Colloquium

A fascinating fact on mathematics is that there are many interesting connections between seemingly different mathematical disciplines. In this talk, I will present a surprising formula counting integral points on […]

Silica-based glasses are increasingly becoming vital components in our current technology, from optical data transmission lines, to electronics, to optical lenses, to smartphone screens. These materials are inherently brittle and subject to failure under shock, non-equilibrium stress states, or corrosive environments.  Identifying new compositions and processing conditions that result in improved fracture resistance (i.e. a […]

UNAIDS has proposed an ambitious strategy for ending the HIV pandemic. Their strategy depends upon achieving a treatment coverage goal of 90% by 2030. However, distance to healthcare and lack of transportation are major barriers to accessing HIV treatment in SSA. I will use data-based geospatial modeling to determine their potential impact as barriers to […]

In today's environment of universal connection and media updates, we are constantly informed about infectious diseases and the ramifications. We can combat infectious diseases using mathematics to gain insight into […]

In general terms, a Tauberian theorem deals with the relationship between the properties of one transform of a measure with those of another transform. We will introduce the notion of […]

In this talk, we'll discuss the problem of constructing meaningful distances between probability distributions given only finite samples from each distribution.  We approach this through the use of data-adaptive and […]

What do swarm robotics and political redistricting have in common? One answer is Markov chains, which have recently been used in very different ways to address problems in both these […]

Knotting in living organisms is a feature that is visible to the careful observer of biological life.  Since the 1970’s, with the increasing power of electron microscopes, scientists have been able […]

Many problems, arising in discrete and metric geometry, signal processing, physics, etc, can be reformulated as questions of optimizing discrete or continuous measures. We shall review some of such conjectures, […]

Opioid addiction has become a national health crisis in recent years, with involvement in 66% of all drug overdose deaths in 2016 and high economic costs. In contrast to the […]

In 1897, Indiana physician Edwin J. Goodwin believed he had discovered a way to square the circle, and proposed a bill to Indiana Representative Taylor I. Record which would secure […]