Bergelson received his Ph.D in 1984 under Hillel Furstenberg at the Hebrew University of Jerusalem.

[1] He gave an invited address at the International Congress of Mathematicians in 2006 in Madrid.

[3] 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".

[4] The Bergelson-Leibman theorem[1] and the techniques developed in its proof spurred significant further applications and generalizations, particularly in the recent work of Terence Tao.