Misha Kapovich

Misha Kapovich is a Professor in the Department of Mathematics at the University of California, Davis. His research spans low-dimensional geometry, topology, and geometric group theory, with a focus on Kleinian groups, hyperbolic manifolds, and representation varieties of discrete groups. He has co-authored foundational works on geometric structures and rigidity theorems.

His research interests include:

• Low-dimensional geometry and topology
• Kleinian groups and hyperbolic manifolds
• Configuration spaces of geometric objects
• Fundamental groups of Kähler manifolds
• Manifolds of nonpositive curvature
• Geometric representation theory of Lie groups

His publications explore intersections between geometric group theory, Lie theory, and algebraic geometry, emphasizing stability inequalities, convex functions on symmetric spaces, and applications to representation theory.

Students:

• Sonjong Hwang (PhD student, University of Utah, 2002)

Labs/Teams: Collaborated extensively with Bruce Kleiner and John Millson on geometric group theory and representation varieties. Organized conferences including the 2011 LMS Symposium on Lattices and the 2013 IMPA-NSF Conference on Algebraic and Hyperbolic Geometry.