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: 136 Publications since 1984, including 3 Books 7 Contributions as Editor · 2 Further Contributions Co-Authors: 66 Co-Authors with 104 Joint Publications 1,135 Co-Co-Authors all top 5 Co-Authors 40 single-authored 11 Špenko, Špela 9 van Oystaeyen, Freddy 8 Stafford, J. Toby 7 Le Bruyn, Lieven 6 Lowen, Wendy 6 Raedschelders, Theo 5 Rizzardo, Alice 5 Tabuada, Gonçalo 4 Calaque, Damien 4 de Thanhoffer de Völcsey, Louis 3 Artin, Michael 3 Buchweitz, Ragnar-Olaf 3 De Naeghel, Koen 3 Leuschke, Graham J. 3 Ooms, Alfons I. 3 Reineke, Markus 3 Reiten, Idun 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 Happel, Dieter 2 Iyengar, Srikanth B. 2 Keller, Bernhard 2 Li, Huishi 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 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 Genovese, Francesco 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 Presotto, Dennis 1 Rennemo, Jørgen Vold 1 Segal, Ed 1 Smith, Karen E. 1 Street, Ross H. 1 Wilson, George all top 5 Serials 19 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 MSCS. 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 CRM Short Courses all top 5 Fields 97 Associative rings and algebras (16-XX) 85 Algebraic geometry (14-XX) 40 Category theory; homological algebra (18-XX) 34 Commutative algebra (13-XX) 17 Nonassociative rings and algebras (17-XX) 14 Group theory and generalizations (20-XX) 7 General and overarching topics; collections (00-XX) 7 Differential geometry (53-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Number theory (11-XX) 5 Field theory and polynomials (12-XX) 5 \(K\)-theory (19-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Combinatorics (05-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 3,260 times in 2,112 Documents Cited by ▼ Year ▼ Generators and representability of functors in commutative and noncommutative geometry. Zbl 1135.18302Bondal, A.; van den Bergh, M. 216 2003 Some algebras associated to automorphisms of elliptic curves. Zbl 0744.14024Artin, M.; Tate, J.; Van den Bergh, M. 214 1990 Modules over regular algebras of dimension 3. Zbl 0763.14001Artin, M.; Tate, J.; Van den Bergh, M. 165 1991 Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009Reiten, I.; Van den Bergh, M. 155 2002 Semigroups of \(I\)-type. Zbl 0944.20049Gateva-Ivanova, Tatiana; Van den Bergh, Michel 142 1998 Non-commutative crepant resolutions. Zbl 1082.14005van den Bergh, Michel 127 2004 Three-dimensional flops and noncommutative rings. Zbl 1074.14013Van den Bergh, Michel 116 2004 Existence theorems for dualizing complexes over non-commutative graded and filtered rings. Zbl 0894.16020Van den Bergh, Michel 108 1997 Double Poisson algebras. Zbl 1157.53046Van den Bergh, Michel 95 2008 Twisted homogeneous coordinate rings. Zbl 0717.14001Artin, M.; Van den Bergh, M. 87 1990 Noncommutative curves and noncommutative surfaces. Zbl 1042.16016Stafford, J. T.; Van den Bergh, M. 85 2001 Deformed Calabi-Yau completions. Zbl 1220.18012Keller, Bernhard; Van den Bergh, Michel 78 2011 Separable functors applied to graded rings. Zbl 0673.16026Năstăsescu, C.; Van den Bergh, M.; Van Oystaeyen, F. 70 1989 A relation between Hochschild homology and cohomology for Gorenstein rings. Zbl 0894.16005Van den Bergh, Michel 66 1998 Simplicity of rings of differential operators in prime characteristic. Zbl 0948.16019Smith, Karen E.; Van den Bergh, Michel 63 1997 Blowing up of non-commutative smooth surfaces. Zbl 0998.14002Van den Bergh, Michel 62 2001 Homological properties of Sklyanin algebras. Zbl 0876.17010Tate, John; Van den Bergh, Michel 61 1996 Semi-invariants of quivers for arbitrary dimension vectors. Zbl 1004.16012Schofield, Aidan; Van den Bergh, Michel 56 2001 Hochschild cohomology and Atiyah classes. Zbl 1197.14017Calaque, Damien; Van den Bergh, Michel 48 2010 Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009Crawley-Boevey, William; Van den Bergh, Michel 47 2004 Calabi-Yau algebras and superpotentials. Zbl 1378.16016Van den Bergh, Michel 46 2015 Hochschild cohomology of Abelian categories and ringed spaces. Zbl 1095.13013Lowen, Wendy; van den Bergh, Michel 44 2005 Deformation theory of abelian categories. Zbl 1113.13009Lowen, Wendy; van den Bergh, Michel 41 2006 Central extensions of three dimensional Artin-Schelter regular algebras. Zbl 0876.17019Le Bruyn, Lieven; Smith, S. P.; Van den Bergh, Michel 41 1996 The index of a Brauer class on a Brauer-Severi variety. Zbl 0778.12004Schofield, Aidan; Van den Bergh, Michel 40 1992 On two examples by Iyama and Yoshino. Zbl 1264.13016Keller, Bernhard; Murfet, Daniel; Van den Bergh, Michel 40 2011 Noncommutative homology of some three-dimensional quantum spaces. Zbl 0814.16006Van den Bergh, Michel 40 1994 Two-dimensional tame and maximal orders of finite representation type. Zbl 0677.16002Reiten, Idun; Van den Bergh, Michel 35 1989 On the double of the Hall algebra of a quiver. Zbl 0955.16016Sevenhant, Bert; Van den Bergh, Michel 33 1999 A translation principle for the four-dimensional Sklyanin algebras. Zbl 0876.17011Van den Bergh, Michel 32 1996 A relation between a conjecture of Kac and the structure of the Hall algebra. Zbl 1025.17006Sevenhant, Bert; Van den Bergh, Michel 29 2001 Non-commutative resolutions of quotient singularities for reductive groups. Zbl 1375.13007Špenko, Špela; Van den Bergh, Michel 26 2017 Noncommutative resolutions and rational singularities. Zbl 1177.14026Stafford, J. T.; Van den Bergh, M. 24 2008 A new algebraic approach to microlocalization of filtered rings. Zbl 0686.16002Asensio, Maria J.; Van den Bergh, Michel; Van Oystaeyen, Freddy 24 1989 Noncommutative quadric surfaces. Zbl 1290.14003Smith, S. Paul; Van den Bergh, Michel 24 2013 Invariants under tori of rings of differential operators and related topics. Zbl 0928.16019Musson, Ian M.; Van den Bergh, Michel 23 1998 Non-commutative \(\mathbb{P}^{1}\)-bundles over commutative schemes. Zbl 1345.14009Van den Bergh, M. 23 2012 Noncommutative quadrics. Zbl 1311.14003Van den Bergh, Michel 23 2011 Non-commutative desingularization of determinantal varieties. I. Zbl 1204.14003Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 21 2010 Non-commutative quasi-Hamiltonian spaces. Zbl 1236.58019Van den Bergh, Michel 20 2008 Noncommutative motives of Azumaya algebras. Zbl 1356.14007Tabuada, Gonçalo; Van den Bergh, Michel 20 2015 Ideal classes of three-dimensional Sklyanin algebras. Zbl 1064.16028De Naeghel, Koen; van den Bergh, Michel 20 2004 A degree inequality for Lie algebras with a regular Poisson semi-center. Zbl 1254.17011Ooms, A. I.; van den Bergh, M. 20 2010 On global deformation quantization in the algebraic case. Zbl 1133.14021Van den Bergh, Michel 19 2007 A class of counterexamples to the Gel’fand-Kirillov conjecture. Zbl 0853.17006Alev, Jacques; Ooms, Alfons; Van den Bergh, Michel 18 1996 Ideal classes of the Weyl algebra and noncommutative projective geometry (with an appendix by Michel Van den Bergh). Zbl 1055.16030Berest, Yuri; Wilson, George 17 2002 An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves. Zbl 1504.14037Rizzardo, Alice; Van den Bergh, Michel; Neeman, Amnon 15 2019 Differential operators on semi-invariants for tori and weighted projective spaces. Zbl 0802.13005van den Bergh, Michel 14 1991 Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras. Zbl 0902.16035Van Gastel, Martine; Van den Bergh, Michel 14 1997 The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight. Zbl 0967.17007Alev, Jacques; Ooms, Alfons I.; Van den Bergh, Michel 14 2000 Explicit models for some stable categories of maximal Cohen-Macaulay modules. Zbl 1362.16021de Thanhoffer de Völcsey, Louis; Van den Bergh, Michel 12 2016 Căldăraru’s conjecture and Tsygan’s formality. Zbl 1252.18035Calaque, Damien; Rossi, Carlo A.; Van den Bergh, Michel 12 2012 The Brauer Severi scheme of the trace ring of generic matrices. Zbl 0761.13003Van den Bergh, Michel 11 1988 Lifting maximal orders. Zbl 0663.16004Van den Bergh, M.; Van Oystaeyen, F. 11 1989 On quantum spaces of Lie algebras. Zbl 0795.16022Le Bruyn, Lieven; Van den Bergh, Michel 11 1993 A duality theorem for Hopf algebras. Zbl 0542.16007Van den Bergh, Michel 11 1984 On the derived category of Grassmannians in arbitrary characteristic. Zbl 1333.14017Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 11 2015 Ideal classes of three dimensional Artin-Schelter regular algebras. Zbl 1069.16033De Naeghel, Koen; Van den Bergh, Michel 11 2005 Algebraic elements in division algebras over function fields of curves. Zbl 0596.12012Van den Bergh, Michel; Van Geel, Jan 10 1985 Non-commutative desingularization of determinantal varieties. II: Arbitrary minors. Zbl 1434.14001Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 10 2016 Cohen-Macaulayness of semi-invariants for tori. Zbl 0791.13003Van den Bergh, Michel 9 1993 The Kontsevich weight of a wheel with spokes pointing outward. Zbl 1191.14026Van den Bergh, Michel 9 2009 Noncommutative motives of separable algebras. Zbl 1378.16029Tabuada, Gonçalo; Van den Bergh, Michel 9 2016 Linearizations of binary and ternary forms. Zbl 0631.13007Van den Bergh, M. 9 1987 Modules of covariants. Zbl 0851.13001Van den Bergh, Michel 9 1995 Calabi-Yau deformations and negative cyclic homology. Zbl 1422.14044De Völcsey, Louis De Thanhoffer; van den Bergh, Michel 9 2018 Grothendieck groups and tilting objects. Zbl 0988.18008Reiten, Idun; Van den Bergh, Michel 9 2001 Algebraic properties of linear cellular automata. Zbl 0790.68083Le Bruyn, L.; Van den Bergh, M. 8 1991 Explicit rational forms for the Poincaré series of the trace rings of generic matrices. Zbl 0739.16019Van den Bergh, Michel 8 1991 Cohen-Macaulayness of modules of covariants. Zbl 0761.13004Van den Bergh, Michel 8 1991 The Gysin triangle via localization and \(A^1\)-homotopy invariance. Zbl 1387.14018Tabuada, Gonçalo; Van den Bergh, Michel 8 2018 Local cohomology of modules of covariants. Zbl 0981.13002van den Bergh, Michel 8 1999 A Hochschild cohomology comparison theorem for prestacks. Zbl 1268.16009Lowen, Wendy; Van den Bergh, Michel 8 2011 Note on derivations of graded rings and classification of differential polynomial rings. Zbl 0663.16001Awami, M.; Van den Bergh, M.; Van Oystaeyen, F. 8 1988 Some rings of differential operators for \(\text{Sl}_ 2\)-invariants are simple. Zbl 0871.16014Van den Bergh, Michel 8 1996 Trace rings of generic matrices are Cohen-Macaulay. Zbl 0697.20025van den Bergh, Michel 8 1989 Non-commutative crepant resolutions for some toric singularities. I. Zbl 1457.14003Špenko, Špela; Van den Bergh, Michel 8 2020 Additive invariants of orbifolds. Zbl 1397.14005Tabuada, Gonçalo; Van den Bergh, Michel 8 2018 The ramification divisor of regular tame orders. I. Zbl 0627.16002Le Bruyn, L.; Van den Bergh, M. 7 1987 Hochschild (co)homology for Lie algebroids. Zbl 1215.14006Calaque, Damien; Rossi, Carlo A.; van den Bergh, Michel 7 2010 A converse to Stanley’s conjecture for \(Sl_ 2\). Zbl 0817.13004van den Bergh, Michel 7 1994 A duality theorem for orders in central simple algebras over function fields. Zbl 0529.16003van den Bergh, M.; van Geel, J. 7 1984 Generalized crossed products applied to maximal orders, Brauer groups and related exact sequences. Zbl 0538.16003Caenepeel, S.; van den Bergh, M.; van Oystaeyen, F. 7 1984 The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary. Zbl 1405.16044Raedschelders, Theo; Van den Bergh, Michel 6 2017 Representations of non-commutative quantum groups. Zbl 1312.16033Kriegk, Benoit; Van den Bergh, Michel 6 2015 Global dimension and regularity of Rees rings for non-Zariskian filtrations. Zbl 0722.16004Li, Huishi; Van den Bergh, M.; Van Oystaeyen, F. 6 1990 Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. Zbl 1470.14037Polishchuk, Alexander; Van den Bergh, Michel 6 2019 Non-commutative crepant resolutions for some toric singularities. II. Zbl 1454.13011Špenko, Špela; Van den Bergh, Michel 6 2020 A note on graded \(K\)-theory. Zbl 0602.16021van den Bergh, M. 5 1986 The center of the generic division algebra. Zbl 0722.16010Van den Bergh, Michel 5 1989 Presentation of critical modules of GK-dimension 2 over elliptic algebras. Zbl 0990.16026Ajitabh, K.; Van den Bergh, M. 5 1999 Global formality at the \(G_{\infty }\)-level. Zbl 1205.14024Calaque, Damien; Van den Bergh, M. 5 2010 Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh. 2nd edition. Zbl 1430.16001Manin, Yuri I. 5 2018 Division algebra coproducts of index \(n\). Zbl 0813.16012Van den Bergh, Michel; Schofield, Aidan 4 1994 Division algebras on \(\mathbb{P}^2\) of odd index, ramified along a smooth elliptic curve are cyclic. Zbl 0891.16012Van den Bergh, Michel 4 1995 A \(k\)-linear triangulated category without a model. Zbl 1433.18009Rizzardo, Alice; Van den Bergh, Michel 4 2020 On Schur rings of group rings of finite groups. Zbl 0779.20002Apostolopoulos, C.; Van den Bergh, M.; Van Oystaeyen, F. 3 1992 Scalar extensions of derived categories and non-Fourier-Mukai functors. Zbl 1333.13027Rizzardo, Alice; Van den Bergh, Michel 3 2015 Regularity of trace rings of generic matrices. Zbl 0665.16011Le Bruyn, Lieven; Van den Bergh, Michel 3 1988 On involutivity of \(p\)-support. Zbl 1331.14005Van den Bergh, Michel 3 2015 The \(B_\infty\)-structure on the derived endomorphism algebra of the unit in a monoidal category. Zbl 1505.18024Lowen, Wendy; Van den Bergh, Michel 1 2023 New examples of non-Fourier-Mukai functors. Zbl 1498.13046Raedschelders, Theo; Rizzardo, Alice; Van den Bergh, Michel 1 2022 The Frobenius morphism in invariant theory. II. Zbl 1504.14085Raedschelders, Theo; Špenko, Špela; Van den Bergh, Michel 1 2022 Freely adjoining monoidal duals. Zbl 1495.18019Coulembier, Kevin; Street, Ross; Van den Bergh, Michel 2 2021 Semi-orthogonal decompositions of GIT quotient stacks. Zbl 1468.14084Špenko, Špela; Van den Bergh, Michel 2 2021 Non-commutative crepant resolutions for some toric singularities. I. Zbl 1457.14003Špenko, Špela; Van den Bergh, Michel 8 2020 Non-commutative crepant resolutions for some toric singularities. II. Zbl 1454.13011Špenko, Špela; Van den Bergh, Michel 6 2020 A \(k\)-linear triangulated category without a model. Zbl 1433.18009Rizzardo, Alice; Van den Bergh, Michel 4 2020 An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves. Zbl 1504.14037Rizzardo, Alice; Van den Bergh, Michel; Neeman, Amnon 15 2019 Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. Zbl 1470.14037Polishchuk, Alexander; Van den Bergh, Michel 6 2019 A note on non-unique enhancements. Zbl 1405.13029Rizzardo, Alice; van den Bergh, Michel 3 2019 The Frobenius morphism in invariant theory. Zbl 1430.14098Raedschelders, Theo; Špenko, Špela; Van den Bergh, Michel 3 2019 A non-commutative Bertini theorem. Zbl 1442.14010Rennemo, Jørgen Vold; Segal, Ed; Van den Bergh, Michel 2 2019 Calabi-Yau deformations and negative cyclic homology. Zbl 1422.14044De Völcsey, Louis De Thanhoffer; van den Bergh, Michel 9 2018 The Gysin triangle via localization and \(A^1\)-homotopy invariance. Zbl 1387.14018Tabuada, Gonçalo; Van den Bergh, Michel 8 2018 Additive invariants of orbifolds. Zbl 1397.14005Tabuada, Gonçalo; Van den Bergh, Michel 8 2018 Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh. 2nd edition. Zbl 1430.16001Manin, Yuri I. 5 2018 Non-commutative resolutions of quotient singularities for reductive groups. Zbl 1375.13007Špenko, Špela; Van den Bergh, Michel 26 2017 The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary. Zbl 1405.16044Raedschelders, Theo; Van den Bergh, Michel 6 2017 The representation theory of non-commutative \(\mathcal{O}(\mathrm{GL}_2)\). Zbl 1383.16025Raedschelders, Theo; Van den Bergh, Michel 2 2017 Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices. Zbl 1371.13011Špenko, Špela; Van den Bergh, Michel 1 2017 Explicit models for some stable categories of maximal Cohen-Macaulay modules. Zbl 1362.16021de Thanhoffer de Völcsey, Louis; Van den Bergh, Michel 12 2016 Non-commutative desingularization of determinantal varieties. II: Arbitrary minors. Zbl 1434.14001Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 10 2016 Noncommutative motives of separable algebras. Zbl 1378.16029Tabuada, Gonçalo; Van den Bergh, Michel 9 2016 Noncommutative versions of some classical birational transformations. Zbl 1371.14005Presotto, Dennis; Van den Bergh, Michel 3 2016 Calabi-Yau algebras and superpotentials. Zbl 1378.16016Van den Bergh, Michel 46 2015 Noncommutative motives of Azumaya algebras. Zbl 1356.14007Tabuada, Gonçalo; Van den Bergh, Michel 20 2015 On the derived category of Grassmannians in arbitrary characteristic. Zbl 1333.14017Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 11 2015 Representations of non-commutative quantum groups. Zbl 1312.16033Kriegk, Benoit; Van den Bergh, Michel 6 2015 Scalar extensions of derived categories and non-Fourier-Mukai functors. Zbl 1333.13027Rizzardo, Alice; Van den Bergh, Michel 3 2015 On involutivity of \(p\)-support. Zbl 1331.14005Van den Bergh, Michel 3 2015 Noncommutative quadric surfaces. Zbl 1290.14003Smith, S. Paul; Van den Bergh, Michel 24 2013 Some new examples of nondegenerate quiver potentials. Zbl 1333.16018de Thanhoffer de Völcsey, Louis; Van den Bergh, Michel 2 2013 On compact generation of deformed schemes. Zbl 1345.14023Lowen, Wendy; Van den Bergh, Michel 2 2013 Non-commutative \(\mathbb{P}^{1}\)-bundles over commutative schemes. Zbl 1345.14009Van den Bergh, M. 23 2012 Căldăraru’s conjecture and Tsygan’s formality. Zbl 1252.18035Calaque, Damien; Rossi, Carlo A.; Van den Bergh, Michel 12 2012 Notes on formal deformations of abelian categories. Zbl 1291.14008Van den Bergh, Michel 2 2012 Deformed Calabi-Yau completions. Zbl 1220.18012Keller, Bernhard; Van den Bergh, Michel 78 2011 On two examples by Iyama and Yoshino. Zbl 1264.13016Keller, Bernhard; Murfet, Daniel; Van den Bergh, Michel 40 2011 Noncommutative quadrics. Zbl 1311.14003Van den Bergh, Michel 23 2011 A Hochschild cohomology comparison theorem for prestacks. Zbl 1268.16009Lowen, Wendy; Van den Bergh, Michel 8 2011 Hochschild cohomology and Atiyah classes. Zbl 1197.14017Calaque, Damien; Van den Bergh, Michel 48 2010 Non-commutative desingularization of determinantal varieties. I. Zbl 1204.14003Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel 21 2010 A degree inequality for Lie algebras with a regular Poisson semi-center. Zbl 1254.17011Ooms, A. I.; van den Bergh, M. 20 2010 Hochschild (co)homology for Lie algebroids. Zbl 1215.14006Calaque, Damien; Rossi, Carlo A.; van den Bergh, Michel 7 2010 Global formality at the \(G_{\infty }\)-level. Zbl 1205.14024Calaque, Damien; Van den Bergh, M. 5 2010 The Kontsevich weight of a wheel with spokes pointing outward. Zbl 1191.14026Van den Bergh, Michel 9 2009 Double Poisson algebras. Zbl 1157.53046Van den Bergh, Michel 95 2008 Noncommutative resolutions and rational singularities. Zbl 1177.14026Stafford, J. T.; Van den Bergh, M. 24 2008 Non-commutative quasi-Hamiltonian spaces. Zbl 1236.58019Van den Bergh, Michel 20 2008 On global deformation quantization in the algebraic case. Zbl 1133.14021Van den Bergh, Michel 19 2007 On incidence between strata of the Hilbert scheme of points on \(\mathbb{P}^{2}\). Zbl 1129.14007De Naeghel, Koen; Van den Bergh, Michel 1 2007 Deformation theory of abelian categories. Zbl 1113.13009Lowen, Wendy; van den Bergh, Michel 41 2006 Hochschild cohomology of Abelian categories and ringed spaces. Zbl 1095.13013Lowen, Wendy; van den Bergh, Michel 44 2005 Ideal classes of three dimensional Artin-Schelter regular algebras. Zbl 1069.16033De Naeghel, Koen; Van den Bergh, Michel 11 2005 Non-commutative crepant resolutions. Zbl 1082.14005van den Bergh, Michel 127 2004 Three-dimensional flops and noncommutative rings. Zbl 1074.14013Van den Bergh, Michel 116 2004 Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima). Zbl 1065.16009Crawley-Boevey, William; Van den Bergh, Michel 47 2004 Ideal classes of three-dimensional Sklyanin algebras. Zbl 1064.16028De Naeghel, Koen; van den Bergh, Michel 20 2004 A remark on a theorem by Deligne. Zbl 1046.18008Van den Bergh, M. 1 2004 Generators and representability of functors in commutative and noncommutative geometry. Zbl 1135.18302Bondal, A.; van den Bergh, M. 216 2003 Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009Reiten, I.; Van den Bergh, M. 155 2002 Ideal classes of the Weyl algebra and noncommutative projective geometry (with an appendix by Michel Van den Bergh). Zbl 1055.16030Berest, Yuri; Wilson, George 17 2002 On the structure of non-commutative regular local rings of dimension two. Zbl 1048.16013Van den Bergh, Michel; Van Gastel, Martine 1 2002 Noncommutative curves and noncommutative surfaces. Zbl 1042.16016Stafford, J. T.; Van den Bergh, M. 85 2001 Blowing up of non-commutative smooth surfaces. Zbl 0998.14002Van den Bergh, Michel 62 2001 Semi-invariants of quivers for arbitrary dimension vectors. Zbl 1004.16012Schofield, Aidan; Van den Bergh, Michel 56 2001 A relation between a conjecture of Kac and the structure of the Hall algebra. Zbl 1025.17006Sevenhant, Bert; Van den Bergh, Michel 29 2001 Grothendieck groups and tilting objects. Zbl 0988.18008Reiten, Idun; Van den Bergh, Michel 9 2001 The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight. Zbl 0967.17007Alev, Jacques; Ooms, Alfons I.; Van den Bergh, Michel 14 2000 Abstract blowing down. Zbl 0929.14004Van den Bergh, Michel 2 2000 On the double of the Hall algebra of a quiver. Zbl 0955.16016Sevenhant, Bert; Van den Bergh, Michel 33 1999 Local cohomology of modules of covariants. Zbl 0981.13002van den Bergh, Michel 8 1999 Presentation of critical modules of GK-dimension 2 over elliptic algebras. Zbl 0990.16026Ajitabh, K.; Van den Bergh, M. 5 1999 On the number of absolutely indecomposable representations of a quiver. Zbl 0965.16007Sevenhant, Bert; Van den Bergh, Michel 3 1999 Semigroups of \(I\)-type. Zbl 0944.20049Gateva-Ivanova, Tatiana; Van den Bergh, Michel 142 1998 A relation between Hochschild homology and cohomology for Gorenstein rings. Zbl 0894.16005Van den Bergh, Michel 66 1998 Invariants under tori of rings of differential operators and related topics. Zbl 0928.16019Musson, Ian M.; Van den Bergh, Michel 23 1998 Normalizing extensions of the two-Veronese of a three dimensional Artin-Schelter regular algebra on two generators. Zbl 0924.16018Bauwens, Kristien; Van den Bergh, Michel 1 1998 Existence theorems for dualizing complexes over non-commutative graded and filtered rings. Zbl 0894.16020Van den Bergh, Michel 108 1997 Simplicity of rings of differential operators in prime characteristic. Zbl 0948.16019Smith, Karen E.; Van den Bergh, Michel 63 1997 Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras. Zbl 0902.16035Van Gastel, Martine; Van den Bergh, Michel 14 1997 Homological properties of Sklyanin algebras. Zbl 0876.17010Tate, John; Van den Bergh, Michel 61 1996 Central extensions of three dimensional Artin-Schelter regular algebras. Zbl 0876.17019Le Bruyn, Lieven; Smith, S. P.; Van den Bergh, Michel 41 1996 A translation principle for the four-dimensional Sklyanin algebras. Zbl 0876.17011Van den Bergh, Michel 32 1996 A class of counterexamples to the Gel’fand-Kirillov conjecture. Zbl 0853.17006Alev, Jacques; Ooms, Alfons; Van den Bergh, Michel 18 1996 Some rings of differential operators for \(\text{Sl}_ 2\)-invariants are simple. Zbl 0871.16014Van den Bergh, Michel 8 1996 Modules of covariants. Zbl 0851.13001Van den Bergh, Michel 9 1995 Division algebras on \(\mathbb{P}^2\) of odd index, ramified along a smooth elliptic curve are cyclic. Zbl 0891.16012Van den Bergh, Michel 4 1995 Noncommutative homology of some three-dimensional quantum spaces. Zbl 0814.16006Van den Bergh, Michel 40 1994 A converse to Stanley’s conjecture for \(Sl_ 2\). Zbl 0817.13004van den Bergh, Michel 7 1994 Division algebra coproducts of index \(n\). Zbl 0813.16012Van den Bergh, Michel; Schofield, Aidan 4 1994 On quantum spaces of Lie algebras. Zbl 0795.16022Le Bruyn, Lieven; Van den Bergh, Michel 11 1993 Cohen-Macaulayness of semi-invariants for tori. Zbl 0791.13003Van den Bergh, Michel 9 1993 Artinian quotient rings of filtered rings. Zbl 0806.16045Jensen, Anders; Jøndrup, Søren; Van den Bergh, Michel 2 1993 The index of a Brauer class on a Brauer-Severi variety. Zbl 0778.12004Schofield, Aidan; Van den Bergh, Michel 40 1992 On Schur rings of group rings of finite groups. Zbl 0779.20002Apostolopoulos, C.; Van den Bergh, M.; Van Oystaeyen, F. 3 1992 Modules over regular algebras of dimension 3. Zbl 0763.14001Artin, M.; Tate, J.; Van den Bergh, M. 165 1991 Differential operators on semi-invariants for tori and weighted projective spaces. Zbl 0802.13005van den Bergh, Michel 14 1991 Algebraic properties of linear cellular automata. Zbl 0790.68083Le Bruyn, L.; Van den Bergh, M. 8 1991 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,564 Authors 68 Van den Bergh, Michel 46 Zhang, James J. 35 Jespers, Eric 31 Rump, Wolfgang 30 Tabuada, Gonçalo 29 van Oystaeyen, Freddy 28 Iyama, Osamu 27 Smith, S. Paul 26 Okniński, Jan 24 Cedó, Ferran 23 Mori, Izuru 19 Rogalski, Daniel 18 Vancliff, Michaela 17 Stafford, J. Toby 17 Ueyama, Kenta 16 Le Bruyn, Lieven 16 Lowen, Wendy 16 Torrecillas Jover, Blas 16 Wemyss, Michael 15 Chan, Daniel 15 Gateva-Ivanova, Tatiana 15 Nyman, Adam 15 Wu, Quanshui S. 14 Catino, Francesco 13 Katzarkov, Ludmil 13 Keller, Bernhard 13 Krause, Henning 13 Sierra, Susan J. 13 Smoktunowicz, Agata 13 Stefanelli, Paola 13 Toda, Yukinobu 12 Ballard, Matthew Robert 12 Chen, Xiaowu 12 He, Jiwei 12 Vendramin, Leandro 12 Wang, Xingting 12 Yekutieli, Amnon 12 Zhang, Yinhuo 11 Neeman, Amnon 11 Špenko, Špela 10 Berger, Roland 10 Bocklandt, Raf 10 Caenepeel, Stefaan 10 Etingof, Pavel Il’ich 10 Kirkman, Ellen E. 10 Lu, Di-Ming 10 Mao, XueFeng 10 Oppermann, Steffen 10 Reiten, Idun 10 Schedler, Travis 10 Stellari, Paolo 10 Zhou, Panyue 9 Calaque, Damien 9 Chirvăsitu, Alexandru 9 Derksen, Harm 9 Favero, David 9 Ingalls, Colin 9 Li, Huishi 9 Lunts, Valery A. 9 Makam, Visu 9 Ooms, Alfons I. 9 Rodriguez-Villegas, Fernando 9 Walton, Chelsea 9 Xiao, Jie 9 Zhang, Pu 8 Bachiller, David 8 Brzeziński, Tomasz 8 Burban, Igor 8 Chen, Xiaojun 8 Fairon, Maxime 8 Fei, Jiarui 8 Ginzburg, Victor 8 Nakajima, Yusuke 8 Takahashi, Ryo 8 van Roosmalen, Adam-Christiaan 8 Weyman, Jerzy M. 8 Ye, Yu 8 Zhang, Haicheng 7 Amiot, Claire 7 Ardizzoni, Alessandro 7 Belmans, Pieter 7 Berest, Yuri Yu. 7 Buchweitz, Ragnar-Olaf 7 Colazzo, Ilaria 7 Dao, Hailong 7 Hausel, Tamás 7 Letellier, Emmanuel 7 Menini, Claudia 7 Nastasescu, Constantin 7 Nikolaev, Igor Vasilievich 7 Orlov, Dmitri O. 7 Polishchuk, Alexander Evgen’evich 7 Raedschelders, Theo 7 Reineke, Markus 7 Toën, Bertrand 7 Van Antwerpen, Arne 7 Willwacher, Thomas Hans 7 Xu, Ping 7 Yu, Xiaolan 7 Zhu, Bin ...and 1,464 more Authors all top 5 Cited in 206 Serials 406 Journal of Algebra 198 Advances in Mathematics 110 Journal of Pure and Applied Algebra 109 Communications in Algebra 73 Transactions of the American Mathematical Society 67 Algebras and Representation Theory 66 Mathematische Zeitschrift 48 Proceedings of the American Mathematical Society 44 Journal of Noncommutative Geometry 37 Selecta Mathematica. New Series 37 Journal of Algebra and its Applications 29 Journal of Geometry and Physics 28 Compositio Mathematica 28 Inventiones Mathematicae 26 Communications in Mathematical Physics 26 Israel Journal of Mathematics 24 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Duke Mathematical Journal 21 Journal für die Reine und Angewandte Mathematik 20 Mathematische Annalen 20 Transformation Groups 19 Applied Categorical Structures 17 Letters in Mathematical Physics 15 Glasgow Mathematical Journal 14 Nagoya Mathematical Journal 14 Geometry & Topology 14 Journal of High Energy Physics 12 Journal of the European Mathematical Society (JEMS) 11 Annales de l’Institut Fourier 11 Manuscripta Mathematica 11 Journal of Algebraic Geometry 11 Documenta Mathematica 11 Science China. Mathematics 9 Journal of Mathematical Physics 9 Pacific Journal of Mathematics 9 \(K\)-Theory 9 International Journal of Algebra and Computation 9 Annals of Mathematics. Second Series 9 Forum of Mathematics, Sigma 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Proceedings of the London Mathematical Society. Third Series 8 Journal of the American Mathematical Society 8 Forum Mathematicum 8 Linear Algebra and its Applications 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 European Journal of Mathematics 7 Memoirs of the American Mathematical Society 7 Journal of Mathematical Sciences (New York) 7 Representation Theory 7 Algebra & Number Theory 6 Canadian Mathematical Bulletin 6 Journal of the London Mathematical Society. Second Series 6 Michigan Mathematical Journal 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Advances in Applied Clifford Algebras 6 Journal of the Institute of Mathematics of Jussieu 6 Journal of \(K\)-Theory 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Bulletin of the London Mathematical Society 5 Journal of Symbolic Computation 5 Acta Mathematica Sinica. English Series 5 Central European Journal of Mathematics 5 Frontiers of Mathematics in China 5 Kyoto Journal of Mathematics 4 Russian Mathematical Surveys 4 Collectanea Mathematica 4 Publications Mathématiques 4 Chinese Annals of Mathematics. Series B 4 Revista Matemática Iberoamericana 4 IMRN. International Mathematics Research Notices 4 Algebra Colloquium 4 Communications in Contemporary Mathematics 3 Linear and Multilinear Algebra 3 Arkiv för Matematik 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Archiv der Mathematik 3 Bulletin de la Société Mathématique de France 3 Colloquium Mathematicum 3 Illinois Journal of Mathematics 3 Osaka Journal of Mathematics 3 Tôhoku Mathematical Journal. Second Series 3 International Journal of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Indagationes Mathematicae. New Series 3 St. Petersburg Mathematical Journal 3 Bulletin des Sciences Mathématiques 3 Theory and Applications of Categories 3 International Journal of Geometric Methods in Modern Physics 3 Mediterranean Journal of Mathematics 3 Journal of Topology 3 Journal of Commutative Algebra 3 Journal de l’École Polytechnique – Mathématiques 3 Annales Henri Lebesgue 2 International Journal of Modern Physics A 2 Bulletin of the Australian Mathematical Society 2 Nuclear Physics. B 2 Mathematics of Computation 2 Acta Mathematica Vietnamica 2 Information Sciences ...and 106 more Serials all top 5 Cited in 49 Fields 1,396 Associative rings and algebras (16-XX) 851 Algebraic geometry (14-XX) 571 Category theory; homological algebra (18-XX) 306 Commutative algebra (13-XX) 301 Nonassociative rings and algebras (17-XX) 183 Group theory and generalizations (20-XX) 127 Differential geometry (53-XX) 126 Quantum theory (81-XX) 53 Combinatorics (05-XX) 51 \(K\)-theory (19-XX) 49 Number theory (11-XX) 49 Global analysis, analysis on manifolds (58-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 46 Algebraic topology (55-XX) 40 Several complex variables and analytic spaces (32-XX) 35 Functional analysis (46-XX) 32 Manifolds and cell complexes (57-XX) 23 Field theory and polynomials (12-XX) 23 Dynamical systems and ergodic theory (37-XX) 22 Computer science (68-XX) 16 Topological groups, Lie groups (22-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 8 Relativity and gravitational theory (83-XX) 7 Convex and discrete geometry (52-XX) 6 Mathematical logic and foundations (03-XX) 6 Mechanics of particles and systems (70-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 General algebraic systems (08-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 4 Operations research, mathematical programming (90-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-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. Updates and corrections should be made in Wikidata.