Upcoming Events

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...

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...

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...

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...

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...

I will review some aspects of degeneration technique in curve counting problems via Gromov-Witten and Donaldson-Thomas theories. This has been one of the major tools in developments in both theories and computing the invariants. I will then talk...

TBA

TBA

I will describe an approach to constructing a compact moduli space of hyperplane arrangements use logarithmic and tropical geometry.

Let F(x, y) be a binary form of degree at least 3 which is irreducible over the rationals. For any fixed non-zero integer m, Thue showed that the equation F(x, y) =m has at most finitely many solutions in integers x, y. I will discuss some...