Past Events

The Lévy–Khintchine formula relates an infinitely divisible probability measure to its Lévy measure, which controls the jumps of the associated Lévy process. If the Lévy measure is well behaved then the two measures are asymptotically equivalent (the...

What has homological mirror symmetry ever done for you? I will give my personal answer to that question and discuss joint work in progress with Liam Watson and Artem Kotelskiy concerning the behaviour of Khovanov homology under Conway mutation.

After a general overview of some open questions on arboreal Galois representations, we will present some recent work on the positive-characteristic case.

Antiretroviral therapy (ART) effectively controls HIV infection, suppressing HIV viral loads to levels undetectable using commercial testing. Typically, suspension of therapy is followed within weeks by rebound of viral loads to high, pre-therapy...

This will be an introduction to the single- and double-dimer models, which arise in many places in mathematics (including in equivariant localization calculations of enumerative invariants).

Schrodinger operators with delta-function potentials have a long history in the literature and also receive renewed interest in other areas, such as the Kardar–Parisi–Zhang equation. Such operators have the characteristics for allowing closed...

An attempt to explain Langlands' contributions to non-experts.

In this joint work with Xingzhe Li, we prove the strong Morse inequalities for the area functional in the space of embedded tori and spheres in the three sphere. As a consequence, we prove that in the three dimensional sphere with positive Ricci...

Let F(x, y) be a binary form of degree at least 3 which is irreducible over the rationals. For any fixed non-zero integer m, Thue showed that the equation F(x, y) =m has at most finitely many solutions in integers x, y. I will discuss some...

We will discuss the well-known isotopy problem in symplectic geometry in dimension four. Given a compact symplectic four manifold with a fixed symplectic class, a long standing problem is to ask whether all symplectic forms in the cohomology class...