Past Events

In 1986, Wilf posed the following question ``Which graphs have eigenvectors with entries solely -1 and +1?''. Stevanovic (2016) showed that the problem of finding such graphs is NP-Hard. Caputo, Khames, and Knippel (2019) described all graphs whose...

Plato and Aristotle stated different conceptions of the good: mathematical order vs. human flourishing. These come together to the extent that mathematics promotes life, that mathematical language enables collectives to make sense of the world and...

If A and B are two geometric progressions, we characterize all 3-term arithmetic progressions in the sumset A+B. Somewhat surprisingly, while mostly elementary, this appears to require quite deep machinery from Diophantine Approximation.

Given graphs $G$ and $H$ and a positive integer $q$, an $(H,q)$-coloring of $G$ is an edge-coloring in which each copy of $H$ receives at least $q$ colors. Erdős and Shelah raised the question of determining the minimum number of colors, $f(G,H,q)$...

Alternating sign matrices (ASMs) were introduced by Robbins and Rumsey in the early 1980s. Together with Mills they conjectured an enumerative formula for the number of ASMs of size n×n, which was proved independently by Zeilberger and Kuperberg...

In the past decade, (artificial) neural networks and machine learning tools have surfaced as game changing technologies across numerous fields, resolving an array of challenging problems. Even for the numerical solution of partial differential...

Spitzer (1958) showed that the trace of reflected Brownian motion on the upper half space on its boundary is a Cauchy process. More generally, every symmetric stable process in n-dimensional Euclidean space can be obtained as a trace process of a...

Recent advances in computational transport have led to powerful applications in various domains. We will present here two recent methods and algorithms that leverage the evaluation of Wasserstein distances and barycentric projections from transport...

In various contexts explicit formulas relate sums over primes (eg: numbers or ideals) to sums over zeros of some corresponding L-function(s). The aim of this talk is to explain how we tightly approximate these sums over zeros in the context where one...

This talk will primarily be on a generalization of the so-called "HKR theorem". The classical HKR theorem concerns two different ways of generalizing the notion of differential forms on a ring; the theorem asserts they agree. I will give a...