# Michael Kapovich

**Professor****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

### Research

- 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*