Previous Conferences & Workshops

This is joint work with Tom Trogdon. Here the author shows how to prove universality rigorously for certain numerical algorithms of the type described in the first lecture. The proofs rely on recent state of the art results from random matrix theory...

We will talk about the categorification of the positive half of the quantum group $\mathbb{U}_q(\mathfrak{sl}_2)$ using the module categories over NilHecke algebras. We hope to explain the idea of categorification using this example.

In this talk I will discuss a recent result showing that whenever a closed symplectic manifold admits a Hamiltonian diffeomorphism with finitely many simple periodic orbits, the manifold has a spherical homology class of degree two with positive...

I will introduce two notions that generalize the idea of real rootedness to multivariate polynomials: real stability and hyperbolicity. I will then show two applications of these types of polynomials that will (hopefully) be of interest to the CS...

I will give a brief overview of symplectic mapping class groups, then explain how one can use homological mirror symmetry to get information about them. This is joint work with Ivan Smith.

The determinant of an $n\times n$ matrix is an invariant polynomial of degree $n$ that is invariant under left and right multiplication with matrices in ${\rm SL}_n$. It generates in the sense that every other invariant polynomial is a polynomial...

Work of Kobayashi and Iovita-Pollack describes how local points of supersingular elliptic curves on ramified $\mathbb Z_p$-extensions of $\mathbb Q_p$ split into two strands of even and odd points. We will discuss a generalization of this result to...