# nLab Yuri Berest

Yuri Berest is a professor at Cornell, mathematics department: web

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.

• Yuri Berest, Oleg Chalykh, $A_\infty$-modules and Calogero-Moser spaces, J. Reine Angew. Math. 607 (2007), 69–112, MR2009f:16019, doi
• Yu. Berest, P. Etingof, V. Ginzburg, Finite-dimensional representations of rational Cherednik algebras. Int. Math. Res. Not. 2003, no. 19, 1053-1088.
• Yu. Berest, G. Wilson, Ideal classes of the Weyl algebra and noncommutative projective geometry (with an Appendix by M. Van den Bergh), Internat. Math. Res. Notices 26 (2002), 1347–1396.
• Yu. Berest, G. Wilson, Mad subalgebras of rings of differential operators on curves, Advances in Math. 212 no. 1 (2007), 163–190.
• Yuri Berest, The problem of lacunas and analysis on root systems, Trans. Amer. Math. Soc. 352 (2000), 3743–3776.
• Yuri Yu. Berest, The theory of lacunas and quantum integrable systems, Calogero-Moser-Sutherland models (Montréal, QC, 1997), 53–64, CRM Ser. Math. Phys., Springer 2000.
Revised on January 9, 2013 20:33:03 by Zoran Škoda (161.53.130.104)