Werschik studied from 1951 at the University of Saint Petersburg ( then Leningrad ) and was there after an interruption from 1956 to 1958 in computing the service of the Navy from 1958 PhD student in the Faculty of Mathematics and Mechanics. In 1963 he received his PhD ( Gaussian dynamical systems ) and in 1974 he completed his habilitation ( Approximation in measure theory ) there with Vladimir Rokhlin. From 1962 he taught at the Leningrad State University. In 1985, he received a full professorship there and is now (2009 ) a professor of Analysis. Since 1992 he has been at the Steklov Institute in Saint Petersburg ( Pomi ), where he heads the Department Representation Theory and Computational Mathematics. 1985 to 2008 he headed the department of Mathematics in Science House in Saint Petersburg and from 1998 to 2008 he was president of the St. Petersburg Mathematical Society. He has been a visiting professor at the University of California, Berkeley ( Miller Visiting Professor 1994/95 ) and in 2008 he was a professor at MSRI Simons.
Werschik deals with representation theory and its applications, dynamical systems, ergodic theory, probability theory, measure theory, geometry (convex geometry, Sub- Riemannian geometry, discrete geometry), mathematical optimization, and combinatorics. He has authored over 220 research articles and edited volumes were 15 out ( 2009). Is known is his work on the longest increasing subsequence in combinatorics. In the early 1970s, he dealt with the classification of filtrations and showed that it is not isomorphic are on the same probability space and introduced a standard filtrations.
In 2008 he received the Humboldt Research Award. He was invited speaker at the ICM 1974 in Vancouver (but was able to lecture there - about dynamic systems - non-hold) and 1994 in Zurich ( Asymptotic combinatorics and algebraic analysis). He is a Fellow of the American Mathematical Society.
His doctoral include Dmitri Burago and Sergey Fomin.
He is married and has one daughter.