Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Keywords: algebraic groups, Chevalley groups, exceptional groups, classical groups, representation theory, algebraic K-theory, Lie algebras, Hopf algebras, associative and non-associative rings, rings, exceptional objects in algebra and geometry, arithmetic groups, presentations of groups, finite groups and geometries, computer algebra and symbolic computation, multilinear algebra, algebraic geometry, algebraic number theory.

Subject:

Structure theory and representations of algebraic groups, algebraic K-theory, overgroups of semisimple groups and tori.

Main publications:

1. A.Stepanov, N.Vavilov, “Decomposition of transvections: a theme with variations”, K-theory, 19 (2000), 109–153
2. N.Vavilov, “A third look at weight diagrams”, Rendiconti del Seminario Matematico dell'Universitá di Padova, 104 (2000), 201–250
3. A.Bak, N.Vavilov, “Structure of hyperbolic unitary groups. I. Elementary subgroups”, Algebra Colloquium, 7:2 (2000), 159–196
4. A.Bak, N.Vavilov, “Presenting powers of augmentation ideal and quadratic forms”, K-theory, 20 (2000), 299–309
5. R.Hazrat, N.Vavilov, “$K_1$ of Chevalley groups are nilpotent”, J. Pure Appl. Algebra, 179 (2003), 99–116

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• St. Petersburg State University, Mathematics and Mechanics Faculty
• St. Petersburg Mathematical Society
• Indian Statistical Institute