University of Washington

The peculiar quantum-mechanical properties of the ground states of Bose gases that were predicted in the early days of quantum-mechanics have been verified experimentally relatively recently. The mathematical derivation of these properties from...

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 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 polytope is the convex hull of finitely many points. A polytope is simplicial if all of its faces are simplices. What partial information about a simplicial polytope P is enough to uniquely determine P (up to certain equivalences)? We will discuss...

Moshe’s Insanity is a fascinating puzzle based on the game Instant Insanity. It was created for the ACM ICPC competition in 1994. The premise of the puzzle is relatively straightforward: you are given eight cubes, and your task is to arrange these...

Reconstructing simplicial complexes from partial information has been a problem of interest for decades. A triangulation of a d-dimensional sphere is obtained by gluing a collection of d-dimensional simplices (“higher dimensional triangles”) along...

Density functional theory (DFT) is one of the workhorses of quantum chemistry and material science. In principle, the joint probability of finding a specific electron configuration in a material is governed by a Schrödinger wave equation. But...

The Gromov-Wasserstein (GW) distance quantifies dissimilarity between metric measure (mm) spaces and provides a natural alignment between them. As such, it serves as a figure of merit for applications involving alignment of heterogeneous datasets...

Tropicalization is a way to understand the asymptotic behavior of algebraic (or semi-algebraic) sets through polyhedral geometry. In this talk, I will talk about the tropicalization of the principal minors of positive semidefinite matrices. This...

Motivated by a conjecture of Maglione–Voll from group theory, we introduce and study the Poincaré-extended ab-index. This polynomial generalizes both the ab-index and the Poincaré polynomial. For posets admitting R-labelings (a relaxation of EL...