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 a Tauberian theorm, and present our own recent theorem in this direction. Our theorem provides a uniform theory for the construction of certain localized kernels […]
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 dynamics of a classic disease or illicit drug epidemic, opioid addiction has its roots in legal, prescription medication - a fact which greatly increases 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 Indiana’s the claim to fame for his discovery. About the time the debate about the bill concluded, Purdue University professor Clarence A. Waldo serendipitously came […]
David Hilbert's Grundlagen der Geometrie is a rare example of a historical mathematics text that is still profitably read today and continues to inspire research in mathematics, computer science, and philosophy. The effort of publishing an English translation of Hilbert in 1902 involved a diverse swath of the American mathematical community. Edgar Jerome Townsend completed a first draft […]
