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...

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...

The 2k-th moments I_k(T) of the Riemann zeta function have been studied extensively. In the late 90's, Keating-Snaith gave a conjecture for the size of I_k(T). At the same time Conrey-Gonek connected I_k(T) to mean values of long Dirichlet...

In this talk we will first discuss Crowd motions in emergency evacuation setting. Then we will discuss its relevance to the transport of incompressible fluids. We formulate these motions as "gradient flows", i.e. an evolution that moves to dissipate...

In many bacteria, the segregation of their DNA is actively transported by a two protein system. One of the proteins acts as a substrate and binds to DNA in an ATP bound form, while the other stimulates its phosphatase activity, causing it to unbind...