Past Events

TBA

Results on a two way convection-diffusion problem; an asymptotic error analysis on a piece-wise uniform grid; and a framework for understanding quadrature errors in Finite Element Methods are presented. These results were never published, although I...

Let k be a field of characteristic p>0. I will explain how the work of Frankland and Spitzweck gives rise to Steenrod operations on the mod p motivic cohomology of smooth schemes defined over k. By comparing the operations over a base field of...

Pretend that your car is a unit line segment. How do you perform a three-point turn using an infinitesimally small area on the road? It turns out that this seemingly impossible driving stunt is related to the fundamental theorem of calculus, as well...

We will discuss Gradient flow structures in parabolic type PDEs and interface motions. Such structure introduces physical interpretations to time-dependent PDEs in terms of energy dissipation, and allows a weak notion of global-time solutions to...

Science World is pleased to introduce a new way for K to 9 teachers and teacher candidates to learn and connect with others in the teaching community around a topic in Computational Thinking. These FREE 2 hour workshops will be held after-school at...

We consider the random Cayley graph of a finite group G formed by picking k random generators uniformly at random: (1) We prove universality of cutoff (for the random walk) and a concentration of measure phenomenon in the Abelian setup (namely, that...

The many different cell types and states result in large part from the different sets of genes they express. Gene expression level is encoded in the DNA sequence of the genome, and is interpreted by sequence-specific proteins called "transcription...

A function $f:\F_2^n\to \F_2^n$ is called almost perfect nonlinear (APN) if $f(x) + f(y) + f(z) + f(x + y + z)= 0$ all $x,y,z$ such that $|\{x,y,z,x+y+z\}|=4$.. The motivation to study these functions comes from cryptography, since the defining...

We discuss some recent advances in developing meshfree methods based on radial basis function generated finite differences (RBF-FD) for numerically solving partial differential equations (PDEs) on surfaces. The primary advantages of these methods are...