Past Events

Let $K$ be an algebraic number field. The Primitive Element Theorem implies that the number field $K$ can be generated over the field of rational numbers by a single element of $K$. We call such an element a generator of $K$. A simple and natural...

We will discuss a class of ideals in a polynomial ring studied by Mark Haiman in his work on the Hilbert scheme of points and discuss how they are related to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to the ORS...

We will discuss a class of ideals in a polynomial ring studied by Mark Haiman in his work on the Hilbert scheme of points and discuss how they are related to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to the ORS...

We examine the behavior of a function sampled from the invariant measure asso- ciated to the focusing discrete Non Linear Schrodinger equation, defined on a discrete torus of dimension d≥3, and nonlinearity parameter p > 4, in the infinite volume...

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 (graphs...

The many ways to model an infectious disease go from simple predator-prey Lotka-Volterra compartmentalised models to highly dimensional models. These models are also commonly expressed as the solution to a system of deterministic differential...

In this talk, we first introduce the Brumer-Rosen-Zantema exact sequence (BRZ), a four-term sequence related to strongly ambiguous ideal classes in finite Galois extensions of number fields. Then, using BRZ, we obtain some known cohomological results...

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...