Calculus, Real Fewnomials, and P vs NP
We review a beautiful 17th century result by the philosopher Rene Descartes: a univariate real polynomial with t monomial terms has no more than t-1 positive roots. We then see […]
We review a beautiful 17th century result by the philosopher Rene Descartes: a univariate real polynomial with t monomial terms has no more than t-1 positive roots. We then see […]
In 2007, Dr. Maria D'Orsogna learned of proposed oil activities in her home region of Abruzzo, Italy. Century-old wineries were to be uprooted to build clusters of oil wells, refineries […]
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 […]
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 […]
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 […]
The Field Committee Meeting is our chance to socialize with our colleagues and coordinate our course offerings for the coming academic year (2020-2021). Please come to discuss course offerings and […]
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, […]