Past Events

In 3D modeling, medical imaging, and other disciplines, popular techniques for geometry processing often rely on mathematical models for surface geometry, viewing shapes as thin sheets embedded in $\mathbb{R}^3$; this construction neglects the fact...

After a review of n-by-n permutation matrices and n-by-n alternating sign matrices (ASMs), and their relationship, we will discuss the cones that they generate and their Hilbert Bases.

Given positive integers $p,q$ where $p$ is even and $p\geq 2q$, a circular $\frac{p}{q}$-flow in a mono-directed signed graph $(G, \sigma)$ is a pair $(D, f)$ where $D$ is an orientation on $G$ and $f: E(G)\to \mathbb{Z}$ satisfies that for each...

Modern machine learning has had remarkable success in all kinds of AI applications, and is also poised to change fundamentally the way we do research in traditional areas of science and engineering. In this talk, I will give an overview of some of...

In the past century, the studies of moments of L-functions have been important in number theory and are well-motivated by a variety of arithmetic applications. This talk will begin with two problems in elementary number theory, followed by a survey...

Agent-based models are widely used in numerous applications. They have an advantage of being easy to formulate and to implement on a computer. On the other hand, to get any mathematical insight (motivated by, but going beyond computer simulations)...

I'll begin by describing shifts of finite: topological dynamical systems based on some simple combinatorial data. These have played a fundamental role in hyperbolic dynamics. I will then describe a new construction of factors (quotients) of such...

Biodegradation in soils has many implications for humankind. The importance of studying this process relies upon, for example, the impact of global warming, increasing food security and mitigating soil degradation. From the diverse problems to tackle...

“What kind of rings can be represented as singular cohomology rings of spaces?” is a classic problem in algebraic topology, posed by Steenrod. When the rings are polynomial, this problem was especially well studied by various approaches, and finally...