Andrei Rapinchuk

McConnell-Bernard Professor of Mathematics

P. O. Box 400137 Dept. of Mathematics 307 Kerchof Hall

434-924-4950 asr3x@virginia.edu Personal Webpage

Research Areas

Group Theory

Publications/Research

Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable, J. Amer. Math. Soc. 15 (2002), 929-978 (with Y. Segev and G. Seitz).

Weakly commensurable arithmetic groups and isospectral locally symmetric spaces, Publ. Math. IHES 109(2009), 113-184.

Research Interests

My research lies at the meeting ground of algebra, number theory and algebraic geometry. More precisely, I am primarily interested in various properties of algebraic groups over non-algebraically closed fields, with special focus on local and global fields. I also study linear representations of finitely generated groups using the technique of representation varieties and try to understand the phenomenon of representation rigidity.

Education

• Master of Science (MS), Belorussian State University
• Doctor of Philosophy (PhD), National Academy of Sciences

Research Projects

• Normal Subgroups of the Groups of Rational Points of Algebraic Groups
• Arithmetic Groups, Their Applications and Generalizations
  • Project sponsored by U.S. NSF - Directorate Math. & Physical Sciences
  • 09/01/2010 - 08/31/2013