Michael Kapovich

Regular Faculty
Complex & hyperbolic manifolds, topology
Ph.D., 1988, Institute of Mathematics, Siberian Branch of Soviet Academy of Sci., Novosibirsk
Refereed publications: Via Math Reviews

Web Page: http://www.math.ucdavis.edu/~kapovich/
Email: kapovich@math.ucdavis.edu
Office: MSB 2224
Phone: 601-4444 x4019


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

  • Representation varieties of finitely generated groups.

  • Configuration spaces of arrangements and mechanical linkages.

  • Spaces of nonpositive curvature.

  • Geometric group theory.

  • Geometric representation theory of Lie groups.

Selected Publications

[1] M. Kapovich and J. J. Millson, "On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties," Math. Publications of IHES, 88:5-95, 1999, "Full Text.

[2] D. Gallo, M. Kapovich and A. Marden, "On monodromy of Schwarzian differential equation on Riemann surfaces," Annals of Math., 151(2):625-704, 2000, Full Text.

[3] M. Kapovich, "Hyperbolic Manifolds and Discrete Groups," Birkhauser's series " Progress in Mathematics,", 183, 2000, Full Text.

[4] M. Kapovich, "Generalized triangle inequalities and their applications," Proceedings of the International Congress of Mathematicians -Madrid, August 22-30, 2006. Eds. Marta Sanz-Sola, Javier Soria, Juan L. Varona, Joan Verdera. 2:719-742, Full Text.

[5] M. Kapovich, "Homological dimension and critical exponent of Kleinian groups," Geometric Analysis and Functional Analysis, 18(6):2017-2054, 2009, Full Text.

Honors and Awards

  • Gold medal of the Societ ministry of higher education for the best master thesis, 1985-86

  • NSF grants 1993-1995, 1996-1999, 1999-2002, 2002-2005, 2004-2008, 2006-2009, 2009-2012, 2012-2015.

Last updated: 2012-04-16