Past Events

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...

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...

Since shortly after the popularization of stochastic gradient optimization methods in machine learning---which now scale model training to billions of examples and beyond---researchers have been trying to use the same basic data subsampling...

A Fourier quasicrystal is a discrete subset of Euclidean space whose Fourier transform is also discrete. These sets are almost periodic, often without being periodic or even containing long arithmetic progressions. In 2020, Kurasov and Sarnak gave a...

A game represents an interaction in which a group of players make individual choices and receive individual payoffs that depend on the aggregate set of choices. We consider indefinitely repeated games with endogenous separation (meaning that players...

In this talk we introduce the mathematical setup for diffraction via the Fourier transform of tempered distributions. We cover some examples with pure point spectrum and discuss the connection between pure point spectrum and almost periodicity.

A standard topic in a somewhat more advanced graduate course in complex analysis are elliptic functions. These are doubly-periodic meromorphic functions in the complex plane. According to Liouville's basic theorems, each elliptic function has to have...

A novel statistical method is presented for the integrative analysis of Riemannian-valued and high-dimensional functional data. This model is motivated by the need to model the dependence structure between each subject's dynamic functional...