Past Events

The nonlinear incidence mechanism is a more general disease transmission mechanism to fit the data in clinical observations or laboratory experiments. In a heterogeneous environment, how to describe the cognitive dispersal of individuals is also an...

For a noisy channel, the stationary capacity is the supremum of information rates achievable by stationary input processes. The Markov capacity of a given order is the supremum of information rates achievable by stationary Markov input processes of...

We will discuss a graph that encodes the divisibility properties of integers by primes. We prove that this graph has a strong local expander property almost everywhere. We then obtain several consequences in number theory, beyond the traditional...

The first cotangent cohomology module $T^1$ describes the first order deformations of a commutative ring. For Stanley-Reisner rings, this module has a purely combinatorial description: its multigraded components are given as the relative cohomology...

Residue calculus is, of course, a very powerful way to evaluate many different kinds of integrals. For multivariate integrals, however, it may get really cumbersome, to the point that one sometimes gets stuck in purely combinatorial complexity. I...

Diffusion methods help understand and denoise data sets; when there is additional structure (as is often the case), one can use (and get additional benefit from) a fiber bundle model. This talk reviews diffusion methods to identify low-dimensional...

Mathematical transcendence refers to objects (usually numbers or functions) that do not satisfy any polynomial equation, that is, they are not algebraic. The numbers $\pi$ and $e$ are famous transcendental numbers, and $e^x$ and the Gamma function...

In 2017, Ron Aharoni proposed the following generalization of the Caccetta-Häggkvist conjecture: if G is a simple n-vertex edge-colored graph with n color classes of size at least r, then G contains a rainbow cycle of length at most the ceiling of n...

People interact with each other in social and communication networks, which affect the processes that occur on them. In this talk, I will give an introduction to dynamical proceses on networks. I will focus my discussion on opinion dynamics, and I...

Abelian networks a class of models from statistical physics introduced as models to help understand the complex behavior exhibited by forest fires and avalanches. In this talk we will introduce a few different Abelian networks including activated...