Past Events

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...

I will present some new asymptotic formulas for the sums of complex-valued multiplicative functions whose values are near 1 on primes.

We show how the method of Green and Tao can be used to obtain the correct order of magnitude for the number of k-term arithmetic progressions in the integers representable as the sum of two squares, with a similar Roth-like theorem for subsets of...

A simple random walk (SRW) on a graph is a Markov chain whose state space is the vertex set and the next state distribution is uniform among the neighbors of the current state. A graph is called recurrent if a SRW on it returns to the starting vertex...

We consolidate an unorganized point cloud with noise, outliers, non-uniformities, and in particular interference between close-by surface sheets as a preprocess to surface generation, focusing on reliable normal estimation. Our algorithm includes two...

The theory of optimal transport is concerned with phenomena arising when one matches two mass distributions in a most economic way, minimizing transportation cost of moving mass from one location to another. We consider an optimal transportation...