Past Events

In a linear population model that has a unique “largest” eigenvalue and is suitably irreducible, the corresponding left and right (Perron) eigenvectors determine the long-term relative prevalence and reproductive value of different types of...

The twin prime conjecture asserts that there are infinitely many primes p for which p+2 is also prime. This conjecture appears far out of reach of current mathematical techniques. However, in 2013 Zhang achieved a breakthrough, showing that there...

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.

Certain eigenvalue problems involving the invariant Laplacian on moduli spaces have potential applications to scattering problems in physics. Green, Russo, Vanhove, et al., discovered the behavior of gravitons (hypothetical particles of gravity...

Computational convex analysis aims at computing mathematical objects commonly used in convex analysis with an emphasis on lower dimensions to facilitate visualization. The latest contributions have focused on computing the closest convex function and...

To each square-free monic polynomial $D$ in a fixed polynomial ring $\mathbb{F}_q[t]$, we can associate a real quadratic character $\chi_D$, and then a Dirichlet $L$-function $L(s,\chi_D)$. We compute the limiting distribution of the family of values...

We will introduce the research area of complex dynamics by studying the family of (complex) quadratic polynomials, $z->z^2+c$. Historically, mathematicians first studied the dynamics of {\em real} quadratic polynomials and then moved to the complex...