Subject:

Algebraic geometry Representation theory Mathematical physics

Main publications:

• 1. (with Y. Manin) Modules and Morita theory for operads, Amer. J. Math. 123 (2001), no. 5, 811--838.
• 2. Semiinfinite symmetric powers, preprint math.QA/0107089. (with I. Ciocan-Fontanine) Derived Hilbert schemes, J. Amer. Math. Soc. 15 (2002), no. 4, 787-815.
• 3. (with E. Vasserot) Vertex algebras and the formal loop space. Publ. Math. Inst. Hautes Йtudes Sci. 100 (2004), 209-269. (with M. Einsiedler, D. Lind) Non-archimedean amoebas and tropical varieties, J. reine und angew. Math. 601 (2006), 139-158.
• 4. (with S. Arkhipov) Toric arc schemes and quantum cohomology of toric varieties, Math. Ann. 335 (2006), 953-964.
• 5. Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Invitation to higher local fields (Mьnster, 1999), 255--262, Geom. Topol. Monogr., 3 , Geom. Topol. Publ., Coventry, 2000.

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Yale University, Department of Mathematics
• V. A. Steklov Mathematical Institute, USSR Academy of Sciences