Upcoming Events

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...

In this talk, I offer a brief account of my background in mathematics and academic research, and the confluence of factors that eventually led me to pursue a career in industry. I'll reflect on how my understanding of what it means to "solve a...

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...

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...

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...

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 $A$...

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...

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...

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...

Building on last week's talk, I discuss Locally Cartesian Closed Categories (LCCCs) , in which every slice category is Cartesian Closed. I describe how these categories serve model quantifiers in logic, as well as modelling type dependencies in a way...