Cynthia Vinzant

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...

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...

Real stable polynomials define real hypersurfaces with special topological structure. These polynomials bound the feasible regions of semidefinite programs and appear in many areas of mathematics, including optimization, combinatorics and...