Jean Bourgain’s Relatively Lesser Known Significant Contributions

A great mathematician is no longer with us.

Terry Tao has blogged about Bourgain’s death and mentioned some of his more recent significant contributions, such as the proof of Vinogradov’s conjecture with Guth and Demeter. He was of course very prolific and his work spanned many areas. There are a few questions at mathoverflow (e.g., here and here) regarding his technical contributions.

I am sure there are some of his contributions that may not be as widely known, but deserve to be so. Perhaps focusing on results with unexpected aplications may be a good start, but any answers are welcome.

I was unable to find the list of talks at the conference in his honour at the IAS mentioned and linked to in Tao’s post, but that may be just me.