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 - 554-2752
 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


Riemann Surfaces
MAT-280, Spring 2007
Geometric Group Theory
MAT-280, Fall 2015
RFG "What is What in Hyperbolic Geometry"
MAT-290, 2010-2011
MAT-21C, Winter 2017  
Euclidean Geometry
MAT-141, Spring 2017

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


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Escher's zoo:

Penguins in the hyperbolic plane

Crocodiles in the Euclidean plane

Hodge-podge theory