Saint Petersburg, 199178, Russia, Line 14th (Vasilyevsky Island), 29
(812) 363-68-71, (812) 363-68-72
ru en
Natalia V. Tsilevich
Natalia V. Tsilevich
Associate Professor
Contacts:

29B Line 14th (Vasilyevsky Island), 199178 Saint Petersburg, Russia

natalia@pdmi.ras.ru

http://www.pdmi.ras.ru/~natalia/

Reception hours:

By appointment


Education

12.2015 — D.Sc. in Mathematics and Physics («Real, Complex, and Functional Analysis»)
Institution: St. Petersburg Department of Steklov Institute of Mathematics
Thesis title: Asymptotic Theory of Unitary Representations of Symmetric Groups and Its Applications

 

11.1998 — Ph.D. (C.Sc.) in Mathematics and Physics («Mathematical Analysis»)
Institution: St. Petersburg Department of Steklov Institute of Mathematics
Thesis title: Poisson-Dirichlet Measures and Virtual Permutations
Advisor: A.M.Vershik

 

06.1995 — Specialist Degree in Mathematics
Institution: St. Petersburg State University
Advisor: A.M.Vershik


Scientific interests

  • Representation theory;
  • Asymptotic combinatorics;

Selected publications

  1. V.Tsilevich, A.M.Vershik, M.Yor, An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process, J. Funct. Anal., 185, No. 1 (2001), 274-296.
  2. M.Vershik, N.V.Tsilevich, Fock factorizations, and decompositions of the L^2 spaces over general Levy processes, Russian Math. Surveys, 58, No. 3 (2003), 427-472.
  3. V.Tsilevich, Quantum inverse scattering method for the q-boson model and symmetric functions, Funct. Anal. Appl., 40, No. 3 (2006), 207-217.
  4. V.Tsilevich, A.M.Vershik, The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra $\widehat{sl}_2$, Lett. Math. Phys.,105, No. 1 (2015), 11-25.