3 Leung, Naichung Conan 3 Lowen, Wendy 3 Mahanta, Snigdhayan 3 Mandell, Michael A. 3 Maxim, Laurentiu G. 3 Olsson, Martin C. 3 Pantev, Tony G. 3 Poncin, Norbert 3 Ramadoss, Ajay C. 3 Robalo, Marco 3 Sala, Francesco 3 Sheng, Jie 3 Szymik, Markus 3 Talpo, Mattia 3 Xiao, Jie 3 Yu, Tony Yue 2 Ara, Dimitri 2 Biswas, Indranil 2 Blanc, Anthony 2 Block, Jonathan L. 2 Bondal, Alexey I. 2 Borisov, Dennis V. 2 Bruzzo, Ugo ...and 391 more Authors all top 5 Cited in 101 Serials 90 Advances in Mathematics 26 Compositio Mathematica 26 Journal of Algebra 24 Selecta Mathematica. New Series 21 Geometry & Topology 20 Duke Mathematical Journal 19 Journal of Pure and Applied Algebra 14 Communications in Mathematical Physics 13 Applied Categorical Structures 12 Mathematische Zeitschrift 12 Algebraic & Geometric Topology 11 Communications in Algebra 11 Inventiones Mathematicae 11 Journal of \(K\)-Theory 10 Journal of Homotopy and Related Structures 9 Journal of Geometry and Physics 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Journal of Algebraic Geometry 8 Mathematische Annalen 8 Transactions of the American Mathematical Society 6 Memoirs of the American Mathematical Society 6 Forum of Mathematics, Sigma 5 Letters in Mathematical Physics 5 Journal of Number Theory 5 Journal of the Institute of Mathematics of Jussieu 5 Journal of Noncommutative Geometry 5 Science China. Mathematics 4 Publications Mathématiques 4 Proceedings of the American Mathematical Society 4 Journal of the American Mathematical Society 4 International Journal of Mathematics 4 Documenta Mathematica 3 Israel Journal of Mathematics 3 Journal für die Reine und Angewandte Mathematik 3 Topology and its Applications 3 Indagationes Mathematicae. New Series 3 Algebras and Representation Theory 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Topology 2 Nuclear Physics. B 2 Russian Mathematical Surveys 2 Czechoslovak Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Geometric and Functional Analysis. GAFA 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Theory and Applications of Categories 2 Mathematical Physics, Analysis and Geometry 2 Annals of Mathematics. Second Series 2 Proceedings of the Steklov Institute of Mathematics 2 Japanese Journal of Mathematics. 3rd Series 2 Arnold Mathematical Journal 2 Annals of \(K\)-Theory 2 Higher Structures 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Functional Analysis 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Chinese Annals of Mathematics. Series B 1 \(K\)-Theory 1 Differential Geometry and its Applications 1 MSCS. Mathematical Structures in Computer Science 1 Journal de Théorie des Nombres de Bordeaux 1 Algebra Colloquium 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 Transformation Groups 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Algebra & Number Theory 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Quantum Topology 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Kyoto Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Pi 1 Mathematics 1 EMS Surveys in Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the American Mathematical Society. Series B 1 Bollettino dell’Unione Matematica Italiana ...and 1 more Serials all top 5 Cited in 32 Fields 327 Algebraic geometry (14-XX) 266 Category theory; homological algebra (18-XX) 111 Associative rings and algebras (16-XX) 111 Algebraic topology (55-XX) 65 Differential geometry (53-XX) 62 \(K\)-theory (19-XX) 41 Nonassociative rings and algebras (17-XX) 36 Several complex variables and analytic spaces (32-XX) 33 Commutative algebra (13-XX) 33 Quantum theory (81-XX) 27 Number theory (11-XX) 24 Manifolds and cell complexes (57-XX) 17 Group theory and generalizations (20-XX) 17 Global analysis, analysis on manifolds (58-XX) 9 Functional analysis (46-XX) 7 Topological groups, Lie groups (22-XX) 6 Combinatorics (05-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Field theory and polynomials (12-XX) 4 Relativity and gravitational theory (83-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Partial differential equations (35-XX) 2 General topology (54-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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