Berest, Yuri
Associate Professorresearch
research and scholarship focus
- 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.
primary investigator of
- RINGS OF DIFFERENTIAL OPERATORS AND THE HADAMARD PROBLEM | Research Grant
research areas
- algebra | research concentration area (Mathematics)
- mathematical physics | research concentration area (Mathematics)
affiliations
faculty appointment in
- Mathematics (MATH) | Cornell department
member of graduate field
- Mathematics | graduate field
teaching
teaches
- MATH 4900 - Independent Study (TBA -) | fall 2009 class
- MATH 7900 - Supervised Reading & Research (TBA -) | fall 2009 class
- MATH 4180 - Introduction to the Theory of Functions of One Complex Variable (TR 11:40:AM-12:55:PM) | spring 2009 class
- MATH 4310 - Linear Algebra (MWF 11:15:AM-12:05:PM) | fall 2008 class
- MATH 7310 - Seminar In Algebra (MW 02:55:PM-04:10:PM) | fall 2008 class
service
compiles listings
- Lie Groups Seminar | seminar series
background
educational background
publications
selected publications (listing in progress)
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.