Michael Van Den Bergh

Michael Van Den Bergh's AcademicInfluence.com Rankings

Mathematics

#7534

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#10229

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Algebraic Geometry

#168

World Rank

#176

Historical Rank

Geometry

#169

World Rank

#242

Historical Rank

Measure Theory

#2260

World Rank

#2711

Historical Rank

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Mathematics

Michael Van Den Bergh's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Michael Van Den Bergh's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Generators and representability of functors in commutative and noncommutative geometry (2002) (649)
SEEDS: Superpixels Extracted Via Energy-Driven Sampling (2012) (569)
Modules over regular algebras of dimension 3 (1991) (364)
Some Algebras Associated to Automorphisms of Elliptic Curves (2007) (331)
Noetherian hereditary abelian categories satisfying Serre duality (2002) (309)
Three-dimensional flops and noncommutative rings (2002) (294)
Non-commutative Crepant Resolutions (2002) (278)
Noncommutative curves and noncommutative surfaces (1999) (262)
Existence Theorems for Dualizing Complexes over Non-commutative Graded and Filtered Rings (1997) (244)
A RELATION BETWEEN HOCHSCHILD HOMOLOGY AND COHOMOLOGY FOR GORENSTEIN RINGS (1998) (221)
Combining RGB and ToF cameras for real-time 3D hand gesture interaction (2011) (208)
Real-time 3D hand gesture interaction with a robot for understanding directions from humans (2011) (204)
Semigroups of I-type (2003) (195)
Twisted homogeneous coordinate rings (1990) (194)
Double Poisson algebras (2004) (190)
Separable functors applied to graded rings (1989) (149)
Simplicity of Rings of Differential Operators in Prime Characteristic (1997) (147)
Semi-invariants of quivers for arbitrary dimension vectors (1999) (144)
Semigroups ofI-Type (1998) (139)
Blowing up non-commutative smooth surfaces (1998) (128)
Calabi-Yau algebras and superpotentials (2010) (128)
Hochschild cohomology of abelian categories and ringed spaces (2004) (114)
Deformation theory of abelian categories (2004) (107)
Real-time sign language letter and word recognition from depth data (2011) (105)
Hochschild cohomology and Atiyah classes (2007) (93)
On two examples by Iyama and Yoshino (2008) (91)
Online Video SEEDS for Temporal Window Objectness (2013) (90)
Two Dimensional Tame and Maximal Orders of Finite Representation Type (1989) (88)
The index of a Brauer class on a Brauer-Severi variety (1992) (84)
Noncommutative homology of some three-dimensional quantum spaces (1994) (79)
A PRIMER OF ALGEBRAIC D‐MODULES (London Mathematical Society Student Texts 33) (1998) (69)
A relation between a conjecture of Kac and the structure of the Hall algebra (2001) (68)
Central extensions of three dimensional Artin-Schelter regular algebras (1996) (64)
On the Double of the Hall Algebra of a Quiver (1999) (64)
A new algebraic approach to microlocalization of filtered rings (1989) (63)
A translation principle for the four-dimensional Sklyanin algebras (1996) (63)
Handbook of Tilting Theory: Fourier-Mukai transforms (2004) (58)
Non-commutative desingularization of determinantal varieties I (2009) (53)
Invariants Under Tori of Rings of Differential Operators and Related Topics (1998) (53)
Noncommutative resolutions and rational singularities (2006) (52)
On global deformation quantization in the algebraic case (2006) (50)
Commutative algebra and noncommutative algebraic geometry (2015) (50)
Noncommutative quadric surfaces (2013) (43)
Haarlet-based hand gesture recognition for 3D interaction (2009) (42)
The Brauer Severi scheme of the trace ring of generic matrices (1988) (40)
Non-commutative $\PP^1$-bundles over commutative schemes (2001) (40)
Non-commutative quasi-Hamiltonian spaces (2007) (39)
On quantum spaces of Lie algebras (1993) (37)
Explicit models for some stable categories of maximal Cohen-Macaulay modules (2010) (36)
Ideal classes of three-dimensional Sklyanin algebras (2004) (35)
A DEGREE INEQUALITY FOR LIE ALGEBRAS WITH A REGULAR POISSON SEMI-CENTER (2008) (34)
Real-Time Body Pose Recognition Using 2D or 3D Haarlets (2009) (31)
Căldăraru’s conjecture and Tsygan’s formality (2009) (31)
Differential operators on semi-invariants for tori and weighted projective spaces (1991) (30)
Non-commutative Desingularization of Determinantal Varieties, II: Arbitrary Minors (2011) (29)
A class of counterexamples to the Gel’fand-Kirillov conjecture (1996) (29)
Graded Modules of Gelfand–Kirillov Dimension One over Three-Dimensional Artin–Schelter Regular Algebras (1997) (28)
A Duality Theorem for Hopf Algebras (1984) (28)
The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight (2000) (27)
Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups (2015) (26)
Noetherian hereditary categories satisfying Serre duality (1999) (25)
Cohen-Macaulayness of semi-invariants for tori (1993) (24)
An example of a non-Fourier–Mukai functor between derived categories of coherent sheaves (2014) (24)
Linearisations of binary and ternary forms (1987) (23)
Cohen-Macaulayness of modules of covariants (1991) (21)
Depth SEEDS: Recovering incomplete depth data using superpixels (2013) (21)
Non-commutative resolutions of quotient singularities (2015) (21)
Algebraic properties of linear cellular automata (1991) (21)
Lifting maximal orders (1989) (20)
Modules of Covariants (1995) (20)
Real-time stereo and flow-based video segmentation with superpixels (2012) (20)
Noncommutative motives of separable algebras (2014) (19)
Non-commutative crepant resolutions for some toric singularities. II (2017) (19)
The Gysin triangle via localization and A1-homotopy invariance (2015) (18)
Additive invariants of orbifolds (2016) (18)
The Kontsevich Weight of a Wheel with Spokes Pointing Outward (2007) (18)
Explicit rational forms for the Poincaré series of the trace rings of generic matrices (1991) (18)
Ideal classes of three dimensional Artin-Schelter regular algebras (2005) (17)
A Hochschild cohomology comparison theorem for prestacks (2009) (16)
Superpixels Extracted via Energy-Driven Sampling (2012) (16)
Calabi–Yau deformations and negative cyclic homology (2012) (16)
Division algebra coproducts of index n (1994) (15)
Motion Control of the CyberCarpet Platform (2013) (15)
Algebraic elements in division algebras over function fields of curves (1985) (14)
Local Cohomology of Modules of Covariants (1999) (14)
The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary (2015) (14)
Hochschild (Co)homology for Lie Algebroids (2009) (13)
The center of the generic division algebra (1989) (13)
Trace rings of generic matrices are Cohen-Macaulay (1989) (13)
Regularity of trace rings of generic matrices (1988) (13)
Abstract blowing down (1998) (12)
A k-linear triangulated category without a model (2018) (12)
Global Formality at the G∞-Level (2010) (11)
The Frobenius morphism in invariant theory (2017) (11)
Some rings of differential operators for Sl2-invariants are simple (1996) (11)
Graded Rings and Orders (1988) (11)
Generalized crossed products applied to maximal orders, Brauer groups and related exact sequences (1984) (10)
Scalar extensions of derived categories and non-Fourier–Mukai functors (2014) (10)
Semi-orthogonal decompositions of GIT quotient stacks (2016) (10)
The curvature problem for formal and infinitesimal deformations (2015) (10)
A Converse to Stanley's Conjecture for Sl 2 (1994) (10)
A duality theorem for orders in central simple algebras over function fields (1984) (9)
On involutivity of p-support (2013) (9)
A note on graded k-theory (1986) (9)
Global dimension and regularity of rees rings for non-zariskian filtrations (1990) (8)
Some new examples of non-degenerate quiver potentials (2010) (8)
On an analogue of the Markov equation for exceptional collections of length 4 (2016) (8)
Real-Time 3D Body Pose Estimation (2009) (8)
Non-commutative quadrics (2008) (8)
On schur rings of group rings of finite groups (1992) (8)
Presentation of critical modules of GK-dimension 2 over elliptic algebras (1999) (7)
A note on non-unique enhancements (2017) (7)
A class of perverse schobers in Geometric Invariant Theory (2019) (6)
Noncommutative versions of some classical birational transformations (2014) (6)
t-structures and twisted complexes on derived injectives (2019) (6)
Tilting Bundles on Hypertoric Varieties (2018) (5)
On the number of absolutely indecomposable representations of a quiver (1999) (5)
Perceptive User Interface, a Generic Approach (2005) (5)
The Frobenius morphism in invariant theory II (2019) (5)
On a theorem of Cohen and Montgomery (1985) (5)
The algebraic index of a division algebra (1986) (5)
Non-commutative quadric surfaces (2011) (5)
Non-commutative crepant resolutions, an overview (2022) (4)
On compact generation of deformed schemes (2012) (4)
A translation principle for Sklyanin algebras (1996) (4)
Global formality at the $G_\infty$-level (2007) (4)
A Novel Camera-Based System for Collaborative Interaction with Multi-Dimensional Data Models (2009) (4)
On the noncommutative Bondal–Orlov conjecture for some toric varieties (2018) (3)
Notes on formal deformations of abelian categories (2010) (3)
Division Algebras on 2 of Odd Index , Ramified Along a Smooth Elliptic Curve Are Cyclic (2001) (3)
A remark on a theorem by Deligne (2002) (3)
Note on theK0 of rings with Zariskian filtration (1990) (3)
Comparison of two constructions of noncommutative surfaces with exceptional collections of length 4 (2018) (3)
The representation theory of non-commutative O(GL(2)) (2017) (2)
Regular rings of dimension three (1987) (2)
Visual body pose analysis for human-computer interaction (2010) (2)
On incidence between strata of the Hilbert scheme of points on P^2 (2005) (2)
An explicit description of Π3,2 (1986) (2)
Perverse schobers and GKZ systems (2020) (2)
The $B_\infty$-structure on the derived endomorphism algebra of the unit in a monoidal category (2019) (2)
The representation theory of noncommutative $\mathcal{O}(\text{GL}_2)$ (2015) (2)
The ramification divisor of regular tame orders,i (1987) (2)
A non-commutative Bertini theorem (2017) (2)
A converse to Stanley’s conjecture for ₂ (1994) (2)
On incidence between strata of the Hilbert scheme of points on $$\mathbb{P}^{2}$$ (2007) (2)
Normalizing Extensions of the Two-Veronese of a Three Dimensional Artin–Schelter Regular Algebra on Two Generators☆ (1998) (2)
ON THE STRUCTURE OF NON-COMMUTATIVE REGULAR LOCAL RINGS OF DIMENSION TWO (2002) (1)
Notes on De Jong's period=index theorem for central simple algebras over fields of transcendence degree two (2008) (1)
Catalan numbers, parking functions, permutahedra and noncommutative Hilbert schemes (2022) (1)
Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices (2015) (1)
Motivic concentration theorem (2018) (1)
Motivic Atiyah-Segal completion theorem (2020) (1)
Interactions between Algebraic Geometry and Noncommutative Algebra (2019) (1)
Cohen-Macaulayness of modules of invariants for SL2 (1991) (1)
Division algebras on IP2, ramified along a smooth elliptic curve are cyclic (1997) (1)
Comparing the Kirwan and noncommutative resolutions of quotient varieties. (2019) (1)
A Characteristic Free Tilting Bundle for Grassmannians (2010) (1)
2 0 A ug 2 00 7 HOCHSCHILD COHOMOLOGY AND ATIYAH CLASSES (2007) (0)
On the $\mathbb{Z} D_\infty$-category (2004) (0)
Correction to: The Tannaka–Krein Formalism and (Re)Presentations of Universal Quantum Groups (2018) (0)
Non-Commutative Desingularization of Determinantal Varieties, II (2018) (0)
NONCOMMUTATIVE RESOLUTIONS OF SINGULARITIES Resolutions of singularities are a fundamental tool in algebraic geometry for dealing with singular spaces. The basic idea is to replace a singular space with a nonsingular one which closely resembles it (2019) (0)
Artihmetically Graded Rings over Orders (1988) (0)
T-structures on dg-categories and derived deformations (2022) (0)
Construction of an AS-regular sub-$\mathbb{Z}$-algebra of the 2-veronese of an AS-regular algebra (2014) (0)
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups (2013) (0)
On cohomological and K-theoretical Hall algebras of symmetric quivers (2022) (0)
A G ] 1 8 Ja n 20 05 Fourier-Mukai Transforms (2008) (0)
TRACE RINGS OF GENERIC MATRICES ARE (2009) (0)
The Tannaka–Krein Formalism and (Re)Presentations of Universal Quantum Groups (2018) (0)
The representation theory of non-commutative $\mathcal O$(GL$_2)$ (2017) (0)
OberWolfach, lecture at the conference``Representation Theory of Quivers and Finite Dimensional Algebras''. (2011) (0)
Contemporary Mathematics Non-commutative quasi-Hamiltonian spaces (2007) (0)
A G ] 3 F eb 2 00 4 Fourier-Mukai Transforms (2008) (0)
NORMALIZED ELO (2019) (0)
Fourier-Mukai Transforms (2004) (0)
The Gysin triangle via localization and A[superscript 1]-homotopy invariance (2018) (0)
On the GKZ discriminant locus (2022) (0)
Commutative Arithmetical Graded Rings (1988) (0)
Group rings over Dedekind rings (1988) (0)
Towards Collaborative Interaction with Large nD Models for Effective Project Management (2009) (0)

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Michael Van Den Bergh is affiliated with the following schools:

Hasselt University

Michael Van Den Bergh's Academic­Influence.com Rankings

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Why Is Michael Van Den Bergh Influential?

Michael Van Den Bergh's Published Works

Published Works

What Schools Are Affiliated With Michael Van Den Bergh?

Michael Van Den Bergh's AcademicInfluence.com Rankings