Vladimir Turaev

Vladimir Georgievich Turaev (Владимир Георгиевич Тураев, born in 1954) is a Russian mathematician, specializing in topology.

Turaev received in 1979 from the Steklov Institute of Mathematics his Candidate of Sciences degree (PhD) under Oleg Viro.[1] Turaev was a professor at the University of Strasbourg and then became a professor at Indiana University. In 2016, he was elected a Fellow of the American Mathematical Society.

Turaev's research deals with low-dimensional topology, quantum topology, and knot theory and their interconnections with quantum field theory. In 1991, Reshetikhin and Turaev published a mathematical construction of new topological invariants of compact oriented 3-manifolds and framed links in these manifolds, corresponding to a mathematical implementation of ideas in quantum field theory published by Witten;[2] the invariants are now called Witten-Reshetikhin-Turaev (or Reshetikhin-Turaev) invariants. In 1992, Turaev and Viro introduced a new family of invariants for 3-manifolds by using state sums computed on triangulations of manifolds;[3] these invariants are now called Turaev-Viro invariants.

In 1990, Turaev was an Invited Speaker with talk State sum models in low dimensional topology at the ICM in Kyōto.[4] In 2016, he shared, with Alexis Virelizier, the Ferran Sunyer i Balaguer Prize for their monograph Monoidal categories and topological field theory.

  1. ^ Vladimir Turaev at the Mathematics Genealogy Project
  2. ^ Reshetikhin, N.; Turaev, V. G. (1991). "Invariants of 3-manifolds via link polynomials and quantum groups". Inventiones Mathematicae. 103 (3): 547–597. Bibcode:1991InMat.103..547R. doi:10.1007/BF01239527. S2CID 123376541.
  3. ^ Turaev, V. G.; Viro, O. Y. (1992). "State sum invariants of 3-manifolds and quantum 6j-symbols". Topology. 31 (4): 865–902. doi:10.1016/0040-9383(92)90015-A.
  4. ^ Turaev, Vladimir G. (1990). "State sum models in low-dimensional topology". In: Proc. ICM Kyoto. Vol. 1. pp. 689–698.