Career
His research is in the fields of low-dimensional topology, representation theory, and quantum groups. His major contributions are in the theory of quantum integrable systems, in representation theory of quantum groups and in quantum topology. He and Vladimir Turaev constructed invariants of 3-manifolds which are expected to describe quantum Chern-Simons field theory introduced by Edward Witten.
He earned his bachelor"s degree and master"s degree from Leningrad University in 1982, and his Doctor of Philosophy from the Steklov Mathematical Institute in 1984.
He gave a plenary lecture at the International Congress of Mathematicians in 2010.