Past Events

Manin’s conjecture is a conjectural asymptotic formula for the counting function of rational points on Fano varieties over global fields. Mainly with Brian Lehmann, I have been studying exceptional sets arising in this conjecture. In this talk I...

Take the moment curve in R^n. Let E be a fractal set of Hausdorff dimension s. We will discuss the orthogonal projection of E along tangent lines of the moment curve, in particular, their Hausdorff dimensions.

Papadakis and Petrotou showed that anisotropy of a quadratic form implies the Hard Lefschetz theorem for simplicial spheres in characteristic 2. In this talk, I will explain how we used an integration map to define a mixed volume on spheres, which is...

Some of the most remarkable achievements of science are the mind-boggling measurements it has contributed throughout history to our collective understanding of the universe. For example, a simple Google search will reveal that the radius of our...

In this talk, I will introduce an SIS patch endemic model with cognitive dispersal. When $\mathcal{R}_0>1$, I give a sufficient condition for the uniqueness of endemic equilibrium. At the unique endemic equilibrium, I prove that the disease...

I will talk about recent work towards a conjecture of Gonek regarding negative shifted moments of the Riemann zeta-function. I will explain how to obtain asymptotic formulas when the shift in the Riemann zeta function is big enough, and how we can...

The 2022 Pacific Rim Mathematical Association Congress will be take place in Vancouver, Canada, between December 4-9, 2022. The fourth meeting will be hosted by the Pacific Institute for the Mathematical Sciences (PIMS). Every four years...

The Hurwitz zeta function $\zeta(s, \alpha)$ is a shifted integer analogue of the Riemann zeta function which shares many of its properties, but is not an ”L-function” under any reasonable definition of the word. We will first review the basics of...