Past Events

A deformation quantization of a manifold is a noncommutative deformation of its algebra of functions; the idea originated in physics, as a way of relating the classical and quantum descriptions of mechanical systems. At leading order in the...

In this talk we see how representation theory can be used in numerical methods for partial differential equations (PDEs) and how numerics can give more efficient methods for computational problems in representation theory. In particular, we will see...

Pathogens can cause long-term damage to their hosts, leading to potentially elevated mortality after recovery. While such ‘post-infection mortality’ may be widespread, its ecological and evolutionary dynamics remain largely unexplored. In this talk...

Let X be an algebraic variety defined over a number field K such that the set of K -rational points X ( K ) is Zariski dense in X . For example, we could take X = P N to be projective space. Let f : X → X be a surjective endomorphism of X defined...

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...

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...