Michael Kapovich (also ''Misha Kapovich'', Михаил Эрикович Капович, transcription Mikhail Erikovich Kapovich, born 1963) is a Russian-American mathematician. Kapovich was awarded a doctorate in 1988 at the Sobolev Institute of Mathematics in

Novosibirsk Novosibirsk is the largest city and administrative centre of Novosibirsk Oblast and the Siberian Federal District in Russia. As of the 2021 Russian census, 2021 census, it had a population of 1,633,595, making it the most populous city in Siber ...

with thesis advisor Samuel Leibovich Krushkal and thesis "Плоские конформные структуры на 3-многообразиях" (Flat conformal structures on 3-manifolds, Russian lang. thesis). Kapovich is now a professor at

University of California, Davis The University of California, Davis (UC Davis, UCD, or Davis) is a Public university, public Land-grant university, land-grant research university in Davis, California, United States. It is the northernmost of the ten campuses of the University ...

, where he has been since 2003. His research deals with low-dimensional geometry and topology,

Kleinian group In mathematics, a Kleinian group is a discrete subgroup of the group (mathematics), group of orientation-preserving Isometry, isometries of hyperbolic 3-space . The latter, identifiable with PSL(2,C), , is the quotient group of the 2 by 2 complex ...

s, hyperbolic geometry, geometric group theory, geometric representation theory in Lie groups, , and configuration spaces of arrangements and mechanical linkages. in 2006 in

Madrid Madrid ( ; ) is the capital and List of largest cities in Spain, most populous municipality of Spain. It has almost 3.5 million inhabitants and a Madrid metropolitan area, metropolitan area population of approximately 7 million. It i ...

he was an Invited Speaker at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

with talk ''Generalized triangle inequalities and their applications''. He is married to mathematician Jennifer Schultens. He has two brothers, both of whom are mathematicians as well: Ilya Kapovich works in group theory and geometric topology at

CUNY The City University of New York (CUNY, pronounced , ) is the Public university, public university system of Education in New York City, New York City. It is the largest urban university system in the United States, comprising 25 campuses: eleven ...

, and Vitali Kapovich researches global Riemannian geometry at the

University of Toronto The University of Toronto (UToronto or U of T) is a public university, public research university whose main campus is located on the grounds that surround Queen's Park (Toronto), Queen's Park in Toronto, Ontario, Canada. It was founded by ...

Selected publications

Articles

* ''On monodromy of complex projective structures.'' Invent. Math. 119 (1995), no. 1, 243–265. * with B. Leeb: ''On asymptotic cones and quasi-isometric classes of fundamental groups of 3-manifolds.'' Geom. Funct. Anal. 5 (1995), no. 3, 582–603. * with J. J. Millson
''On the moduli space of polygons in the Euclidean plane.''
J. Differential Geom. 42 (1995), no. 1, 133–164. * with J. J. 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 Haken manifolds.'' Invent. Math. 128 (1997), no. 2, 393–416. * with J. J. Millson: ''On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties.'' Inst. Hautes Études Sci. Publ. Math. 88 (1998), 5–95 (1999). * 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. Ecole 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. * ''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.

Books

* Reprint of the 2001 edition. Modern Birkhäuser Classics. Birkhäuser Boston, Inc., Boston, MA, 2009. * with B. Leeb, J. J. Millson: * with Cornelia Druţu:

References

External links

* * * * * lectures at Geometry, Groups and Dynamics (GGD) – 2017, International Centre for Theoretical Sciences, Tata Institute ** ** ** ** {{DEFAULTSORT:Kapovich, Michael 20th-century Russian mathematicians 21st-century Russian mathematicians 20th-century American mathematicians 21st-century American mathematicians University of California, Davis faculty 1963 births Living people