Michael Kapovich
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Russian-American mathematician
Michael Kapovich's AcademicInfluence.com Rankings
Michael Kapovichmathematics Degrees
Mathematics
#4984
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#7044
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#1668
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Differential Geometry
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#118
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#27
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Geometry
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#207
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#29
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Measure Theory
#3017
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#3585
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#875
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Mathematics
Why Is Michael Kapovich Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michael Kapovich is a Russian-American mathematician. Kapovich was awarded a doctorate in 1988 at the Sobolev Institute of Mathematics in Novosibirsk with thesis advisor Samuel Leibovich Krushkal and thesis "Плоские конформные структуры на 3-многообразиях" . Kapovich is now a professor at University of California, Davis, where he has been since 2003.
Michael Kapovich'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
- Hyperbolic Manifolds and Discrete Groups (2000) (506)
- The symplectic geometry of polygons in Euclidean space (1996) (289)
- On the moduli space of polygons in the Euclidean plane (1995) (228)
- The monodromy groups of Schwarzian equations on closed Riemann surfaces (1995) (172)
- Hyperbolic groups with low-dimensional boundary (2000) (126)
- On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds (1995) (110)
- Universality theorems for configuration spaces of planar linkages (1998) (101)
- Anosov subgroups: dynamical and geometric characterizations (2017) (99)
- 3-manifold Groups and Nonpositive Curvature (1998) (96)
- Quasi-isometries preserve the geometric decomposition of Haken manifolds (1997) (95)
- On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties (1997) (77)
- A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings (2014) (75)
- Geometric Group Theory (2018) (71)
- Morse actions of discrete groups on symmetric space (2014) (70)
- KLEINIAN GROUPS IN HIGHER DIMENSIONS (2007) (69)
- The Generalized Triangle Inequalities in Symmetric Spaces and Buildings with Applications to Algebra (2002) (69)
- Actions of discrete groups on nonpositively curved spaces (1996) (69)
- A path model for geodesics in Euclidean buildings and its applications to representation theory (2004) (66)
- Dynamics on flag manifolds: domains of proper discontinuity and cocompactness (2013) (65)
- Coarse Alexander duality and duality groups (1999) (62)
- Van Kampen’s embedding obstruction for discrete groups (2000) (60)
- Complex hyperbolic manifolds homotopy equivalent to a Riemann surface (2001) (57)
- Convex projective structures on Gromov-Thurston manifolds (2006) (54)
- On normal subgroups in the fundamental groups of complex surfaces (1998) (50)
- Quasi-isometries and the de Rham decomposition (1998) (42)
- Representations of polygons of finite groups (2003) (41)
- Deformations of representations of discrete subgroups of SO(3, 1) (1994) (38)
- Fundamental groups of links of isolated singularities (2011) (37)
- Finsler bordifications of symmetric and certain locally symmetric spaces (2015) (35)
- Lectures on the Geometric Group Theory (2003) (34)
- On the Moduli Space of a Spherical Polygonal Linkage (1999) (33)
- Polygons in Buildings and their Refined Side Lengths (2004) (31)
- Discrete isometry groups of symmetric spaces (2017) (31)
- SOME RECENT RESULTS ON ANOSOV REPRESENTATIONS (2015) (30)
- On monodromy of complex projective structures (1995) (30)
- Structure of the tensor product semigroup (2005) (29)
- Hodge theory and the art of paper folding (1997) (26)
- Quantization of Bending Deformations of Polygons In , Hypergeometric Integrals and the Gassner Representation (2001) (25)
- On representation varieties of 3-manifold groups (2013) (25)
- Noncoherence of arithmetic hyperbolic lattices (2010) (24)
- Arithmetic aspects of self-similar groups (2008) (24)
- RAAGs in Ham (2011) (23)
- The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces (1996) (23)
- Relativizing characterizations of Anosov subgroups, I (2018) (23)
- On the Ahlfors Finiteness Theorem (2000) (22)
- On the absence of Ahlfors' finiteness theorem for Kleinian groups in dimension three (1991) (21)
- The Eigencone and Saturation for Spin(8) (2009) (20)
- ON THE DEFORMATION THEORY OF REPRESENTATIONS OF FUNDAMENTAL GROUPS OF COMPACT HYPERBOLIC 3-MANIFOLDS (1996) (20)
- THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE (1999) (20)
- Dynamics at infinity of regular discrete subgroups of isometries of higher rank symmetric spaces (2013) (19)
- Homological Dimension and Critical Exponent of Kleinian Groups (2007) (18)
- Periods of abelian differentials and dynamics (2017) (16)
- On quasihomomorphisms with noncommutative targets (2013) (15)
- Noncoherence of some lattices in Isom.H n (2006) (15)
- Lectures on quasi-isometric rigidity (2017) (14)
- Affine buildings for dihedral groups (2008) (14)
- ON THE DYNAMICS OF PSEUDO-ANOSOV HOMEOMORPHISMS ON REPRESENTATION VARIETIES OF SURFACE GROUPS (1998) (14)
- Moduli Spaces of Linkages and Arrangements (1999) (14)
- The weak hyperbolization conjecture for 3-dimensional CAT.0/-groups (2007) (13)
- Conformally flat metrics on 4-manifolds (2002) (13)
- Flat conformal structures on 3-manifolds. I. Uniformization of closed Seifert manifolds (1993) (12)
- Geometric finiteness in negatively pinched Hadamard manifolds (2018) (9)
- Ideal triangles in Euclidean buildings and branching to Levi subgroups (2010) (9)
- Dirichlet fundamental domains and topology of projective varieties (2012) (9)
- Patterson-Sullivan theory for Anosov subgroups (2019) (9)
- On superintegral Kleinian sphere packings, bugs, and arithmetic groups (2021) (9)
- Generalized triangle inequalities and their applications (2006) (8)
- A combination theorem for Anosov subgroups (2018) (8)
- On sequences of finitely generated discrete groups (2007) (8)
- Lectures on complex hyperbolic Kleinian groups (2019) (7)
- GAFA Geometric And Functional Analysis (2012) (7)
- A note on properly discontinuous actions (2023) (7)
- Ping-pong in Hadamard manifolds (2018) (7)
- Introduction to Teichmüller Theory (2008) (6)
- Stability inequalities and universal Schubert calculus of rank 2 (2010) (6)
- Triangle inequalities in path metric spaces (2006) (5)
- Discreteness is undecidable (2016) (5)
- ON HYPERBOLIC 4-MANIFOLDS FIBERED OVER SURFACES (1993) (5)
- Saturation and Irredundancy for Spin(8) (2006) (5)
- Klein-Maskit combination theorem for Anosov subgroups: Free products (2022) (4)
- An Example of 2-Dimensional Hyperbolic Group Which Can't Act on 2-Dimensional Negatively Curved Comp (1994) (4)
- Lectures on Anosov representations I: Dynamical and geometric characterizations (2016) (4)
- Energy of harmonic functions and Gromov's proof of Stallings' theorem (2007) (4)
- A Note on Complex-Hyperbolic Kleinian Groups (2020) (3)
- Trees of hyperbolic spaces (2022) (3)
- Artin groups, projective arrangements, and fundamental groups of smooth complex algebraic varieties (1997) (3)
- A note on Selberg’s lemma and negatively curved Hadamard manifolds (2018) (3)
- Hyperbolic manifolds and discrete groups / Michael Kapovich (2009) (3)
- Sullivan's structural stability of expanding group actions (2019) (3)
- Convex projective Gromov--Thurston examples (2006) (2)
- Geometry of Hyperbolic Space (2009) (2)
- STRUCTURAL STABILITY OF MEANDERING-HYPERBOLIC GROUP ACTIONS (2019) (2)
- A note on laminations with hyperbolic leaves (2017) (2)
- Krull dimensions of rings of holomorphic functions (2015) (2)
- Flats in 3-manifolds (2005) (2)
- Topology of Kleinian Groups in Several Dimensions (1)
- Quantization of bending deformations of polygons in Euclidean space, hypergeometric integrals and the Gassner representation (2000) (1)
- Hyperbolic groups with low-dimensional boundary - eScholarship (2000) (1)
- THE MONODROMY GROUPS OF SCHWARZIAN EQUATIONS ON COMPACT RIEMANN SURFACES (2008) (1)
- Hyperbolic groups with 1-dimensional boundary (1998) (1)
- Hausdorff dimension of non-conical limit sets (2019) (1)
- Effective bounds for Vinberg’s algorithm for arithmetic hyperbolic lattices (2022) (0)
- Decomposition theorems for complex projective structures (2009) (0)
- On representation varieties of Artin groups , projectivearrangements and the fundamental groups of smooth complexalgebraic varietiesMichael (2014) (0)
- FUNDAMENTAL GROUPS OF 3-MANIFOLDS (1995) (0)
- Complex Projective Structures (2009) (0)
- Hyperbolization of Fibrations (2009) (0)
- Introduction to Orbifold Theory (2009) (0)
- UC Davis UC Davis Previously Published Works Title Krull dimensions of rings of holomorphic functions (2015) (0)
- UC Davis UC Davis Previously Published Works Title Krull dimensions of rings of holomorphic functions (2015) (0)
- Saturation (2020) (0)
- Dirichlet fundamental domains and topology of projective varieties (2013) (0)
- Three-Dimensional Topology (2009) (0)
- G T ] 1 1 O ct 2 01 5 ON REPRESENTATION VARIETIES OF 3-MANIFOLD GROUPS (2015) (0)
- Beyond the Hyperbolization Theorem (2009) (0)
- Anosov subgroups: dynamical and geometric characterizations (2017) (0)
- The Bounded Image Theorem (2009) (0)
- Brooks’ Theorem and Circle Packings (2009) (0)
- Reduction to the Bounded Image Theorem (2009) (0)
- List of problems collected at the workshop “Discrete subgroups of Lie groups” held at BIRS (2020) (0)
- Sociology of Kleinian Groups (2009) (0)
- Quasi-isometric rigidity in low dimensional topology (2010) (0)
- Gafa Geometric and Functional Analysis 3-manifold Groups and Nonpositive Curvature (1998) (0)
- AND COMPLEX–PROJECTIVE (2012) (0)
- Outline of the Proof of the Hyperbolization Theorem (2009) (0)
- Flat S in 3-manifolds (2003) (0)
- RAAGs in Ham (2012) (0)
- A combination theorem for Anosov subgroups (2018) (0)
- Statement : Some of my research since July 2003 (2019) (0)
- Introduction to Group Actions on Trees (2009) (0)
- A Note on Complex-Hyperbolic Kleinian Groups (2020) (0)
- Affine buildings for dihedral groups (2011) (0)
- Laminations, Foliations, and Trees (2009) (0)
- Domains of discontinuity of Lorentzian affine group actions (2023) (0)
- On quasihomomorphisms with noncommutative targets (2016) (0)
- Bhattacharya, Subhrajit; Pivtoraiko, Mihail A classification of configuration spaces of planar robot arms for a continuous inverse kine- (2021) (0)
- Klein-Maskit combination theorem for Anosov subgroups: Amalgams (2023) (0)
- Discrete subgroups of Lie groups (2020) (0)
- Teichmüller Theory of Riemann Surfaces (2009) (0)
- Ju l 2 00 6 SATURATION AND IRREDUNDANCY FOR SPIN ( 8 ) (2019) (0)
- Ultralimits of Metric Spaces (2009) (0)
- J un 2 00 6 Convex projective structures on Gromov – Thurston manifolds (2008) (0)
- The Orbifold Trick (2009) (0)
- SOME RECENT RESULTS ON ANOSOV REPRESENTATIONS (2016) (0)
- Pleated Surfaces and Ends of Hyperbolic Manifolds (2009) (0)
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