Past Events

Abstract: Studying non-smooth geometric objects is a very important and modern research topic in differential geometry and geometric analysis. In particular it is interesting to know to which extent these objects can be approximated by smooth ones.In...

Abstract: The minimal heat kernel on a Riemannian manifold is conservative if it integrates to 1. If this is the case, the manifold is said to be stochastically complete. Since the heat kernel is the transition density function of Brownian motion, a...

Abstract: We address the task of reconstructing images corrupted by Poisson noise, which is important in various applications, such as fluorescence microscopy, positronemission- tomography (PET) or astronomical imaging. We focus on reconstruction...

We introduce the notion of a fat staircase and define when a skew diagram D is a sum of fat staircases. We give a collection of Schur-positivity results that may be obtained from each sum of fat staircases. Further, we determine conditions on when a...

Subcellular oscillations of Min proteins within individual cells of E. coli serve to localize division to midcell. While significant progress has been made to understand the Min oscillation both experimentally and in modeling, I will present three...

Free probability is a variation of probability theory for matrix valued random variables. It has many aspects: combinatorial, analytic, theoretical, and applied. I will discuss a problem on a graph of matrices arising from a random matrix problem in...

Define $e_{n}(t)=\{t/n\}$. Let $d_N$ denote the distance in $L^2(0,\infty ; t^{-2}dt)$ between the indicator function of $[1,\infty[$ and the vector space generated by $e_1, \dots, e_N$. A theorem of B\'aez-Duarte (2003) states that the Riemann...

In this hastily prepared talk, I will describe some preliminary results of Nathan Ng and myself that concern linear dependencies (with integer coefficients) among zeros of Dirichlet L-functions. We can show, for example, that given a Dirichlet L...