Past Events

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 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...

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...

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...

The study of the cohomology of line bundles on (partial) flag varieties is an important problem at the intersection of algebraic geometry, commutative algebra, and representation theory. Over fields of characteristic zero, this is well-understood...

In this talk, I'll introduce the Simply Typed Lambda Calculus (STLC), describing how it connects constructive propositional logic and computation. I then discuss how Cartesian Closed Categories serve as models of the STLC, and how the categorical...

In my talk I am going to present the ways Bowen's method of thermodynamic formalism can be extended and applied to settings other than the one we covered in the seminar last term. In particular, I am going to expand on Bowen's original motivation...

Abstract: In my talk I am going to present the ways Bowen's method of thermodynamic formalism can be extended and applied to settings other than the one we covered in the seminar last term. In particular, I am going to expand on Bowen's original...

After a brief review of the modular method, in this talk we will explain how hyperelliptic curves have emerged as an important tool in recent years to approach generalized Fermat equations.