Past Events

Bounded harmonic functions on groups (and their alter ego, the Poisson boundary)—bounded functions such that f(x) is the average of f(xa), where a is chosen from some probability measure—are objects of key importance in random walks, dynamics, and...

Phylogenetic trees are mathematical objects that encode information about ancestry relationships and are often used in the interpretation of genomic data. They have proved especially useful for advancing our understanding of pathogen populations that...

We have all been treated to the excitement of a good science story. Think Discovery Channel or National Geographic. The stories are really engaging! Well, the very same tools and techniques that make great science stories can be used to strengthen...

This is the second part of an introduction to Poisson geometry. In this part, I will discuss the geometry of Poisson manifolds, such as their symplectic leaves, through the use of illustrative examples. I will also briefly discuss the quantization of...

We obtain upper bounds for the Steklov eigenvalues of warped products Ω × h Σ , where Ω is a compact Riemannian manifold with boundary and Σ is a closed Riemannian manifold, under assumptions on the L p -norm of the warping function h . The upper...

The first half of the talk will center on modeling the interplay between human behavior and disease outbreaks, as well as discussing survey-collected human behavior data from all 50 states of the United States during the first two years of the COVID...

We investigate the Steklov eigenvalue problem in the exterior of a bounded Euclidean domain. In particular, we prove the equivalence of several formulations of this problem previously proposed in the literature. We derive geometric eigenvalue...

Hilbert's metric was first introduced by Hilbert, as the name suggests, in the 19th century in order to study metrics on subsets for which straight lines are geodesics. This is related to Hilbert's 4th problem. By the work of G. Birkhoff, these...

Low-rank methods have proven their utility as a complexity reduction technique for kinetic equations, both in the collisionless and collisional regimes (see, e.g., the recent review article https://doi.org/10.1016/j.jcp.2025.114191). Since the...

In his seminal 1973 thesis, Philippe Delsarte identified two important families of association schemes deserving of in-depth study: the P-polynomial association schemes and the Q-polynomial association schemes. P-polynomial association schemes are...