Past Events

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 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...

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...

The winter meeting of Oregon Number Theory Days will take place on Saturday, February 29 at Oregon State University. This is a triannual seminar rotating between Oregon State University, Portland State University, and the University of Oregon...

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...

I will describe why the trivial knot S2-->S4 has non-unique spanning discs up to isotopy. This comes from a chain of deductions that include a description of the low-dimensional homotopy-groups of embeddings of S1 in S1xSn (for n>2), a group...

Consider two translation-invariant continuous-time processes X=(X_t) and Y=(Y_t). The two processes are isomorphic if there exists an invertible (bimeasurable) map from X to Y which commutes with translations. The map is finitary if in order to...