Some of my publications:
  • Quantum Calabi-Yau and Classical Crystals .(with A. Okounkov, and C. Vafa )
  • Hopf algebras with trace and representations .(with C. De Concini, C.Procesi, and M.Rosso )
  • Invariants of tangles with flat connections in their complements.I. Invariants and holonomy R-matrices.(with R.Kashaev )
  • Invariants of links with flat connections in their complements.II. Holonomy R-matrices related to quantized universal enveloping algebras at roots of 1. (with R.Kashaev )
  • Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems.
  • Symmetrically Factorizable Groups and Set-Theoretical Solutions of the Pentagon Equation.(with R.Kashaev )
  • Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. (with A. Okounkov )
  • Integrability of characteristic Hamiltonian systems on simple Lie groups with standard PoissonLie structure.
  • Quantum Invartant Mesures. (with M.Yakimov )
  • Deformation Quantization of Kahler Manifolds. (with L.Takhtajan )
  • Deformation Quantization of Lagrangian Fiber Bundles. (with M.Yakimov )
  • Factorization dynamics and Coxeter-Toda lattices. (with T. Hoffmann , J. Kellendonk and N. Kutz )
  • The q-characters of representations of quantum affine algebras and deformations of W-algebras. (with E.Frenkel )
  • Deformations of W-algebras associated to simple Lie algebras (with E.Frenkel )
  • Towards Deformed Chiral Algebras (with E.Frenkel )
  • Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras I. The case of Virasoro algebra (with E.Frenkel and M.A.Semenov-Tian-Shansky)
  • Quantization of the Algebra of Chord Diagrams (with J.E. Andersen and J. Mattes)
  • Semiquantum Geometry (with A.Voronov and A.Weinstein )
  • Quantum Affine Algebras and Deformations of the Virasoro and W-algebras (with E.Frenkel )

    Preprint: Numerical study of the 6-vertex model with domain wall boundary conditions