Past Events

I will begin with a gentle introduction to "conformal welding" from the probabilistic viewpoint, which is at the heart of Scott Sheffields "quantum zipper" as well as Malliavin's and his coauthors work on Brownian measures on the group of circle...

Regulators of the actin cytoskeleton such Rho GTPases can modulate forces developed in cells by promoting actomyosin contraction. At the same time, through mechanosensing, tension is known to affect the activity of Rho GTPases. What happens when...

I will talk about the existence of solution to the Q-curvature problem \begin{align}\label{1} (-\Delta)^\frac n2 u=Qe^{nu}\quad\text{in }\mathbb{R}^n,\quad \kappa:=\int_{\mathbb{R}^n}Qe^{nu}dx\infty, \end{align} where Q is a non-negative function...

Eikonal equation is a fundamental nonlinear PDE that find vast applications. One particular example is to compute geodesic distance on a curved surface through solving an eikonal equation defined on the surface (surface eikonal equations). However...

Concentration waves of swimming bacteria Escherichia coli were described in his seminal paper by Adler (Science 1966). These experiments gave rise to intensive PDE modelling and analysis, after the original model by Keller and Segel (J. Theor. Biol...

For a domain X with a probability measure pX, consider reconstruction of an unknown function f using discrete least squares approximation from a linear space Vm of dimension m constructed from values f(xi), where xi are randomly drawn from X w.r.t....

Basic questions in analytic number theory concern the density of one set in another (e.g. square-free integers in all integers). Motivated by Weil's number field/function field dictionary, we introduce a topological analogue measuring the...

The term ‘anomalous diffusion’ is used in the physics literature to refer to Markov processes with the property that E|X_t-X_0|^2 grows either faster or slower than linearly. In this talk I will give a survey of results in this area, including random...

We combine models and experiments to study how embryonic cells form and stabilize polarity in response to transient cues. In this talk, I will summarize our understanding of how dynamic self-stabilizing cortical polarities emerge from a system of...

Schur functions form the most interesting and important basis for the algebra of symmetric functions. They have connections to representation theory and algebraic geometry, and satisfy a multitude of beautiful combinatorial identities. We investigate...