Past Events

Marginal Expected Shortfall (MES) has become a central measure for assessing systemic risk. In this talk, I trace MES back to its theoretical roots in weighted risk-capital allocation rules and show that, perhaps counterintuitively, MES can be...

The Inverse Eigenvalue Problem for Graphs (IEP-G) concerns determining all possible spectra of matrices in S(G), the set of real symmetric matrices described by a graph. Specific subproblems involve studying the maximum nullity or minimum rank, the...

Back in 1848, in a German chess magazine, Max Bezzel asked how many ways there are to place 8 queens on a chessboard so that no two queens can attack one another. This question caught the attention of many, including Gauss, and was subsequently...

Let $A$ be an abelian surface. We investigate curves in a linear system on the dual abelian surface $\hat{A}$. There is an isomorphism of moduli spaces due to Yoshioka between the space $K_3(A)$ parametrizing 0-dimensional length-4 subschemes on $A$...

Stable matching mechanisms are ubiquitous in theory and in practice, with centralized mechanisms used to match students to schools or medical residents to hospitals. It is known that imbalance in the number of agents on either side of a random...

I will discuss a microlocal analysis approach to spectral theory on asymptotically Minkowski spaces both for scalar wave operators and also for Dirac type operators. This in turn gives rise to complex powers of the operators, allowing for the...

We present the results of a combined experimental and theoretical study of the spreading of viscous droplets over rigid substrates. First, we experimentally investigate the wetting of a roughened glass surface by a viscous droplet of silicone oil...

In this talk, I will present some recent advances for analyzing stochastic optimization methods without the bounded variance assumption. It is well-known that the bounded variance assumption is violated for even the most standard problems such as...

Students of grades 5 to 7 are invited to challenge and develop their thinking and creativity skills at the Math Circle Workshops. This is an enrichment program for students organized by the faculty members of the Department of Mathematics at the...

The Briançon-Skoda theorem is a comparison relating the integral closure of powers of a finitely generated ideal with its ordinary powers. Originally proved using analytic methods for coordinate rings of smooth varieties over the complex numbers in...