2026 Jean Bourgain: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	105	35	25	511	42056

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

105

511

42056

Research.com Recognitions

2018 - Polish Academy of Science
2018 - Steele Prize for Lifetime Achievement
2011 - Member of the National Academy of Sciences
1994 - Fields Medal of International Mathematical Union (IMU) Bourgain's work touches on several central topics of mathematical analysis: the geometry of Banach spaces, convexity in high dimensions, harmonic analysis, ergodic theory, and finally, nonlinear partial differential equations from mathematical physics.

Overview

Jean Bourgain was affiliated with the Institute for Advanced Study in the United States. Their research primarily focused on the field of Mathematics, with work spanning several specialized subfields.

The main subfields of study covered by Bourgain included Numerical Analysis, Applied Mathematics, Discrete Mathematics and Combinatorics, Algebra and Number Theory, and Mathematical Physics.

Their research topics encompassed:

Mathematical Approximation and Integration
Limits and Structures in Graph Theory
Analytic Number Theory Research
Digital Image Processing Techniques
Computational Geometry and Mesh Generation
Advanced Harmonic Analysis Research
Nonlinear Partial Differential Equations

Bourgain had multiple published papers across different high-profile venues. Some recent publications include:

"On a multi-parameter variant of the Bellow-Furstenberg problem," 2023, Forum of Mathematics Pi
"On a multi-parameter variant of the Bellow-Furstenberg problem," 2022, arXiv (Cornell University)
Unnamed paper, 2024, Theory of Computing
"Strong approximation and Diophantine properties of Markoff triples," 2025, Journal of the American Mathematical Society

Bourgain frequently collaborated with several coauthors. Notable recurring collaborators included Mariusz Mirek, Elias M. Stein, Ciprian Demeter, James Wright, and Dóminique Kemp.

The publication venues where Bourgain's work appeared most often were:

Forum of Mathematics Pi
arXiv (Cornell University)
Theory of Computing
Journal of the American Mathematical Society

Throughout their career, Bourgain received multiple awards and recognitions:

Fields Medal of International Mathematical Union (IMU), 1994, for contributions involving mathematical analysis, including the geometry of Banach spaces, convexity in high dimensions, harmonic analysis, ergodic theory, and nonlinear partial differential equations from mathematical physics
Member of the National Academy of Sciences, 2011
Polish Academy of Science award, 2018
Steele Prize for Lifetime Achievement, 2018

Best Publications

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

J. Bourgain

2962
Citations
On lipschitz embedding of finite metric spaces in Hilbert space

J. Bourgain

795
Citations
Some remarks on Banach spaces in which martingale difference sequences are unconditional

J. Bourgain

638
Citations
A SUM-PRODUCT ESTIMATE IN FINITE FIELDS, AND APPLICATIONS

Jean Bourgain;Nets Katz;Terence Tao

591
Citations
Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case

J. Bourgain

555
Citations
Periodic nonlinear Schrödinger equation and invariant measures

J. Bourgain

551
Citations
QUASI-PERIODIC SOLUTIONS OF HAMILTONIAN PERTURBATIONS OF 2D LINEAR SCHRODINGER EQUATIONS

Jean Bourgain

547
Citations
Pointwise ergodic theorems for arithmetic sets

Jean Bourgain

546
Citations
Another look at Sobolev spaces

Jean Bourgain;Haïm Brezis;Petru Mironescu

536
Citations
New volume ratio properties for convex sym-metric bodies in IRn.

J. Bourgain;V. D. Milman

523
Citations
Global Solutions of Nonlinear Schrodinger Equations

Jean Bourgain

512
Citations
Invariant measures for the 2D -defocusing nonlinear Schrödinger equation

Jean Bourgain

487
Citations
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Unknown

480
Citations
Bounds on Oscillatory Integral Operators Based on Multilinear Estimates

Jean Bourgain;Larry Guth

479
Citations
Green's Function Estimates for Lattice Schrödinger Operators and Applications.

Jean Bourgain

469
Citations
Averages in the plane over convex curves and maximal operators

J. Bourgain

446
Citations
Besicovitch type maximal operators and applications to fourier analysis

J. Bourga'in

446
Citations
The proof of the l 2 Decoupling Conjecture

Jean Bourgain;Ciprian Demeter

445
Citations
On localization in the continuous Anderson-Bernoulli model in higher dimension

Jean Bourgain;Carlos E. Kenig

436
Citations
On Triples in Arithmetic Progression

Jean Bourgain

427
Citations
Proof of the main conjecture in Vinogradov’s Mean Value Theorem for degrees higher than three

Jean Bourgain;Ciprian Demeter;Lawrence Guth

387
Citations

Frequent Co-Authors

Haim Brezis Rutgers, The State University of New Jersey

Zeév Rudnick Tel Aviv University

Igor E. Shparlinski University of New South Wales

Peter Sarnak Princeton University

Vitali Milman Tel Aviv University

Joram Lindenstrauss Hebrew University of Jerusalem

Elon Lindenstrauss Hebrew University of Jerusalem

Elias M. Stein Princeton University

Enrico Bombieri Institute for Advanced Study

Gil Kalai Hebrew University of Jerusalem

External Links

Wikipedia of Jean Bourgain Personal website of Jean Bourgain

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