Jean Bourgain, IBM von Neumann Professor in the School of Mathematics, joined the Institute Faculty in 1994. Bourgain was awarded a Fields Medal for work that touches on several central topics of mathematical analysis—the geometry of Banach Spaces, convexity in high dimensions, harmonic analysis, ergodic theory, and nonlinear partial differential equations from mathematical physics. His work has solved longstanding problems, such as Mahler’s conjecture and the lambda-p set problem, and has had important consequences in theoretical computer science, group expansion, spectral gaps, and the theory of exponential sums.
Who makes a paper every week,
and every month a new technique,
and founds new branches every year,
and does not know the sense of fear?
And legends—whom d'you hear about?
And if you met him you'd be proud.
Of course, he made his early traces
Jean Bourgain, IBM von Neumann Professor in the School of
Mathematics, was bestowed the title of Baron by the Belgian
government in July 2015. In association with the honor, Bourgain
designed a coat of arms inscribed “In hope against hope.”
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...
Thanks to the rabbit I pulled out of my hat on my returning from the museum the other evening, I’ve been able to get back on track. But today I’m filled with a strange mixture of optimism and dread. . . . the complexity of the mathematical landscape that’s now opened up makes my head spin if I think about it for more than a few moments.
I sometimes like to think about what it might be like inside a
black hole. What does that even mean? Is it really “like” anything
inside a black hole? Nature keeps us from ever knowing. (Well, what
we know for sure is that nature keeps us from...
The study of expander graphs has been a rapidly developing
subject in discrete mathematics and computer science. Expander
graphs are sparse graphs, meaning they have few edges, with strong
connectivity properties. They have many applications...
This lecture, presented by Jean
Bourgain, IBM von Neumann Professor in the School of
Mathematics, was part of the Institute for Advanced Study’s
celebration of its eightieth anniversary, and took place during the
events related to the Schools and...
Although the concept of randomness is ubiquitous, it turns out
to be difficult to generate a truly random sequence of events. The
need for "pseudorandomness" in various parts of modern science,
ranging from numerical simulation to cryptography, has...