2026 Vitaly Bergelson: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	35	2804	2505	1148	965	205	4463

Vitaly Bergelson publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Vitaly Bergelson sits on this spectrum.

42 publications 537+

This scientist: 205 publications — 64th percentile

64% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Vitaly Bergelson D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Vitaly Bergelson sits on this spectrum.

30 D-Index 86+

This scientist: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Vitaly Bergelson is affiliated with The Ohio State University in the United States and has contributed extensively to the field of mathematics.

Their research spans several main fields and subfields, including:

Mathematics
Geometry and Topology
Discrete Mathematics and Combinatorics
Mathematical Physics
Algebra and Number Theory
Computational Theory and Mathematics

Main topics covered in their work include:

Limits and Structures in Graph Theory
Mathematical Dynamics and Fractals
Advanced Topology and Set Theory
Analytic Number Theory Research
Coding theory and cryptography
Semigroups and automata theory
Graph theory and applications

Vitaly Bergelson has authored numerous papers, with notable recent publications such as:

"On the interplay between additive and multiplicative largeness and its combinatorial applications" (2020) in Journal of Combinatorial Theory Series A
"Single and multiple recurrence along non-polynomial sequences" (2020) in Advances in Mathematics
"Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions" (2022) in Duke Mathematical Journal
"An Extension of Weyl's Equidistribution Theorem to Generalized Polynomials and Applications" (2020) in International Mathematics Research Notices
"Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications" (2020) in arXiv (Cornell University)

Their work has appeared frequently in publication venues including:

arXiv (Cornell University)
Israel Journal of Mathematics
Journal of Combinatorial Theory Series A
Advances in Mathematics
Duke Mathematical Journal

Frequent collaborators with whom Vitaly Bergelson has coauthored multiple papers include:

Ethan Ackelsberg
Florian K. Richter
Andrew Best
Joel Moreira
Tomasz Downarowicz

Recognition for their contributions includes the distinction of Fellow of the American Mathematical Society awarded in 2013.

Best Publications

Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

V. Bergelson;A. Leibman;A. Leibman

447
Citations
Multiple recurrence and nilsequences

Vitaly Bergelson;Bernard Host;Bryna Kra;Imre Ruzsa

307
Citations
Weakly mixing PET

V. Bergelson

265
Citations
Nonmetrizable topological dynamics and Ramsey theory

Vitaly Bergelson;Neil Hindman

158
Citations
An Inverse Theorem for the Uniformity Seminorms Associated with the Action of {{\mathbb {F}^{\infty}_{p}}}

Vitaly Bergelson;Terence Tao;Tamar Ziegler

133
Citations
Mixing actions of groups

Vitaly Bergelson;Joseph Rosenblatt

119
Citations
Distribution of values of bounded generalized polynomials

Vitaly Bergelson;Alexander Leibman

107
Citations
Partition Theorems for Spaces of Variable Words

Vitaly Bergelson;Andreas Blass;Neil Hindman

104
Citations
An ergodic IP polynomial Szemerédi theorem

Vitaly Bergelson;Randall McCutcheon

95
Citations
Set-polynomials and polynomial extension of the Hales-Jewett Theorem

Vitaly Bergelson;Alexander Leibman

88
Citations
Notions of Size and Combinatorial Properties of Quotient Sets in Semigroups

Vitaly Bergelson;Neil Hindman;Randall McCutcheon

84
Citations
Sumset phenomenon in countable amenable groups

Mathias Beiglböck;Vitaly Bergelson;Alexander Fish

79
Citations
Intersective polynomials and the polynomial Szemerédi theorem

Vitaly Bergelson;Alexander Leibman;Emmanuel Lesigne

76
Citations
Large sets of integers and hierarchy of mixing properties of measure preserving systems

Vitaly Bergelson;Tomasz Downarowicz

75
Citations
A nilpotent Roth theorem

V. Bergelson;A. Leibman

73
Citations
Topics in Dynamics and Ergodic Theory: Minimal idempotents and ergodic Ramsey theory

Unknown

73
Citations
IP-sets and polynomial recurrence

Vitaly Bergelson;Hillel Furstenberg;Randall McCutcheon

71
Citations
Chapter 12 – Combinatorial and Diophantine Applications of Ergodic Theory

Vitaly Bergelson;A. LeibmanM;Anthony Quas;Máté Wierdl

71
Citations
Partition Regular Structures Contained in Large Sets Are Abundant

Vitaly Bergelson;Neil Hindman

70
Citations
Multiplicative structures in additively large sets

Mathias Beiglböck;Vitaly Bergelson;Neil Hindman;Dona Strauss

67
Citations
Convergence in ergodic theory and probability

V. Bergelson;P. March;J. Rosenblatt

37
Citations
Ultrafilters, IP sets, Dynamics, and Combinatorial Number Theory

Vitaly Bergelson

27
Citations
Intersective polynomials and polynomial Szemeredi theorem

Vitaly Bergelson;Alexander Leibman;Emmanuel Lesigne

10
Citations

Frequent Co-Authors

Terence Tao University of California, Los Angeles

Benjamin Weiss Hebrew University of Jerusalem

Michał Misiurewicz Indiana University – Purdue University Indianapolis

Andreas Blass University of Michigan–Ann Arbor

Bernard Host Université Gustave Eiffel

Tomasz Łuczak Adam Mickiewicz University in Poznań

Jean Bourgain Institute for Advanced Study

Alexander S. Kechris California Institute of Technology

External Links

Personal website of Vitaly Bergelson

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