Home Page of Misha Kapovich

(Миша Капович)

Department of Mathematics MSB
1 Shields Ave.,
University of California, Davis
Davis, CA 95616-8633
Email: kapovich(AT)math.ucdavis.edu
Tel : +1 530 - 754 - 0224
Fax: +1 530 - 752-6635

Brief bio

Research interests:

Low dimensional geometry and topology. Kleinian groups and hyperbolic manifolds in all dimensions.

Representation varieties of finitely generated groups.

Configuration spaces of elementary geometric objects like arrangements and mechanical linkages.

Fundamental groups of Kahler manifolds and smooth algebraic varieties.

Manifolds of nonpositive curvature and quasi-isometries. Geometric group theory.

Geometric representation theory of Lie groups.

My electronic preprints

List of publications

Teaching:

Riemann Surfaces	Old staff
Geometric Group Theory	MAT-280, Spring 2020
"What is What in Hyperbolic Geometry"	MAT-290, Winter-Spring 2020
Algebraic Topology	MAT-215A, Fall 2020

Conference "Lie Groups, Geometry and Discrete Groups"
University of Maryland, March 20 - 23, 2008

Conference "Generalized eigenvalue problem, saturation and Schubert calculus"
University of North Carolina at Chapel Hill. May 25 - 29, 2009.
Organized by P. Belkale, T. Haines, M. Kapovich, S. Kumar and J. Millson, and supported by an FRG grant from NSF.

LMS Symposium "Geometry and Arithmetic of Lattices", Durham University,
July 4-July 13, 2011
Organized by M. Belolipetsky, M. Bridson, M. Kapovich, M. Lackenby, J. Parker, A. Reid, and supported by EPSRC.

Fifth Ahlfors-Bers Colloquium, March 24-27, 2011, Rice University

Organized by K. Astala, M. Bonk, W. Goldman, U. Hamenstadt, M. Kapovich, H. Masur, Y. Minsky,
A. Reid, S. Rohde, R. Rodriguez, M. Wolf, S. Wolpert, and supported by NSF.

Conference "Algebraic Geometry and Hyperbolic Geometry - New Connections",
Cabo Frio (Rio de Janeiro, Brazil), June 16 - June 22, 2013
Supported by IMPA and NSF.
Organized by C. Araujo, M. Belolipetsky, M. Kapovich and J. Kollar

Arbeitstagung, July 2019, "Geometry",
Max Plank Institute for Mathematics, Bonn, Germany,
Organized by Werner Ballmann, Michael Kapovich and Ursula Hamenstadt

Discrete Subgroups of Lie Groups

BIRS (Banff, Canada), December 8 - December 13, 2019

Organized by Dave Witte Morris, Michael Kapovich, Gregory Margulis and Gregory Soifer

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Escher's zoo:

Penguins in the hyperbolic plane
Crocodiles in the Euclidean plane

Hodge-podge theory