Past Events

This is joint work with Jeffrey Dawson, Linyuan Lu and Attila Sali. We define simple matrices as those whose entries are chosen from {0,1,2} and for which no columns are repeated. We consider the extremal problem of how many columns can an m-rowed...

The relationship between independence number, chromatic number, clique number, clique cover number and their fractional analogues is well-established for perfect graphs. Here, we study the clique k-cover number cck(G) and the fractional clique k...

A video of this event is available on mathtube.org Azumaya algebras over a commutative ring R are generalizations of central simple algebras over a field k, and both are "twisted matrix algebras". In this, they bear the same relationship to a...

For the local time L_t^x of super-Brownian motion X starting from \delta_0, we study its asymptotic behavior as x\to 0. In d=3, we find a normalization \psi(x)=((2\pi^2)^{-1} \log (1/|x|))^{1/2} such that (L_t^x-(2\pi|x|)^{-1})/\psi(x) converges in...

During early vertebrate embryogenesis, neural crest cells (NCCs) migrate in clusters from the neural tube to various target locations over long distances. Their collective migration is tightly regulated by environmental signals and intercellular...

This is the second of a two part expository talk on the Balog-Szemerédi-Gowers theorem. This theorem, originally due to Balog and Szemerédi and later strengthened by Gowers, is one of the most important tools in additive combinatorics, with...

The Allen--Cahn equation is a semi-linear PDE that produces minimal surfaces via a certain singular limit. We will describe recent work proving index, multiplicity, and curvature estimates in the context of an Allen--Cahn min-max construction in a 3...

The 25th West Coast Operator Algebras Seminar will take place at Seattle University on October 6-7, 2018. The conference will start on Saturday morning and conclude Sunday afternoon. The West Coast Operator Algebras Seminar promotes the vitality of...

The affine Grassmannian, though a somewhat esoteric looking object at first sight, is a fundamental algebro-geometric construction lying at the heart of a series of ideas connecting number theory (and the Langlands program) to geometric...

I will discuss results and open problems about harmonic functions for finitely generated groups, with an emphasis on polynomial vs. super-polynomial growth. By "polynomial growth" I am implying to at least two different notions: 1. The volume growth...