Past Events

In this talk, we start by recalling the well-known problem of multivariate approximation by polynomials of total degree, concerning finding good points for interpolation. This allowed the discovery of the Padua Points, the first set of unisolvent and...

Secure online communications and financial transactions depend on public key cryptography—but the methods we use today are susceptible to attack by quantum computers. When that will happen is uncertain, though estimates range from 5 to 25 years. This...

Isogenies between elliptic curves have attracted a lot of attention, and over finite fields the structures that they generate are fascinating. For supersingular primes, isogeny graphs are very connected. For ordinary primes, isogeny graphs have a lot...

An F-decomposition of a graph G is a set of subgraphs of G, each isomorphic to F, whose edge sets partition the edge set of G. I will speak about a result showing that, for each odd k ≥ 5, any graph G of sufficiently large order n with minimum degree...

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...