Natalia V. Tsilevich

Associate Professor

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

By appointment

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

- Representation theory;
- Asymptotic combinatorics;

- 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.
- 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. - V.Tsilevich, Quantum inverse scattering method for the q-boson model and symmetric functions, Funct. Anal. Appl.,
**40**, No. 3 (2006), 207-217. - 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.