Past Events

The idea of this event is to offer graduate students in Statistics and Actuarial Science with an opportunity to attend a seminar with accessible talks providing them an introduction to active areas of research in the field. For three students from...

My talk will be on boundary integral methods, which is a class of powerful methods for solving certain elliptic PDEs, such as the Laplace, Helmholtz and Stokes equations. These methods require efficient and accurate evaluation of singular and nearly...

Two models involving bulk diffusion coupled to nonlinear reactions localized to the boundary are presented. For each of them, a combination of analytical and numerical methods exhibits a variety of exotic dynamics including in-phase and anti-phase...

The subject of critical phenomena in statistical mechanics is a rich source of interesting and difficult mathematical problems that touch on combinatorics, probability, and mathematical physics. Self-avoiding walks and lattice spin systems provide...

Richard Stanley introduced the chromatic symmetric function X_G of a simple graph G, which is the sum of all possible proper colorings with colors {1,2,3,...} coded as monomials in commuting variables. These formal power series are symmetric...

We prove that the lump solution of the classical KP-I equation is nondegenerate and its Morex index is one. As a consequence, it is orbital stable.

The inverse Galois problem asks whether every finite group occurs as the Galois group of an extension of the rational numbers. In 2002, Malle made this existential question more numerical, by conjecturing an asymptotic formula on the growth of the...

The approach of Nigel Gay for estimating the coverage of multivalent vaccine (MMR = measles, mumps, rubella) out antibody prevalence data leads to a polynomial system of equations of degree six describing a generically 2:1 covering of the 7...

I will explain some new techniques for computing the homology of braid groups with coefficients in a certain class of exponential representations that arise in a natural way from braided monoidal categories. Surprisingly (at least to me), these...

We present a new condition for the existence of long-range order in discrete spin systems, which emphasizes the role of entropy and high dimension. The condition applies to all symmetric nearest-neighbor discrete spin systems with an internal...