Past Events

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...

I will discuss how Steenrod operations on mod p Chow groups can be used to study problems in algebra and algebraic geometry. For quadratic forms, Steenrod squares on mod 2 Chow groups are used. Some of the problems that can be solved by studying...

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...

Since this is a student-invited seminar, I'm going to highlight three research projects led by my three senior PhD students. Each project is motivated by a distinct problem in biology. First, calcium imaging data is transforming the field of...

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...

The talk starts with a short survey on a mathematical game known as Racetrack, in which a vehicle moves in discrete rounds and can slightly modify its movement vector every round. The goal is to minimize the amount of rounds needed to attain some...

Superprocesses are measure-valued Markov processes describing the evolution of populations undergoing random spatial motion and independent branching (reproduction). In this talk I will discuss the dual relationship of superprocesses with certain...

**This event has been rescheduled from January 16 to February 7th** A large part of stochastic portfolio theory, as initiated by Robert Fernholz in the 1990s, is concerned with construction of practical equity portfolios that can beat the stock...

Computational modelling can be used to reveal insights into the mechanisms of new drugs and to develop new diagnostic tools. Here I will discuss three major diseases: diabetes, hypertension, and autism. I will talk about how we construct models to...