Past Professor

# Jean Bourgain

School of Mathematics

Affiliation

Mathematics

Website

Jean Bourgain’s work touches on many central topics of mathematical analysis: the geometry of Banach spaces, harmonic analysis, ergodic theory, spectral problems, and nonlinear partial differential equations from mathematical physics. His contributions have solved longstanding problems in convexity theory and harmonic analysis such as Mahler’s conjecture and the lambda-p set problem. His work has had important consequences in theoretical computer science, group expansion, spectral gaps, and the theory of exponential sums in number theory, including a complete solution of Vinogradov’s theorem in analytic number theory after more than eighty years. In Hamiltonian dynamics, he developed the theory of invariant Gibbs measures and quasi-periodicity for the Schrödinger equation.

Fields Medalist, 1994

Dates at IAS

*Faculty*

- Mathematics

Degrees

Vrije Universiteit Brussel

*Habilitation,**1979*
Vrije Universiteit Brussel

*Ph.D.,**1977*Honors

Awards: AMS Steele Prize for Lifetime Achievement 2018; Breakthrough Prize in Mathematics 2017; Academia Nazionale dei Lincei, Antonio Feltrinelli International Prize for Mathematics 2016; Belgian Federal Government, Baron 2015; Crafoord Prize in Mathematics 2012; Shaw Prize in Mathematics 2010; Ukraine Academy of Sciences, Vernadsky Gold Medal 2010; Fields Medal 1994; Ostrowski Prize 1991; Élie Cartan Prize 1990; Académie des Sciences, Institut de France, Langevin Prize 1985; A. De Leeuw-Damry-Bourlart Prize 1985; National Fund for Scientific Research, Belgium, Empain Prize 1983

Memberships: Academia Europaea; Académie des Sciences, Institut de France; National Academy of Sciences; Polish Academy of Sciences; Royal Swedish Academy of Sciences

Appointments

University of California, Irvine
2016

*Distinguished Visiting Professor*
University of California, Berkeley
2012

*Chern Visiting Professor*
University of Illinois
1985–2006

*J. L. Doob Professor of Mathematics*
Institut des Hautes Études Scientifiques
1985–1995

*Professor*
Vrije Universiteit Brussel
1981–1985

*Professor*
National Fund for Scientific Research, Belgium
1975–1981

*Research Fellow*