P. O. Box 400137 |
434-924-4950 asr3x@virginia.edu Personal Webpage |
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.
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.