Michael Kapovich

from Wikipedia, the free encyclopedia
Misha Kapovich, Oberwolfach 2015

Michael Kapovich , also Misha Kapovich , Russian Михаил Эрикович Капович , transcription Michail Erikowitsch Kapowitsch, (* 1963 ) is a Russian-American mathematician.

Kapovich received his doctorate in 1988 at the Institute for Mathematics of the Siberian Branch of the Soviet Academy of Sciences in Novosibirsk under Samuil Leibowitsch Kruschkal (flat conformal structures on 3-manifolds, Russian). He is a professor at the University of California, Davis , where he has been since 2003.

He deals with low-dimensional geometry and topology, Klein groups , hyperbolic geometry, geometric group theory , geometric representation theory in Lie groups, spaces of non-positive curvature and configuration spaces of joint mechanisms.

In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid (Generalized triangle inequalities and their applications).

Fonts

  • Hyperbolic manifolds and discrete groups. Reprint of the 2001 edition. Modern Birkhäuser Classics. Birkhauser Boston, Inc., Boston, MA, 2009. ISBN 978-0-8176-4912-8
  • On monodromy of complex projective structures. Invent. Math. 119 (1995) no. 1, 243-265.
  • with B. Leeb : On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds. Geom. Funct. Anal. 5 (1995) no. 3, 582-603.
  • with JJ Millson : On the moduli space of polygons in the Euclidean plane. J. Differential Geom. 42 (1995) no. 1, 133-164.
  • with JJ Millson: The symplectic geometry of polygons in Euclidean space. J. Differential Geom. 44 (1996) no. 3, 479-513.
  • with B. Leeb: Quasi-isometries preserve the geometric decomposition of hook manifolds. Invent. Math. 128 (1997) no. 2, 393-416.
  • with JJ Millson: On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties. Inst. Hautes Études Sci. Publ. Math. No. 88: 5-95 (1999) (1998).
  • with D. Gallo, A. Marden : The monodromy groups of Schwarzian equations on closed Riemann surfaces. Ann. of Math. (2) 151 (2000), no. 2, 625-704.
  • with B. Kleiner : Hyperbolic groups with low-dimensional boundary. Ann. Sci. École Norm. Sup. (4) 33 (2000), no. 5, 647-669.
  • with M. Bestvina , B. Kleiner: Van Kampen's embedding obstruction for discrete groups. Invent. Math. 150 (2002), no. 2, 219-235.
  • with B. Leeb, JJ Millson: The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra. Mem. Amer. Math. Soc. 192 (2008), no.896, ISBN 978-0-8218-4054-2
  • Homological dimension and critical exponent of Kleinian groups. Geom. Funct. Anal. 18 (2009), no. 6, 2017-2054.
  • Dirichlet fundamental domains and topology of projective varieties. Invent. Math. 194 (2013), no.3, 631-672
  • with J. Kollár : Fundamental groups of links of isolated singularities. J. Amer. Math. Soc. 27 (2014), no. 4, 929-952.
  • with B. Leeb, J.Porti : Anosov subgroups: Dynamical and geometric characterizations. Eur. J. Math. 3 (2017), 808-898.

Web links

Individual evidence

  1. ↑ Michael Kapovich in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Kapovich, Michael
ALTERNATIVE NAMES Kapovich, Misha; Kapowitsch, Michail Erikowitsch; Капович, Михаил Эрикович
BRIEF DESCRIPTION Russian-American mathematician
DATE OF BIRTH 1963