439 Malott Hall
Ph.D. (1997) Université de Montreal (Canada)
Mathematical physics and algebraic geometry
My research interests include mathematical physics, algebraic geometry and representation theory. I am particularly interested in various interactions between these fields. Some of my recent work is related to noncommutative geometry, integrable systems, differential operators on algebraic varieties, representation theory of Cherednik algebras, and the theory of invariants of finite reflection groups.
Mad subalgebras of rings of differential operators on curves (with G. Wilson), Advances in Math. 212 no. 1 (2007), 163–190.
A-infinity modules and Calogero-Moser spaces (with O. Chalykh), J. reine angew. Math. 607 (2007), 69–112.
Morita equivalence of Cherednik algebras (with P. Etingof and V. Ginzburg), J. reine angew. Math. 568 (2004), 81–98.
Cherednik algebras and differential operators on quasi-invariants (with P. Etingof and V. Ginzburg), Duke Math. J. 118 (2003), 279–337.
Ideal classes of the Weyl algebra and noncommutative projective geometry (with G. Wilson and M. van den Bergh), Internat. Math. Res. Notices 26 (2002), 1347–1396.
Automorphisms and ideals of the Weyl algebra (with G. Wilson), Math. Ann. 318 (2000), 127–147.
The problem of lacunas and analysis on root systems, Trans. Amer. Math. Soc. 352 (2000), 3743–3776.