Past Events

I will talk about the `minimal spanning arborescence', a directed version of the Minimal spanning tree. I will explain how this naturally leads to a new type of stochastic process which we call `loop contracting random walk'. I will show how this can...

Topological insulators are novel materials which are on the one hand insulators in their bulk, yet on the other hand excellent conductors along their edge. This distinguished property, and many more, are explained via the rich topological structure...

In this talk, we will discuss the classical problem, known as Falconer's distance problem, of quantifying the minimum amount of pairwise distances associated with a given Borel set in Euclidean space. For the last 25 years, methods in harmonic...

Advances in microscopy can now provide snapshot images of individual RNA molecules within a nucleus. Decoding the underlying spatiotemporal dynamics is important for understanding gene expression, but challenging due to the static, heterogeneous, and...

We discuss the role of long Dirichlet polynomials in number theory. We first survey some applications of mean values of long Dirichlet polynomials over primes in the theory of the Riemann zeta function which includes central limit theorems and pair...

Pure mathematics and theoretical physics have a long history of mutual influence and cross-pollination. In recent times, many exciting developments have to do with the effort to better understand quantum field theory. From the physicist's perspective...

Modern physics involves beautiful and intricate mathematics, and entirely new mathematical structures often emerge from physical theories. An example of this is the concept of Airy structures, which was first introduced by Kontsevich and Soibelman in...

Waldhausen’s S_\bullet-construction gives a way to define the algebraic K-theory space of a category with cofibrations. Specifically, the K-theory space of a category with cofibrations C can be defined as the loop space of the realization of the...

Until quite recently, many points of connection between mathematics and theoretical physics focused on so-called "twists" of supersymmetric field theories. Such twists are holomorphic or topological field theories that are amenable to rigorous...

The advent of topological materials, a form of physical matter with unusual but useful properties, has brought with it unexpected new connections between pure mathematics on the one side and physics, chemistry, and material science on the other side...