Edit Profile (opens in new tab) Van den Bergh, Michel Co-Author Distance Author ID: van-den-bergh.michel Published as: Van den Bergh, Michel; Van den Bergh, M.; van den Bergh, Michel; van den Bergh, M.; Van Den Bergh, Michel more...less Homepage: http://hardy.uhasselt.be/personal/vdbergh/Members/michel_id.html External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 152 Publications since 1984, including 3 Books and 13 Additional arXiv Preprints 7 Contributions as Editor · 2 Further Contributions Co-Authors: 68 Co-Authors with 117 Joint Publications 1,265 Co-Co-Authors all top 5 Co-Authors 43 single-authored 16 Špenko, Špela 9 van Oystaeyen, Freddy 8 Lowen, Wendy 8 Stafford, J. Toby 7 Le Bruyn, Lieven 7 Raedschelders, Theo 6 Tabuada, Gonçalo 5 de Thanhoffer de Völcsey, Louis 5 Rizzardo, Alice 4 Calaque, Damien 4 Reiten, Idun 3 Artin, Michael 3 Buchweitz, Ragnar-Olaf 3 De Naeghel, Koen 3 Leuschke, Graham J. 3 Ooms, Alfons I. 3 Reineke, Markus 3 Schofield, Aidan 3 Sevenhant, Bert 3 Stroppel, Catharina H. 3 Tate, John Torrence jun. 2 Alev, Jacques 2 Crawley-Boevey, William 2 Eisenbud, David 2 Genovese, Francesco 2 Happel, Dieter 2 Iyengar, Srikanth B. 2 Keller, Bernhard 2 Li, Huishi 2 Lunts, Valery A. 2 Presotto, Dennis 2 Rossi, Carlo Antonio 2 Singh, Anurag K. 2 Small, Lance W. 2 Smith, S. Paul 2 Van Gastel, Martine 2 Van Geel, Jan 1 Ajitabh, Kaushal 1 Apostolopoulos, C. 1 Asensio, M. Jesus 1 Awami, Mohamed A. 1 Bauwens, Kristien 1 Bell, Jason P. 1 Belmans, Pieter 1 Berest, Yuri Yu. 1 Bondal, Alexey I. 1 Caenepeel, Stefaan 1 Chan, Daniel 1 Chan, Kenneth S. 1 Coulembier, Kevin 1 Gateva-Ivanova, Tatiana 1 Hille, Lutz 1 Ingalls, Colin 1 Jabbusch, Kelly 1 Jensen, Anders 1 Jøndrup, Søren 1 Kriegk, Benoit 1 Kulkarni, Rajesh S. 1 Lerner, Boris 1 Manin, Yuriĭ Ivanovich 1 Murfet, Daniel 1 Musson, Ian M. 1 Nakajima, Hiraku 1 Nanayakkara, Basil 1 Nastasescu, Constantin 1 Neeman, Amnon 1 Okawa, Shinnosuke 1 Polishchuk, Alexander Evgen’evich 1 Rennemo, Jørgen Vold 1 Segal, Ed 1 Smith, Karen E. 1 Wilson, George all top 5 Serials 20 Journal of Algebra 12 Advances in Mathematics 10 Transactions of the American Mathematical Society 9 IMRN. International Mathematics Research Notices 8 Proceedings of the American Mathematical Society 7 Communications in Algebra 7 Inventiones Mathematicae 6 Journal of Noncommutative Geometry 5 Oberwolfach Reports 4 Journal of Pure and Applied Algebra 4 Mathematische Zeitschrift 3 Israel Journal of Mathematics 3 Compositio Mathematica 3 Memoirs of the American Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 \(K\)-Theory 2 Journal of the American Mathematical Society 2 Selecta Mathematica. New Series 2 Mathematical Research Letters 2 Algebras and Representation Theory 2 Annals of Mathematics. Second Series 2 Moscow Mathematical Journal 2 Mathematical Sciences Research Institute Publications 1 Duke Mathematical Journal 1 Michigan Mathematical Journal 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Mathematical Structures in Computer Science 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Indagationes Mathematicae. New Series 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 Pure and Applied Mathematics Quarterly 1 CRM Short Courses all top 5 Fields 100 Associative rings and algebras (16-XX) 89 Algebraic geometry (14-XX) 44 Category theory; homological algebra (18-XX) 34 Commutative algebra (13-XX) 17 Nonassociative rings and algebras (17-XX) 15 Group theory and generalizations (20-XX) 7 General and overarching topics; collections (00-XX) 7 Differential geometry (53-XX) 6 Number theory (11-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Field theory and polynomials (12-XX) 5 \(K\)-theory (19-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Combinatorics (05-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 3,620 times in 2,335 Documents Cited by ▼ Year ▼ Generators and representability of functors in commutative and noncommutative geometry. Zbl 1135.18302 Bondal, A.; van den Bergh, M. 240 2003 Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024 Artin, M.; Tate, J.; Van den Bergh, M. 231 1990 Modules over regular algebras of dimension 3. Zbl 0763.14001 Artin, M.; Tate, J.; Van den Bergh, M. 176 1991 Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009 Reiten, I.; Van den Bergh, M. 165 2002 Semigroups of \(I\)-type. Zbl 0944.20049 Gateva-Ivanova, Tatiana; Van den Bergh, Michel 163 1998 Non-commutative crepant resolutions. Zbl 1082.14005 van den Bergh, Michel 139 2004 Three-dimensional flops and noncommutative rings. Zbl 1074.14013 Van den Bergh, Michel 133 2004 Deformed Calabi-Yau completions. Zbl 1220.18012 Keller, Bernhard; Van den Bergh, Michel 111 2011 Existence theorems for dualizing complexes over non-commutative graded and filtered rings. Zbl 0894.16020 Van den Bergh, Michel 110 1997 Double Poisson algebras. Zbl 1157.53046 Van den Bergh, Michel 108 2008 Noncommutative curves and noncommutative surfaces. Zbl 1042.16016 Stafford, J. T.; Van den Bergh, M. 91 2001 Twisted homogeneous coordinate rings. Zbl 0717.14001 Artin, M.; Van den Bergh, M. 88 1990 Separable functors applied to graded rings. Zbl 0673.16026 Năstăsescu, C.; Van den Bergh, M.; Van Oystaeyen, F. 78 1989 A relation between Hochschild homology and cohomology for Gorenstein rings. Zbl 0894.16005 Van den Bergh, Michel 73 1998 Simplicity of rings of differential operators in prime characteristic. Zbl 0948.16019 Smith, Karen E.; Van den Bergh, Michel 68 1997 Homological properties of Sklyanin algebras. Zbl 0876.17010 Tate, John; Van den Bergh, Michel 68 1996 Blowing up of non-commutative smooth surfaces. Zbl 0998.14002 Van den Bergh, Michel 67 2001 Semi-invariants of quivers for arbitrary dimension vectors. Zbl 1004.16012 Schofield, Aidan; Van den Bergh, Michel 60 2001 Calabi-Yau algebras and superpotentials. Zbl 1378.16016 Van den Bergh, Michel 56 2015 Hochschild cohomology and Atiyah classes. Zbl 1197.14017 Calaque, Damien; Van den Bergh, Michel 51 2010 Hochschild cohomology of Abelian categories and ringed spaces. Zbl 1095.13013 Lowen, Wendy; van den Bergh, Michel 50 2005 Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009 Crawley-Boevey, William; Van den Bergh, Michel 48 2004 Deformation theory of abelian categories. Zbl 1113.13009 Lowen, Wendy; van den Bergh, Michel 45 2006 Central extensions of three dimensional Artin-Schelter regular algebras. Zbl 0876.17019 Le Bruyn, Lieven; Smith, S. P.; Van den Bergh, Michel 44 1996 On two examples by Iyama and Yoshino. Zbl 1264.13016 Keller, Bernhard; Murfet, Daniel; Van den Bergh, Michel 43 2011 Two-dimensional tame and maximal orders of finite representation type. Zbl 0677.16002 Reiten, Idun; Van den Bergh, Michel 42 1989 The index of a Brauer class on a Brauer-Severi variety. Zbl 0778.12004 Schofield, Aidan; Van den Bergh, Michel 42 1992 Noncommutative homology of some three-dimensional quantum spaces. Zbl 0814.16006 Van den Bergh, Michel 41 1994 On the double of the Hall algebra of a quiver. Zbl 0955.16016 Sevenhant, Bert; Van den Bergh, Michel 36 1999 Non-commutative resolutions of quotient singularities for reductive groups. Zbl 1375.13007 Špenko, Špela; Van den Bergh, Michel 36 2017 A translation principle for the four-dimensional Sklyanin algebras. Zbl 0876.17011 Van den Bergh, Michel 35 1996 A relation between a conjecture of Kac and the structure of the Hall algebra. Zbl 1025.17006 Sevenhant, Bert; Van den Bergh, Michel 30 2001 Invariants under tori of rings of differential operators and related topics. Zbl 0928.16019 Musson, Ian M.; Van den Bergh, Michel 28 1998 Noncommutative resolutions and rational singularities. Zbl 1177.14026 Stafford, J. T.; Van den Bergh, M. 28 2008 Noncommutative quadrics. Zbl 1311.14003 Van den Bergh, Michel 26 2011 Non-commutative quasi-Hamiltonian spaces. Zbl 1236.58019 Van den Bergh, Michel 25 2008 Noncommutative quadric surfaces. Zbl 1290.14003 Smith, S. Paul; Van den Bergh, Michel 25 2013 A new algebraic approach to microlocalization of filtered rings. Zbl 0686.16002 Asensio, Maria J.; Van den Bergh, Michel; Van Oystaeyen, Freddy 24 1989 Non-commutative desingularization of determinantal varieties. I. Zbl 1204.14003 Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 23 2010 Non-commutative \(\mathbb{P}^{1}\)-bundles over commutative schemes. Zbl 1345.14009 Van den Bergh, M. 23 2012 A class of counterexamples to the Gel’fand-Kirillov conjecture. Zbl 0853.17006 Alev, Jacques; Ooms, Alfons; Van den Bergh, Michel 22 1996 Noncommutative motives of Azumaya algebras. Zbl 1356.14007 Tabuada, Gonçalo; Van den Bergh, Michel 22 2015 Ideal classes of three-dimensional Sklyanin algebras. Zbl 1064.16028 De Naeghel, Koen; van den Bergh, Michel 21 2004 On global deformation quantization in the algebraic case. Zbl 1133.14021 Van den Bergh, Michel 21 2007 A degree inequality for Lie algebras with a regular Poisson semi-center. Zbl 1254.17011 Ooms, A. I.; van den Bergh, M. 20 2010 Ideal classes of the Weyl algebra and noncommutative projective geometry (with an appendix by Michel Van den Bergh). Zbl 1055.16030 Berest, Yuri; Wilson, George 18 2002 An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves. Zbl 1504.14037 Rizzardo, Alice; Van den Bergh, Michel; Neeman, Amnon 17 2019 The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight. Zbl 0967.17007 Alev, Jacques; Ooms, Alfons I.; Van den Bergh, Michel 16 2000 A duality theorem for Hopf algebras. Zbl 0542.16007 Van den Bergh, Michel 15 1984 Căldăraru’s conjecture and Tsygan’s formality. Zbl 1252.18035 Calaque, Damien; Rossi, Carlo A.; Van den Bergh, Michel 15 2012 Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras. Zbl 0902.16035 Van Gastel, Martine; Van den Bergh, Michel 14 1997 On the derived category of Grassmannians in arbitrary characteristic. Zbl 1333.14017 Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 14 2015 Differential operators on semi-invariants for tori and weighted projective spaces. Zbl 0802.13005 van den Bergh, Michel 14 1991 Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh. 2nd edition. Zbl 1430.16001 Manin, Yuri I. 14 2018 Explicit models for some stable categories of maximal Cohen-Macaulay modules. Zbl 1362.16021 de Thanhoffer de Völcsey, Louis; Van den Bergh, Michel 12 2016 The Brauer Severi scheme of the trace ring of generic matrices. Zbl 0761.13003 Van den Bergh, Michel 12 1988 On quantum spaces of Lie algebras. Zbl 0795.16022 Le Bruyn, Lieven; Van den Bergh, Michel 12 1993 Ideal classes of three dimensional Artin-Schelter regular algebras. Zbl 1069.16033 De Naeghel, Koen; Van den Bergh, Michel 11 2005 Non-commutative desingularization of determinantal varieties. II: Arbitrary minors. Zbl 1434.14001 Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 11 2016 Lifting maximal orders. Zbl 0663.16004 Van den Bergh, M.; Van Oystaeyen, F. 11 1989 Local cohomology of modules of covariants. Zbl 0981.13002 van den Bergh, Michel 11 1999 The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary. Zbl 1405.16044 Raedschelders, Theo; Van den Bergh, Michel 10 2017 Modules of covariants. Zbl 0851.13001 Van den Bergh, Michel 10 1995 Noncommutative motives of separable algebras. Zbl 1378.16029 Tabuada, Gonçalo; Van den Bergh, Michel 10 2016 Non-commutative crepant resolutions for some toric singularities. I. Zbl 1457.14003 Špenko, Špela; Van den Bergh, Michel 10 2020 Cohen-Macaulayness of semi-invariants for tori. Zbl 0791.13003 Van den Bergh, Michel 10 1993 Algebraic properties of linear cellular automata. Zbl 0790.68083 Le Bruyn, L.; Van den Bergh, M. 10 1991 Calabi-Yau deformations and negative cyclic homology. Zbl 1422.14044 De Völcsey, Louis De Thanhoffer; van den Bergh, Michel 10 2018 Additive invariants of orbifolds. Zbl 1397.14005 Tabuada, Gonçalo; Van den Bergh, Michel 10 2018 Algebraic elements in division algebras over function fields of curves. Zbl 0596.12012 Van den Bergh, Michel; Van Geel, Jan 10 1985 Grothendieck groups and tilting objects. Zbl 0988.18008 Reiten, Idun; Van den Bergh, Michel 9 2001 Linearizations of binary and ternary forms. Zbl 0631.13007 Van den Bergh, M. 9 1987 The Kontsevich weight of a wheel with spokes pointing outward. Zbl 1191.14026 Van den Bergh, Michel 9 2009 Cohen-Macaulayness of modules of covariants. Zbl 0761.13004 Van den Bergh, Michel 9 1991 A Hochschild cohomology comparison theorem for prestacks. Zbl 1268.16009 Lowen, Wendy; Van den Bergh, Michel 9 2011 The Gysin triangle via localization and \(A^1\)-homotopy invariance. Zbl 1387.14018 Tabuada, Gonçalo; Van den Bergh, Michel 9 2018 Some rings of differential operators for \(\text{Sl}_ 2\)-invariants are simple. Zbl 0871.16014 Van den Bergh, Michel 8 1996 Trace rings of generic matrices are Cohen-Macaulay. Zbl 0697.20025 van den Bergh, Michel 8 1989 Note on derivations of graded rings and classification of differential polynomial rings. Zbl 0663.16001 Awami, M.; Van den Bergh, M.; Van Oystaeyen, F. 8 1988 Explicit rational forms for the Poincaré series of the trace rings of generic matrices. Zbl 0739.16019 Van den Bergh, Michel 8 1991 A duality theorem for orders in central simple algebras over function fields. Zbl 0529.16003 van den Bergh, M.; van Geel, J. 8 1984 A converse to Stanley’s conjecture for \(Sl_ 2\). Zbl 0817.13004 van den Bergh, Michel 8 1994 Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. Zbl 1470.14037 Polishchuk, Alexander; Van den Bergh, Michel 8 2019 Non-commutative crepant resolutions for some toric singularities. II. Zbl 1454.13011 Špenko, Špela; Van den Bergh, Michel 8 2020 Generalized crossed products applied to maximal orders, Brauer groups and related exact sequences. Zbl 0538.16003 Caenepeel, S.; van den Bergh, M.; van Oystaeyen, F. 7 1984 Hochschild (co)homology for Lie algebroids. Zbl 1215.14006 Calaque, Damien; Rossi, Carlo A.; van den Bergh, Michel 7 2010 The ramification divisor of regular tame orders. I. Zbl 0627.16002 Le Bruyn, L.; Van den Bergh, M. 7 1987 Division algebras on \(\mathbb{P}^2\) of odd index, ramified along a smooth elliptic curve are cyclic. Zbl 0891.16012 Van den Bergh, Michel 6 1995 Global dimension and regularity of Rees rings for non-Zariskian filtrations. Zbl 0722.16004 Li, Huishi; Van den Bergh, M.; Van Oystaeyen, F. 6 1990 A note on graded \(K\)-theory. Zbl 0602.16021 van den Bergh, M. 6 1986 Representations of non-commutative quantum groups. Zbl 1312.16033 Kriegk, Benoit; Van den Bergh, Michel 6 2015 Presentation of critical modules of GK-dimension 2 over elliptic algebras. Zbl 0990.16026 Ajitabh, K.; Van den Bergh, M. 5 1999 A \(k\)-linear triangulated category without a model. Zbl 1433.18009 Rizzardo, Alice; Van den Bergh, Michel 5 2020 The center of the generic division algebra. Zbl 0722.16010 Van den Bergh, Michel 5 1989 Regularity of trace rings of generic matrices. Zbl 0665.16011 Le Bruyn, Lieven; Van den Bergh, Michel 5 1988 Global formality at the \(G_{\infty }\)-level. Zbl 1205.14024 Calaque, Damien; Van den Bergh, M. 5 2010 Division algebra coproducts of index \(n\). Zbl 0813.16012 Van den Bergh, Michel; Schofield, Aidan 5 1994 The Frobenius morphism in invariant theory. Zbl 1430.14098 Raedschelders, Theo; Špenko, Špela; Van den Bergh, Michel 5 2019 Semi-orthogonal decompositions of GIT quotient stacks. Zbl 1468.14084 Špenko, Špela; Van den Bergh, Michel 4 2021 Noncommutative versions of some classical birational transformations. Zbl 1371.14005 Presotto, Dennis; Van den Bergh, Michel 4 2016 The \(B_\infty\)-structure on the derived endomorphism algebra of the unit in a monoidal category. Zbl 1505.18024 Lowen, Wendy; Van den Bergh, Michel 4 2023 The Frobenius morphism in invariant theory. II. Zbl 1504.14085 Raedschelders, Theo; Špenko, Špela; Van den Bergh, Michel 2 2022 New examples of non-Fourier-Mukai functors. Zbl 1498.13046 Raedschelders, Theo; Rizzardo, Alice; Van den Bergh, Michel 2 2022 On the noncommutative Bondal-Orlov conjecture for some toric varieties. Zbl 1490.14029 Špenko, Špela; Van den Bergh, Michel; Bell, Jason P. 1 2022 Perverse schobers and GKZ systems. Zbl 1494.13007 Špenko, Špela; Van den Bergh, Michel 1 2022 Semi-orthogonal decompositions of GIT quotient stacks. Zbl 1468.14084 Špenko, Špela; Van den Bergh, Michel 4 2021 Tilting bundles on hypertoric varieties. Zbl 1467.14053 Špenko, Špela; Van den Bergh, Michel 3 2021 Freely adjoining monoidal duals. Zbl 1495.18019 Coulembier, Kevin; Street, Ross; Van den Bergh, Michel 2 2021 t-structures and twisted complexes on derived injectives. Zbl 1475.18019 Genovese, Francesco; Lowen, Wendy; Van den Bergh, Michel 1 2021 Non-commutative crepant resolutions for some toric singularities. I. Zbl 1457.14003 Špenko, Špela; Van den Bergh, Michel 10 2020 Non-commutative crepant resolutions for some toric singularities. II. Zbl 1454.13011 Špenko, Špela; Van den Bergh, Michel 8 2020 A \(k\)-linear triangulated category without a model. Zbl 1433.18009 Rizzardo, Alice; Van den Bergh, Michel 5 2020 An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves. Zbl 1504.14037 Rizzardo, Alice; Van den Bergh, Michel; Neeman, Amnon 17 2019 Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. Zbl 1470.14037 Polishchuk, Alexander; Van den Bergh, Michel 8 2019 The Frobenius morphism in invariant theory. Zbl 1430.14098 Raedschelders, Theo; Špenko, Špela; Van den Bergh, Michel 5 2019 A note on non-unique enhancements. Zbl 1405.13029 Rizzardo, Alice; van den Bergh, Michel 3 2019 A non-commutative Bertini theorem. Zbl 1442.14010 Rennemo, Jørgen Vold; Segal, Ed; Van den Bergh, Michel 2 2019 Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh. 2nd edition. Zbl 1430.16001 Manin, Yuri I. 14 2018 Calabi-Yau deformations and negative cyclic homology. Zbl 1422.14044 De Völcsey, Louis De Thanhoffer; van den Bergh, Michel 10 2018 Additive invariants of orbifolds. Zbl 1397.14005 Tabuada, Gonçalo; Van den Bergh, Michel 10 2018 The Gysin triangle via localization and \(A^1\)-homotopy invariance. Zbl 1387.14018 Tabuada, Gonçalo; Van den Bergh, Michel 9 2018 Non-commutative resolutions of quotient singularities for reductive groups. Zbl 1375.13007 Špenko, Špela; Van den Bergh, Michel 36 2017 The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary. Zbl 1405.16044 Raedschelders, Theo; Van den Bergh, Michel 10 2017 The representation theory of non-commutative \(\mathcal{O}(\mathrm{GL}_2)\). Zbl 1383.16025 Raedschelders, Theo; Van den Bergh, Michel 2 2017 Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices. Zbl 1371.13011 Špenko, Špela; Van den Bergh, Michel 1 2017 Explicit models for some stable categories of maximal Cohen-Macaulay modules. Zbl 1362.16021 de Thanhoffer de Völcsey, Louis; Van den Bergh, Michel 12 2016 Non-commutative desingularization of determinantal varieties. II: Arbitrary minors. Zbl 1434.14001 Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 11 2016 Noncommutative motives of separable algebras. Zbl 1378.16029 Tabuada, Gonçalo; Van den Bergh, Michel 10 2016 Noncommutative versions of some classical birational transformations. Zbl 1371.14005 Presotto, Dennis; Van den Bergh, Michel 4 2016 Calabi-Yau algebras and superpotentials. Zbl 1378.16016 Van den Bergh, Michel 56 2015 Noncommutative motives of Azumaya algebras. Zbl 1356.14007 Tabuada, Gonçalo; Van den Bergh, Michel 22 2015 On the derived category of Grassmannians in arbitrary characteristic. Zbl 1333.14017 Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 14 2015 Representations of non-commutative quantum groups. Zbl 1312.16033 Kriegk, Benoit; Van den Bergh, Michel 6 2015 Scalar extensions of derived categories and non-Fourier-Mukai functors. Zbl 1333.13027 Rizzardo, Alice; Van den Bergh, Michel 4 2015 On involutivity of \(p\)-support. Zbl 1331.14005 Van den Bergh, Michel 3 2015 Commutative algebra and noncommutative algebraic geometry. Volume I: Expository articles. Zbl 1333.13002 1 2015 Commutative algebra and noncommutative algebraic geometry. Volume II: Research articles. Zbl 1333.13003 1 2015 Noncommutative quadric surfaces. Zbl 1290.14003 Smith, S. Paul; Van den Bergh, Michel 25 2013 Some new examples of nondegenerate quiver potentials. Zbl 1333.16018 de Thanhoffer de Völcsey, Louis; Van den Bergh, Michel 4 2013 On compact generation of deformed schemes. Zbl 1345.14023 Lowen, Wendy; Van den Bergh, Michel 2 2013 Non-commutative \(\mathbb{P}^{1}\)-bundles over commutative schemes. Zbl 1345.14009 Van den Bergh, M. 23 2012 Căldăraru’s conjecture and Tsygan’s formality. Zbl 1252.18035 Calaque, Damien; Rossi, Carlo A.; Van den Bergh, Michel 15 2012 Notes on formal deformations of abelian categories. Zbl 1291.14008 Van den Bergh, Michel 2 2012 Deformed Calabi-Yau completions. Zbl 1220.18012 Keller, Bernhard; Van den Bergh, Michel 111 2011 On two examples by Iyama and Yoshino. Zbl 1264.13016 Keller, Bernhard; Murfet, Daniel; Van den Bergh, Michel 43 2011 Noncommutative quadrics. Zbl 1311.14003 Van den Bergh, Michel 26 2011 A Hochschild cohomology comparison theorem for prestacks. Zbl 1268.16009 Lowen, Wendy; Van den Bergh, Michel 9 2011 Hochschild cohomology and Atiyah classes. Zbl 1197.14017 Calaque, Damien; Van den Bergh, Michel 51 2010 Non-commutative desingularization of determinantal varieties. I. Zbl 1204.14003 Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 23 2010 A degree inequality for Lie algebras with a regular Poisson semi-center. Zbl 1254.17011 Ooms, A. I.; van den Bergh, M. 20 2010 Hochschild (co)homology for Lie algebroids. Zbl 1215.14006 Calaque, Damien; Rossi, Carlo A.; van den Bergh, Michel 7 2010 Global formality at the \(G_{\infty }\)-level. Zbl 1205.14024 Calaque, Damien; Van den Bergh, M. 5 2010 The Kontsevich weight of a wheel with spokes pointing outward. Zbl 1191.14026 Van den Bergh, Michel 9 2009 Double Poisson algebras. Zbl 1157.53046 Van den Bergh, Michel 108 2008 Noncommutative resolutions and rational singularities. Zbl 1177.14026 Stafford, J. T.; Van den Bergh, M. 28 2008 Non-commutative quasi-Hamiltonian spaces. Zbl 1236.58019 Van den Bergh, Michel 25 2008 On global deformation quantization in the algebraic case. Zbl 1133.14021 Van den Bergh, Michel 21 2007 On incidence between strata of the Hilbert scheme of points on \(\mathbb{P}^{2}\). Zbl 1129.14007 De Naeghel, Koen; Van den Bergh, Michel 1 2007 Deformation theory of abelian categories. Zbl 1113.13009 Lowen, Wendy; van den Bergh, Michel 45 2006 Hochschild cohomology of Abelian categories and ringed spaces. Zbl 1095.13013 Lowen, Wendy; van den Bergh, Michel 50 2005 Ideal classes of three dimensional Artin-Schelter regular algebras. Zbl 1069.16033 De Naeghel, Koen; Van den Bergh, Michel 11 2005 Non-commutative crepant resolutions. Zbl 1082.14005 van den Bergh, Michel 139 2004 Three-dimensional flops and noncommutative rings. Zbl 1074.14013 Van den Bergh, Michel 133 2004 Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009 Crawley-Boevey, William; Van den Bergh, Michel 48 2004 Ideal classes of three-dimensional Sklyanin algebras. Zbl 1064.16028 De Naeghel, Koen; van den Bergh, Michel 21 2004 A remark on a theorem by Deligne. Zbl 1046.18008 Van den Bergh, M. 1 2004 Generators and representability of functors in commutative and noncommutative geometry. Zbl 1135.18302 Bondal, A.; van den Bergh, M. 240 2003 Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009 Reiten, I.; Van den Bergh, M. 165 2002 Ideal classes of the Weyl algebra and noncommutative projective geometry (with an appendix by Michel Van den Bergh). Zbl 1055.16030 Berest, Yuri; Wilson, George 18 2002 On the structure of non-commutative regular local rings of dimension two. Zbl 1048.16013 Van den Bergh, Michel; Van Gastel, Martine 1 2002 Noncommutative curves and noncommutative surfaces. Zbl 1042.16016 Stafford, J. T.; Van den Bergh, M. 91 2001 Blowing up of non-commutative smooth surfaces. Zbl 0998.14002 Van den Bergh, Michel 67 2001 Semi-invariants of quivers for arbitrary dimension vectors. Zbl 1004.16012 Schofield, Aidan; Van den Bergh, Michel 60 2001 A relation between a conjecture of Kac and the structure of the Hall algebra. Zbl 1025.17006 Sevenhant, Bert; Van den Bergh, Michel 30 2001 Grothendieck groups and tilting objects. Zbl 0988.18008 Reiten, Idun; Van den Bergh, Michel 9 2001 The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight. Zbl 0967.17007 Alev, Jacques; Ooms, Alfons I.; Van den Bergh, Michel 16 2000 Abstract blowing down. Zbl 0929.14004 Van den Bergh, Michel 2 2000 On the double of the Hall algebra of a quiver. Zbl 0955.16016 Sevenhant, Bert; Van den Bergh, Michel 36 1999 Local cohomology of modules of covariants. Zbl 0981.13002 van den Bergh, Michel 11 1999 Presentation of critical modules of GK-dimension 2 over elliptic algebras. Zbl 0990.16026 Ajitabh, K.; Van den Bergh, M. 5 1999 On the number of absolutely indecomposable representations of a quiver. Zbl 0965.16007 Sevenhant, Bert; Van den Bergh, Michel 3 1999 Semigroups of \(I\)-type. Zbl 0944.20049 Gateva-Ivanova, Tatiana; Van den Bergh, Michel 163 1998 A relation between Hochschild homology and cohomology for Gorenstein rings. Zbl 0894.16005 Van den Bergh, Michel 73 1998 Invariants under tori of rings of differential operators and related topics. Zbl 0928.16019 Musson, Ian M.; Van den Bergh, Michel 28 1998 Normalizing extensions of the two-Veronese of a three dimensional Artin-Schelter regular algebra on two generators. Zbl 0924.16018 Bauwens, Kristien; Van den Bergh, Michel 1 1998 Existence theorems for dualizing complexes over non-commutative graded and filtered rings. Zbl 0894.16020 Van den Bergh, Michel 110 1997 Simplicity of rings of differential operators in prime characteristic. Zbl 0948.16019 Smith, Karen E.; Van den Bergh, Michel 68 1997 Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras. Zbl 0902.16035 Van Gastel, Martine; Van den Bergh, Michel 14 1997 Homological properties of Sklyanin algebras. Zbl 0876.17010 Tate, John; Van den Bergh, Michel 68 1996 Central extensions of three dimensional Artin-Schelter regular algebras. Zbl 0876.17019 Le Bruyn, Lieven; Smith, S. P.; Van den Bergh, Michel 44 1996 A translation principle for the four-dimensional Sklyanin algebras. Zbl 0876.17011 Van den Bergh, Michel 35 1996 A class of counterexamples to the Gel’fand-Kirillov conjecture. Zbl 0853.17006 Alev, Jacques; Ooms, Alfons; Van den Bergh, Michel 22 1996 Some rings of differential operators for \(\text{Sl}_ 2\)-invariants are simple. Zbl 0871.16014 Van den Bergh, Michel 8 1996 Modules of covariants. Zbl 0851.13001 Van den Bergh, Michel 10 1995 Division algebras on \(\mathbb{P}^2\) of odd index, ramified along a smooth elliptic curve are cyclic. Zbl 0891.16012 Van den Bergh, Michel 6 1995 Noncommutative homology of some three-dimensional quantum spaces. Zbl 0814.16006 Van den Bergh, Michel 41 1994 A converse to Stanley’s conjecture for \(Sl_ 2\). Zbl 0817.13004 van den Bergh, Michel 8 1994 Division algebra coproducts of index \(n\). Zbl 0813.16012 Van den Bergh, Michel; Schofield, Aidan 5 1994 On quantum spaces of Lie algebras. Zbl 0795.16022 Le Bruyn, Lieven; Van den Bergh, Michel 12 1993 Cohen-Macaulayness of semi-invariants for tori. Zbl 0791.13003 Van den Bergh, Michel 10 1993 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,714 Authors 69 Van den Bergh, Michel 47 Zhang, James J. 37 Rump, Wolfgang 35 Jespers, Eric 31 Tabuada, Gonçalo 30 Iyama, Osamu 30 van Oystaeyen, Freddy 28 Smith, S. Paul 26 Okniński, Jan 25 Cedó, Ferran 24 Mori, Izuru 20 Rogalski, Daniel 18 Stafford, J. Toby 18 Vancliff, Michaela 18 Wemyss, Michael 18 Wu, Quanshui S. 17 Chan, Daniel 17 Nyman, Adam 17 Toda, Yukinobu 17 Ueyama, Kenta 16 Gateva-Ivanova, Tatiana 16 Keller, Bernhard 16 Le Bruyn, Lieven 16 Lowen, Wendy 16 Torrecillas Jover, Blas 15 Vendramin, Leandro 14 Catino, Francesco 14 Neeman, Amnon 14 Sierra, Susan J. 14 Smoktunowicz, Agata 14 Wang, Xingting 13 Jørgensen, Peter Bjørn 13 Katzarkov, Ludmil 13 Krause, Henning 13 Stefanelli, Paola 12 Ballard, Matthew Robert 12 Calaque, Damien 12 Chen, Xiaowu 12 He, Jiwei 12 Špenko, Špela 12 Yekutieli, Amnon 12 Zhang, Yinhuo 12 Zhou, Panyue 11 Mao, XueFeng 11 Qiu, Yu 11 Stellari, Paolo 10 Berger, Roland 10 Bocklandt, Raf 10 Caenepeel, Stefaan 10 Chirvăsitu, Alexandru 10 Etingof, Pavel Il’ich 10 Ingalls, Colin 10 Kirkman, Ellen E. 10 Li, Huishi 10 Lu, Di-Ming 10 Oppermann, Steffen 10 Reiten, Idun 10 Schedler, Travis 9 Buchweitz, Ragnar-Olaf 9 Derksen, Harm 9 Favero, David 9 Fei, Jiarui 9 Lunts, Valery A. 9 Makam, Visu 9 Ooms, Alfons I. 9 Orlov, Dmitri O. 9 Rodriguez-Villegas, Fernando 9 Takahashi, Ryo 9 van Roosmalen, Adam-Christiaan 9 Xiao, Jie 9 Zhang, Pu 8 Amiot, Claire 8 Ardizzoni, Alessandro 8 Bachiller, David 8 Banerjee, Abhishek 8 Belmans, Pieter 8 Brzeziński, Tomasz 8 Burban, Igor 8 Castelli, Marco 8 Chen, Xiaojun 8 Faber, Eleonore 8 Fairon, Maxime 8 Ginzburg, Victor 8 Nakajima, Yusuke 8 Nastasescu, Constantin 8 Reineke, Markus 8 Weyman, Jerzy M. 8 Ye, Yu 8 Zhang, Haicheng 7 Assem, Ibrahim 7 Berest, Yuri Yu. 7 Colazzo, Ilaria 7 Dao, Hailong 7 Dennunzio, Alberto 7 Formenti, Enrico 7 Gaddis, Jason 7 Hausel, Tamás 7 Letellier, Emmanuel 7 Majid, Shahn 7 Margara, Luciano ...and 1,614 more Authors all top 5 Cited in 222 Serials 428 Journal of Algebra 207 Advances in Mathematics 122 Journal of Pure and Applied Algebra 118 Communications in Algebra 76 Algebras and Representation Theory 75 Transactions of the American Mathematical Society 70 Mathematische Zeitschrift 52 Journal of Noncommutative Geometry 49 Proceedings of the American Mathematical Society 41 Selecta Mathematica. New Series 39 Journal of Algebra and its Applications 30 Journal of Geometry and Physics 29 Communications in Mathematical Physics 28 Compositio Mathematica 28 Inventiones Mathematicae 28 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Israel Journal of Mathematics 25 Journal für die Reine und Angewandte Mathematik 22 Duke Mathematical Journal 22 Mathematische Annalen 22 Applied Categorical Structures 21 Letters in Mathematical Physics 20 Transformation Groups 17 Geometry & Topology 16 Glasgow Mathematical Journal 15 Nagoya Mathematical Journal 14 Journal of High Energy Physics 13 Manuscripta Mathematica 13 Forum of Mathematics, Sigma 12 Annales de l’Institut Fourier 12 Proceedings of the London Mathematical Society. Third Series 12 International Journal of Algebra and Computation 12 Journal of Algebraic Geometry 12 Journal of the European Mathematical Society (JEMS) 12 Science China. Mathematics 11 Linear Algebra and its Applications 11 Documenta Mathematica 10 Journal of Mathematical Physics 10 Forum Mathematicum 10 European Journal of Mathematics 9 Journal of the London Mathematical Society. Second Series 9 Pacific Journal of Mathematics 9 \(K\)-Theory 9 Annals of Mathematics. Second Series 9 Journal of Topology 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Journal of the American Mathematical Society 8 Representation Theory 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Algebra & Number Theory 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Bulletin of the London Mathematical Society 7 Memoirs of the American Mathematical Society 7 Journal of Mathematical Sciences (New York) 7 Oberwolfach Reports 6 Russian Mathematical Surveys 6 Canadian Mathematical Bulletin 6 Michigan Mathematical Journal 6 Revista Matemática Iberoamericana 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Advances in Applied Clifford Algebras 6 Acta Mathematica Sinica. English Series 6 Journal of the Institute of Mathematics of Jussieu 6 Journal of \(K\)-Theory 6 Kyoto Journal of Mathematics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Illinois Journal of Mathematics 5 Journal of Symbolic Computation 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Central European Journal of Mathematics 5 Frontiers of Mathematics in China 4 Archiv der Mathematik 4 Collectanea Mathematica 4 Colloquium Mathematicum 4 Information Sciences 4 Publications Mathématiques 4 Chinese Annals of Mathematics. Series B 4 International Journal of Mathematics 4 IMRN. International Mathematics Research Notices 4 Algebra Colloquium 4 Bulletin des Sciences Mathématiques 4 Theory and Applications of Categories 4 Communications in Contemporary Mathematics 4 Annales Henri Lebesgue 3 Linear and Multilinear Algebra 3 Arkiv för Matematik 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Acta Mathematica Vietnamica 3 Bulletin de la Société Mathématique de France 3 Functional Analysis and its Applications 3 Journal of the Korean Mathematical Society 3 Osaka Journal of Mathematics 3 Results in Mathematics 3 Semigroup Forum 3 Tôhoku Mathematical Journal. Second Series 3 Indagationes Mathematicae. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Algebraic Combinatorics 3 St. Petersburg Mathematical Journal 3 Advances in Geometry ...and 122 more Serials all top 5 Cited in 49 Fields 1,520 Associative rings and algebras (16-XX) 935 Algebraic geometry (14-XX) 632 Category theory; homological algebra (18-XX) 338 Commutative algebra (13-XX) 334 Nonassociative rings and algebras (17-XX) 199 Group theory and generalizations (20-XX) 149 Quantum theory (81-XX) 145 Differential geometry (53-XX) 56 Combinatorics (05-XX) 55 \(K\)-theory (19-XX) 54 Algebraic topology (55-XX) 52 Global analysis, analysis on manifolds (58-XX) 51 Number theory (11-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 44 Several complex variables and analytic spaces (32-XX) 41 Functional analysis (46-XX) 33 Manifolds and cell complexes (57-XX) 31 Dynamical systems and ergodic theory (37-XX) 29 Computer science (68-XX) 25 Field theory and polynomials (12-XX) 17 Topological groups, Lie groups (22-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 11 Convex and discrete geometry (52-XX) 11 Relativity and gravitational theory (83-XX) 9 General and overarching topics; collections (00-XX) 8 Mathematical logic and foundations (03-XX) 6 General algebraic systems (08-XX) 6 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 5 Operations research, mathematical programming (90-XX) 4 Special functions (33-XX) 4 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 3 Information and communication theory, circuits (94-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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