Past Events

The run-and-tumble motion of bacteria such as E. Coli can be represented by a kinetic equation considered with an hyperbolic scaling, and a Hopf-Cole transformation that makes the problem become non-linear. It has been proved that the asymptotic...

In this talk, I will first introduce the Monge-Ampere eigenvalue problem on general bounded convex domains and related analysis including the Brunn-Minkowski inequality for the eigenvalue. Then I will discuss the recent resolution, in joint work with...

In the past five years biotechnological innovations have enabled the measurement of transcriptome-wide gene expression in single-cells. However, the destructive nature of the measurement process precludes genuine time-series analysis of e.g...

Skeletal muscle are complex living tissues that can undergo large deformations in short periods of time. Also, it is known that small volumetric changes can occur during contraction. In this presentation we introduce a dynamic nonlinear elastic...

Molecular crowding has recognized consequences for biological function. However, there are also circumstances in which un-crowding is important that is, when molecules must evacuate from a region before a given process can occur. One example is...

The longstanding view in chemistry and biology is that high-affinity, tight-binding interactions are optimal for many essential functions, such as receptor-ligand interactions. Yet, an increasing number of biological systems are emerging that...

Given a group G the space of n-tuples of pairwise commuting elements can be assembled into a subspace Bcom(G) of the classifying space BG. This space classifies certain types of principal bundles, but unlike BG it is not always aspherical for...

A Dirichlet polynomial is a function of the form $A(t)=\sum_{n \le N} a_n n^{-it}$ where $a_n$ is a complex sequence, $N \in \mathbb{N}$, and $t \in \mathbb{R}$. For $T \ge 1$, the mean values$$\int_{0}^{T} |A(t)|^2 \, dt$$play an important role in...

A Dirichlet polynomial is a function of the form $A(t)=\sum_{n \le N} a_n n^{-it}$ where $a_n$ is a complex sequence, $N \in \mathbb{N}$, and $t \in \mathbb{R}$. For $T \ge 1$, the mean values $$\int_{0}^{T} |A(t)|^2 \, dt$$ play an important role in...

PDE models can be a powerful tool for understanding emerging structures and patterns, such as aggregates and traveling waves formed by large populations of cells. As a specific example, I will discuss myxobacteria, which, due to their co-operative...