Past Events

How can we convince non-math majors that vector spaces are cool? How can we design activities that lead to heated debate and audible gasps in our calculus classrooms? When students are curious, they learn better. But helping students see value in an...

Many problems in discrete geometry can be conveniently encoded by a structure known as a semialgebraic graph. These problems include the Erdős unit distance problem and many of its variants, point-line incidence problems studied by Szemerédi–Trotter...

A vibrant and classic area of research is that of relating the size of a set to the finite point configurations that it contains. Here, size may refer to cardinality, dimension, or measure. It is a consequence of the Lebesgue density theorem, for...

Mathematical models of human interactions are important and widely used in epidemiology and many other fields, but building and working with these models at scale is challenging. I will explain two software tools for doing this, both based on...

Reduced density matrix theories offer a promising tool to circumvent the exponential scaling of the N-fermion Hilbert space with the system size and it is conceptually well-suited to describe strongly correlated many-particle systems, a central...

This talk will cover the existence of a third solution through the Mountain Pass Lemma when the boundary data of the problem decreases below a threshold value. Meanwhile, an evolutionary perspective of the stability-instability of a solution of the...

Anosov flows are a standard model for strongly chaotic behavior in dynamical systems. A classical example is the geodesic flow on a compact negatively curved Riemannian manifold. The chaotic behavior of an Anosov flow manifests in decay of...

Szemerédi's regularity lemma and its variants are some of the most powerful tools in combinatorics. For example, Szemerédi used an early version in the proof of his celebrated theorem on long arithmetic progressions in dense sets of integers. It has...

Finding and enumerating Boolean intervals in $W(\mathfrak{S}_n)$, the weak order of symmetric group $\mathfrak{S}_n$, can feel like trying to find needles in a haystack. However, through surprising connection to the outcome map of parking functions...

Single particle cryo-EM is an increasingly popular technique for determining 3-D molecular structures at high resolution. The 2017 Nobel Prize in Chemistry was awarded to three of the pioneers of cryo-EM, and already in the early stages of the global...