Past Events

It is expected that a general K3 surface does not admit self rational maps of degree > 1. I'll give a proof of this conjecture for K3 surfaces of genus at least 4.

We seek to build a computational model for the simplified Mammalian Cochlea with the standard coupled fluid-plate equations as our base. Physiological data shows a clear wave nature in the response of the basilar membrane to stimulus. We seek to...

Given a homogeneous Poisson point process it is well known that selecting each point independently with some fixed probability gives a homogeneous Poisson process of lower intensity. This is often referred to as thinning. Can thinning be achieved...

We propose a hybrid method for solving large sparse linear least squares problems. The method is iterative in nature, as it is based on preconditioned LSQR. However, the preconditioner comes from an orthogonal factorization of a submatrix of the...

Consider a nonlinear Schr\"{o}dinger equation in $\mathbb{R}^3$ with a short-range potential. The linear Hamiltonian is assumed to have three or more eigenvalues satisfying some resonance conditions. We study the asymptotic behavior at time infinity...

We investigate the d-dimensional grid graph [m]x[m]x...x[m] for even m. The graph is bipartite. If we choose a subset B' of the black vertices and a subset W' of the white vertices then the graph obtained by deleting B' and W' has a perfect matching...

I will present work-in-progress on the construction of compactifications of the moduli space of curves with A_k-singularities. These spaces conjecturally give moduli interpretations of certain log canonical models of the moduli space of curves. This...

This talk is based on a series of five lectures given by Doug Ulmer at the Park City Mathematics Institute in 2009. I will present Ulmer's proof that elliptic curves over function fields can have arbitrarily high Mordell-Weil rank.

In this talk, through basic examples, I will try to illustrate how various classical problems of analysis arise when modeling the interactive motion of a fluid and a rigid structure: well-posedness, stability, asymptotic analysis, control and inverse...