Past Events

The Laplacian matrix L of a signed graph G may or may not be invertible. We present an entrywise combinatorial formula for the Moore-Penrose inverse of L, obtained by deriving a combinatorial expression for the Moore-Penrose inverse of an incidence...

Join us for a the first colloquium with Professor Curtis McMullen, Fields Medalist and professor of mathematics at Harvard University. In this talk, titled "The Question Mark Function, Welding, and Complex Dynamics," Prof. McMullen will explore a...

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...

A number is called a "period" if it can be expressed as the volume of a region in Euclidean space, defined by polynomial inequalities with rational coefficients. Many famous constants, such as π, log(2) and special values of the Riemann zeta function...

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...