Yuri Berest

Associate Professor of Mathematics

Web Site N/A Contact Information Office:  439 Malott Hall Phone:  (607) 255-3375 Fax:  (607) 255-7149 Email:  berest@math.cornell.edu Courses & Office Hours

Education

Ph.D. (1997) Université de Montreal (Canada)

Research Area: 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.

Selected Publications

The problem of lacunas and analysis on root systems, Trans. Amer. Math. Soc. 352 (2000), 3743–3776.

Automorphisms and ideals of the Weyl algebra (with G. Wilson), Math. Ann. 318 (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.

Cherednik algebras and differential operators on quasi-invariants (with P. Etingof and V. Ginzburg), Duke Math. J. 118 (2003), 279–337.

Morita equivalence of Cherednik algebras (with P. Etingof and V. Ginzburg), J. reine angew. Math. 568 (2004), 81–98.

A-infinity modules and Calogero-Moser spaces (with O. Chalykh), J. reine angew. Math. 607 (2007), 69–112.

Mad subalgebras of rings of differential operators on curves (with G. Wilson), Advances in Math. 212 no. 1 (2007), 163–190.

Last modified: September 11, 2007