Analysis and Beyond

Celebrating Jean Bourgain's Work and Impact

Published 2016

Introductions - Robbert Dijkgraaf and Gigliola Staffilani

In 2016, the Institute celebrated the work and impact of Jean Bourgain, IBM Von Neumann Professor in the School of Mathematics and member of the Faculty since 1994. Recipient of the Fields Medal and the Shaw Prize, among numerous other awards, Bourgain is revered for the exceptional range, depth, and power of his mathematical work, which has brought about lasting change in the field. One of the most prolific and important mathematicians of our generation, Bourgain has an extraordinary ability to bring a new perspective to long-standing questions in numerous areas of mathematics, including number theory, probability theory, and statistical physics, which have been permanently shaped by his contributions. 

Analysis and Beyond: Introduction by Robbert Dijkgraaf, IAS Director and Leon Levy Professor and Gigliola Staffilani

Super-Approximation and Its Applications by Alireza Salehi Golsefidy

Thin Groups and Applications by Alex Kontorovich

Concatenating Cubic Structures by Tamar Ziegler

Working with Bourgain by Enrico Bombieri

Sums of Three Squares and Lattice Points on the Sphere by Jean Bourgain

The Polynomial Method and the Restriction Problem by Larry Guth

Decouplings and Applications: A Journey from Continuous to Discrete by Ciprian Demeter

Combinatorics of Boolean Functions, and Some Applications by Gil Kalai

Algebraic Related Structures and...and Analysis by Vitali Milman 

On Sidon Sets by Gilles Pisier