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Toën, Bertrand

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Author ID: toen.bertrand Recent zbMATH articles by "Toën, 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

Publications by Year

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 1118.18010
Toën, Bertrand
119
2007
Homotopical algebraic geometry. II: Geometric stacks and applications. Zbl 1145.14003
Toën, Bertrand; Vezzosi, Gabriele
109
2008
Shifted symplectic structures. Zbl 1328.14027
Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele
66
2013
Homotopical algebraic geometry. I: Topos theory. Zbl 1120.14012
Toën, Bertrand; Vezzosi, Gabriele
63
2005
Moduli of objects in dg-categories. Zbl 1140.18005
Toën, Bertrand; Vaquié, Michel
59
2007
Under Spec \(\mathbb Z\). Zbl 1177.14022
Toën, Bertrand; Vaquié, Michel
52
2009
Riemann-Roch theorems for Deligne-Mumford stacks. Zbl 0946.14004
Toen, B.
52
1999
Derived Hall algebras. Zbl 1117.18011
Toën, Bertrand
49
2006
Derived algebraic geometry. Zbl 1314.14005
Toën, Bertrand
30
2014
Derived Azumaya algebras and generators for twisted derived categories. Zbl 1275.14017
Toën, Bertrand
30
2012
Higher and derived stacks: a global overview. Zbl 1183.14001
Toën, Bertrand
28
2009
Shifted Poisson structures and deformation quantization. Zbl 1428.14006
Calaque, Damien; Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele
26
2017
Towards an axiomatization of the theory of higher categories. Zbl 1083.18003
Toën, Bertrand
19
2005
From HAG to DAG: derived moduli stacks. Zbl 1076.14002
Toën, Bertrand; Vezzosi, Gabriele
19
2004
A remark on \(K\)-theory and \(S\)-categories. Zbl 1054.55004
Toën, Bertrand; Vezzosi, Gabriele
16
2004
Affine stacks. Zbl 1108.14004
Toën, Bertrand
15
2006
Algebraization of complex analytic varieties and derived categories. Zbl 1158.14005
Toën, Bertrand; Vaquié, Michel
13
2008
Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes. Zbl 1320.14033
Schürg, Timo; Toën, Bertrand; Vezzosi, Gabriele
12
2015
\(S^1\)-equivariant simplicial algebras, de Rham theory and multiplicative HKR theorems. Zbl 1257.18014
Toën, Bertrand; Vezzosi, Gabriele
10
2011
Schematic homotopy types and non-abelian Hodge theory. Zbl 1158.14013
Katzarkov, L.; Pantev, T.; Toën, B.
9
2008
Simplicial localization of monoidal structures, and a non-linear version of Deligne’s conjecture. Zbl 1074.18006
Kock, Joachim; Toën, Bertrand
9
2005
Chern character, loop spaces and derived algebraic geometry. Zbl 1177.14042
Toën, Bertrand; Vezzosi, Gabriele
8
2009
Algebraic and topological aspects of the schematization functor. Zbl 1183.14017
Katzarkov, L.; Pantev, T.; Toën, B.
8
2009
Brave new algebraic geometry and global derived moduli spaces of ring spectra. Zbl 1236.14022
Toën, Bertrand; Vezzosi, Gabriele
7
2007
Chern characters, equivariant traces and derived algebraic geometry. Zbl 1333.19006
Toën, Bertrand; Vezzosi, Gabriele
6
2015
Faithfully flat descent for \(n\)-Artin stacks. Zbl 1252.14003
Toën, Bertrand
5
2011
Homotopy finiteness of proper and smooth dg-algebras. Zbl 1209.16011
Toën, Bertrand
5
2009
Rings of definition of proper and smooth dg-algebras. Zbl 1188.16007
Toën, Bertrand
5
2008
Motivic realizations of singularity categories and vanishing cycles. Zbl 1423.14151
Blanc, Anthony; Robalo, Marco; Toën, Bertrand; Vezzosi, Gabriele
4
2018
Towards a Galois interpretation of homotopy theory. Zbl 1038.55007
Toen, Bertrand
4
2002
On motives for Deligne-Mumford stacks. Zbl 1034.14008
Toen, B.
4
2000
Derived algebraic geometry and deformation quantization. Zbl 1373.14003
Toën, Bertrand
3
2014
Simplicial presheaves and derived algebraic geometry. Zbl 1223.14013
Toën, Bertrand
3
2010
Simplicial methods for operads and algebraic geometry. Edited by Carles Casacuberta and Joachim Kock. Zbl 1350.14002
Moerdijk, Ieke; Toën, Bertrand
3
2010
Uncountability of derived equivalence classes of algebraic varieties. Zbl 1184.14027
Anel, Mathieu; Toën, Bertrand
3
2009
Non-commutative geometry, trace formula and Bloch’s conductor. Zbl 1404.14023
Toën, Bertrand; Vezzosi, Gabriele
1
2017
Problems of formal modules. Zbl 1401.14028
Toën, Bertrand
1
2017
Point systems in saturated dg-categories. Zbl 1364.18007
Toën, Bertrand; Vaquié, Michel
1
2016
Motivic realizations of singularity categories and vanishing cycles. Zbl 1423.14151
Blanc, Anthony; Robalo, Marco; Toën, Bertrand; Vezzosi, Gabriele
4
2018
Shifted Poisson structures and deformation quantization. Zbl 1428.14006
Calaque, Damien; Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele
26
2017
Non-commutative geometry, trace formula and Bloch’s conductor. Zbl 1404.14023
Toën, Bertrand; Vezzosi, Gabriele
1
2017
Problems of formal modules. Zbl 1401.14028
Toën, Bertrand
1
2017
Point systems in saturated dg-categories. Zbl 1364.18007
Toën, Bertrand; Vaquié, Michel
1
2016
Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes. Zbl 1320.14033
Schürg, Timo; Toën, Bertrand; Vezzosi, Gabriele
12
2015
Chern characters, equivariant traces and derived algebraic geometry. Zbl 1333.19006
Toën, Bertrand; Vezzosi, Gabriele
6
2015
Derived algebraic geometry. Zbl 1314.14005
Toën, Bertrand
30
2014
Derived algebraic geometry and deformation quantization. Zbl 1373.14003
Toën, Bertrand
3
2014
Shifted symplectic structures. Zbl 1328.14027
Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele
66
2013
Derived Azumaya algebras and generators for twisted derived categories. Zbl 1275.14017
Toën, Bertrand
30
2012
\(S^1\)-equivariant simplicial algebras, de Rham theory and multiplicative HKR theorems. Zbl 1257.18014
Toën, Bertrand; Vezzosi, Gabriele
10
2011
Faithfully flat descent for \(n\)-Artin stacks. Zbl 1252.14003
Toën, Bertrand
5
2011
Simplicial presheaves and derived algebraic geometry. Zbl 1223.14013
Toën, Bertrand
3
2010
Simplicial methods for operads and algebraic geometry. Edited by Carles Casacuberta and Joachim Kock. Zbl 1350.14002
Moerdijk, Ieke; Toën, Bertrand
3
2010
Under Spec \(\mathbb Z\). Zbl 1177.14022
Toën, Bertrand; Vaquié, Michel
52
2009
Higher and derived stacks: a global overview. Zbl 1183.14001
Toën, Bertrand
28
2009
Chern character, loop spaces and derived algebraic geometry. Zbl 1177.14042
Toën, Bertrand; Vezzosi, Gabriele
8
2009
Algebraic and topological aspects of the schematization functor. Zbl 1183.14017
Katzarkov, L.; Pantev, T.; Toën, B.
8
2009
Homotopy finiteness of proper and smooth dg-algebras. Zbl 1209.16011
Toën, Bertrand
5
2009
Uncountability of derived equivalence classes of algebraic varieties. Zbl 1184.14027
Anel, Mathieu; Toën, Bertrand
3
2009
Homotopical algebraic geometry. II: Geometric stacks and applications. Zbl 1145.14003
Toën, Bertrand; Vezzosi, Gabriele
109
2008
Algebraization of complex analytic varieties and derived categories. Zbl 1158.14005
Toën, Bertrand; Vaquié, Michel
13
2008
Schematic homotopy types and non-abelian Hodge theory. Zbl 1158.14013
Katzarkov, L.; Pantev, T.; Toën, B.
9
2008
Rings of definition of proper and smooth dg-algebras. Zbl 1188.16007
Toën, Bertrand
5
2008
The homotopy theory of dg-categories and derived Morita theory. Zbl 1118.18010
Toën, Bertrand
119
2007
Moduli of objects in dg-categories. Zbl 1140.18005
Toën, Bertrand; Vaquié, Michel
59
2007
Brave new algebraic geometry and global derived moduli spaces of ring spectra. Zbl 1236.14022
Toën, Bertrand; Vezzosi, Gabriele
7
2007
Derived Hall algebras. Zbl 1117.18011
Toën, Bertrand
49
2006
Affine stacks. Zbl 1108.14004
Toën, Bertrand
15
2006
Homotopical algebraic geometry. I: Topos theory. Zbl 1120.14012
Toën, Bertrand; Vezzosi, Gabriele
63
2005
Towards an axiomatization of the theory of higher categories. Zbl 1083.18003
Toën, Bertrand
19
2005
Simplicial localization of monoidal structures, and a non-linear version of Deligne’s conjecture. Zbl 1074.18006
Kock, Joachim; Toën, Bertrand
9
2005
From HAG to DAG: derived moduli stacks. Zbl 1076.14002
Toën, Bertrand; Vezzosi, Gabriele
19
2004
A remark on \(K\)-theory and \(S\)-categories. Zbl 1054.55004
Toën, Bertrand; Vezzosi, Gabriele
16
2004
Towards a Galois interpretation of homotopy theory. Zbl 1038.55007
Toen, Bertrand
4
2002
On motives for Deligne-Mumford stacks. Zbl 1034.14008
Toen, B.
4
2000
Riemann-Roch theorems for Deligne-Mumford stacks. Zbl 0946.14004
Toen, B.
52
1999
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

Citations by Year

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