Past Events

In 1909, Thue proved that when $F(x,y)$ is an irreducible, homogeneous, polynomial with integer coefficients and degree at least 3, the inequality $\left\| F(x,y) \right\| \leq h$ has finitely many integer-pair solutions for any positive $h$. Because...

The generic representations of p-adic groups are used in different contexts but still carry a touch of mystery. I will explain their use, and some central results about them. Further, I will give an account on a recent work with Cunningham, Fiori and...

The quantum Bruhat graph is introduced by Brenti-Fomin-Postnikov to study structure constants of the quantum cohomology ring of the flag variety, with very rich combinatorial structures. In this talk, we provide an explicit formula for the minimal...

Generalized geometry, introduced by Hitchin in the early 2000s, has not only grown into a formalism for understanding previously mysterious constructions in physics (especially in supersymmetric sigma models) but has also led to the discovery of new...

There is an interesting connection between chemistry and graph theory. This connection is highlighted by the relationship between a energy of a molecule and the eigenvalues of its graph. In the 1970s, a chemist named Ivan Gutman introduced a concept...

A technique for efficiently describing surfaces was developed to solve the knot recognition problem. This method, using “normal surfaces”, was introduced by Kneser and applied to topological algorithms by Haken. In this talk we will show how normal...

Methane's short lifespan, high Global Warming Potential, and high anthropogenic emissions level make it the most potent greenhouse gas in terms of rapidly reducing global warming. The oil and gas sector is the most significant contributor to methane...

Building trees to represent or to fit distances is a critical component of phylogenetic analysis, metric embeddings, approximation algorithms, geometric graph neural nets, and the analysis of hierarchical data. We summarize several recent efforts to...

Equivariant elliptic cohomology generalizes from equivariant cohomology and equivariant K-theory. It has a rich structure and connections to quantum groups, mathematical physics, enumerative geometry, and algebraic combinatorics. Recently, Okounkov...

Translational tiling is a covering of a space (such as Euclidean space) using translated copies of one building block, called a "translational tile'', without any positive measure overlaps. Can we determine whether a given set is a translational tile...