Previous Conferences & Workshops

We develop spectral theory for the generator of the \(q\)-Boson particle system. Our central result is a Plancherel type isomorphism theorem for this system; it implies completeness of the Bethe ansatz in infinite volume and enables us to solve...

In the early 1960's Dyson and Mehta found that the CSE relates to the COE. I'll discuss generalizations as well as other settings in random matrix theory in which \(\beta\) relates to \(4/\beta\).

An isolated quantum many-body system may be a reservoir that thermalizes its constituents. I will explore an example of the interplay of this thermalization and spontaneous symmetry-breaking, in the ferromagnetic phase of an infinite-range quantum...

Motivated by questions in Social Choice Theory I will consider the following extremal problem in Combinatorial Geometry. Call a sequence of vectors of length \(n\) with \(-1\), \(1\) entries feasible if it contains a subset whose sum is positive in...

The goal of (general-purpose) program obfuscation is to make an arbitrary computer program "unintelligible" while preserving its functionality. The problem of program obfuscation is well studied both in theory and in practice. Though despite its...

I will present some recent joint work with Richard Siefring on the behavior of finite energy foliations under the action of a 0-surgery (i.e. a connect sum) and a 2-surgery. We will then discuss applications to the restricted three body problem.

I will explain how to use Deligne's theory of nearby cycles over general bases to prove Thom-Sebastiani type theorems.