Past Events

In this talk we discuss joint work with Fatma Çiçek on establishing asymptotic formulae with power saving error term for first and second moments of Rankin-Selberg L-functions L(1/2+iμ,f⊗g) where f varies over newforms of conductor pn with p being a...

Many of the words that we use to describe biological disease are often also used to describe cyber systems (e.g. virus, infected). The overall goal of my research in this area is to see how far we can push this metaphor and what we can learn about...

Intersection theory studies the Chow ring, an algebraic structure whose elements correspond to subvarieties of a variety X, with the ring product reflecting the intersection of subvarieties in X. Thanks to the foundational work of Fulton and...

The Gan-Gross-Prasad conjecture relates special values of certain L-functions to period integrals on classical groups. Jacquet and Rallis proposed an approach through the relative trace formula, reducing the problem to two conjectures: a fundamental...

Lipschitz transport maps between two measures are useful tools for transferring analytical properties, such as functional inequalities. The most well-known result in this field is Caffarelli’s contraction theorem, which shows that the optimal...

The mathematics of origami, or paper folding, raises rich questions in combinatorics and computational geometry, particularly related to flat-foldability: given a crease pattern, represented as a planar graph, and an assignment of mountains and...

Concern for the impact of climate change on the spread and severity of infectious disease is widespread. For long-term management of global health, we need to consider parasite evolution under such environmentalchange. Vector-borne diseases are...

The Simplex method for solving linear programs (LPs) is one of the most widely used LP solvers due to the fact that it runs very quickly in practice. However, despite its practical efficiency and decades of study, it remains unknown whether or not it...

We will give an exposition on the recent progress in the study of unimodal sequences, beginning with the work of Isaac Newton and then to the contemporary papers of June Huh. We will also relate this topic to the Riemann hypothesis. In the process...

Let K be a convex body made of material of uniform density less than 1 submerged into water of density 1. How to find the directions of equilibrium of $K$? How many directions of equilibrium does a triangular prism have? (A direction n orthogonal to...