Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 08.06.1968
E-mail:
Keywords: reductive algebraic group; algebra of invariants; algebra of covariants; orbit; quiver.

Subject:

Orbits, invariant and covariant functions for the reductive algebraic groups acting on affine varieties. Representations of quivers.

Main publications:

• On non-connected simple linear groups with a free algebra of invariants // Izvestiya Math., 60 (1996), 811–856.
• On algebras of invariants and codimension 1 Luna strata for non-connected groups // Geometriae Dedicata, 72 (1998), 189–215.
• On representations of $SL_n$ with algebras of invariants being complete intersections // Journal of Lie Theory, 11 (2001), 207–229.
• On spherical representations of quivers and generalized complexes // Transformation groups, 7, no. 1 (2002), 87–106.
• First fundamental theorem for covariants of classical groups // Advances in Math., to appear.

Publications in Math-Net.Ru

Talks and lectures

Personal pages:

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Organisations:

• Lomonosov Moscow State University
• Independent University of Moscow
• Moscow Mathematical Society