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 diseases dynamics and outbreaks. I will focus primarily on Ebola Virus Disease, exploring different models focused on capturing various dynamics. First, I will present a […]
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 other synergistic items. Refreshments starting at 3:15, meeting at 4:15.
Several conditions are known for a self-inversive polynomial that ascertain the location of its roots, and we present a framework for comparison of those conditions. We associate a parametric family […]
Antibodies are the standard biomolecule for marking molecular structures and delivering drugs due to their specific binding capabilities. However, they are expensive to produce and their relatively large size prevents […]
Let K be a field and S = K be the polynomial ring in n variables over K. For a graded S-module M with minimal free resolution the Castelnuovo-Mumford regularity […]
Title: The BNS invariant of the fundamental group of a surface bundle over a surface. Abstract: We will discuss some new results on the Bieri-Neumann-Strebel invariant of these groups, showing […]
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 […]
TOPIC: Superheroes vs. Supercomputers Superheroes like Wonder Woman, Black Panther, Superman, and Captain Marvel, just to name a few, all have "super" power and they save the world from "super"-villains. […]
Let S be a set of k > n points in n-dimensional Euclidean space. How many parallel hyperplanes are needed to cover it? In fact, it is easy to prove that every such set can be covered by k-n+1 parallel hyperplanes, but do there exist sets that cannot be covered by fewer parallel hyperplanes? We […]
Title: Volumes and filling collections of multicurves Abstract: In this talk we will be concerned with links L in a Seifert-Fibered space N such that their projection to the base surface is a collection of curves G in minimal position. After stating a hyperbolization result, for the complement of L, in terms of G we […]
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 localized kernels, and in a variety of contexts. First, we construct locally adaptive kernels to define fast pairwise distances between distributions, with applications to unsupervised […]
Data coming from Monte Carlo experiments is often analyzed in the same way as data from more traditional sources. The unique nature of Monte Carlo data, where it is easy to take a random number of samples, allows for estimators where the user can control the relative error of the estimate much more precisely than […]
