Past Events

Influential work of Hodge from the 1940s led the way in using Gröbner bases to combinatorially study the Grassmannian. In this talk, we will follow Hodge's approach in order to investigate certain subvarieties called positroid varieties. Positroid...

In the colored asymmetric simple exclusion process, one places a particle of "color" −k at each integer site k∈ℤ. Particles attempt to swap places with an adjacent particle: at rate q∈[0,1) if they are initially ordered (e.g., 1 then 2) and at rate 1...

The Moran process models the evolutionary dynamics between two competing types in a population, traditionally assuming a fixed population size. We investigate an extension to this process which adds ecological aspects through variable population...

In this talk, I will discuss recent progress on the directed Oberwolfach problem. A directed variant of the famous Oberwolfach problem, the directed Oberwolfach problem considers the fol- lowing scenario. Given m people and t round tables of size m1...

The chromatic polynomial of a graph G counts the number of proper k-colorings of G. In 1995, Stanley extended this concept to define the chromatic symmetric function of a graph, which lives in the ring Sym of all symmetric functions. Building on this...

We will present a matching upper and lower bound for the right tail probability of the maximum of a random model of the Riemann zeta function over short intervals. In particular, we show that the right tail interpolates between that of log-correlated...

In 1973, assuming the Riemann hypothesis (RH), Montgomery studied the vertical distribution of zeta zeros, and conjectured that they behave like the eigenvalues of some random matrices. We will discuss some models for zeta zeros � starting from the...

We study the question of when a generic stably free module splits off a free summand of a given rank. This question has the following geometric interpretation due to M. Raynaud. Let V(r,n) denote the Stiefel variety GL(n)/GL(n-r) over a field k...

It was proposed in the works of Reid in the mathematics literature and Candelas-Green-Hubsch in the string theory literature to connect Calabi-Yau threefolds with different topologies by a process which degenerates 2-cycles and introduces new 3...

Understanding mechanisms of coexistence is a central topic in ecology. Mathematical analysis of models of competition between two identical species moving at different rates of symmetric diffusion in heterogeneous environments show that the slower...