Michael Kapovich
Home page:
http://www.math.ucdavis.edu/~kapovich/
Position: Professor
Year joining UC Davis: 2003
Degree: Ph.D., 1988, Institute of Mathematics, Siberian Branch of Soviet Academy of Sci., Novosibirsk
Refereed publications: Via
Math Reviews
Recent publications: Via
math arXiv
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 B. Leeb, " Quasi-isometries preserve the geometric decomposition of Haken manifolds," Invent. Math., 128: 393-416, 1997.
[2] 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,
"Math arXiv9703.5107.
[3] D. Gallo, M. Kapovich and A. Marden, " On monodromy of Schwarzian differential equation on Riemann surfaces, " Annals of Math., 151(2): 625-704, 2000,
Math arXiv9511.5213.
[4] M. Kapovich, " Hyperbolic Manifolds and Discrete Groups, " Birkhauser's series " Progress in Mathematics,", 183, 2000,
MathSciNet1792613.
[5] 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,
MathSciNet2275620.
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
Last updated: 2008/02/12
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