My research interests include mathematical physics, algebraic geometry and noncommutative algebra. I am particularly interested in various interactions between these fields. Some of my recent work is related to the study of algebras of differential operators on singular algebraic varieties and representation theory of Cherednik algebras.
Main publications:
Automorphisms and ideals of the Weyl algebra (with G. Wilson), Math. Ann. 318 no. 1 (2000), 127–147.
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.
Finite-dimensional representations of rational Cherednik algebras (with P. Etingof and V. Ginzburg), Internat. Math. Res. Notices 19 (2003), 1053–1088.
Cherednik algebras and differential operators on quasi-invariants (with P. Etingof and V. Ginzburg), Duke Math. J. 118 no. 2 (2003), 279–337.
Morita equivalence of Cherednik algebras (with P. Etingof and V. Ginzburg), J. Reine Angew. Math. 568 (2004), 81–99.
