Vitaly Bergelson

Vitaly Bergelson (born 1950 in Kiev Among Bergelson's best known results is a polynomial generalization of Szemerédi's theorem. The latter provided a positive solution to the famous Erdős–Turán conjecture from 1936 stating that any set of integers of positive upper density contains arbitrarily long arithmetic progressions. In a 1996 paper Bergelson and Leibman obtained an analogous statement for "polynomial progressions". The Bergelson-Leibman theorem and the techniques developed in its proof spurred significant further applications and generalizations, particularly in the recent work of Terence Tao.

In 2012, he became a fellow of the American Mathematical Society.