# Michael Kapovich

Distinguished Professor

Hyperbolic geometry, geometric topology, geometric group theory

Ph.D., 1988, Institute of Mathematics, Siberian Branch of Soviet Academy of Sci., NovosibirskWeb Page: http://www.math.ucdavis.edu/~kapovich/

Email: kapovich@math.ucdavis.edu

Office: MSB 3147

Phone: 530-754-0224

### Research

- Low dimensional geometry and topology. Kleinian groups and hyperbolic manifolds.
- 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

- M. Kapovich and J. Kollar, "Fundamental groups of links of isolated singularities,"
*Journal of AMS*,**27**:929-952, 2014, Full Text. - 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. - M. Kapovich, "Hyperbolic Manifolds and Discrete Groups,"
*Modern Birkhauser Classics**,*2009, Full Text. - 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. - C. Drutu, M. Kapovich, "Geometric Group Theory,"
*American Mathematica Society Colloquium Publications*,**63**, 2018, Publisher's Link.

### Honors and Awards

- Gold medal of the Soviet 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, 2015-2019.

*Last updated: 2019-09-14*