Past Events

A tangent of a compact set is an accumulation point in Hausdorff distance given by 'zooming in' at a given point. For general compact sets, it is well-known that the Assouad dimension is characterized by dimensions of weak tangents (where the...

A collection of identical and independent rare event first passage times is considered. The problem of finding the fastest out of $N$ such events to occur is called an extreme first passage time. The rare event times are singular and limit to...

The aim of this talk about work in progress is to describe the local/separable factorization for restriction functors and for join restriction functors.

We study the existence of quantum state transfer on double subdivided star, which is obtained by joining the coalescence vertices of a pair of subdivided stars. Using the Galois group of the characteristic polynomial of a double subdivided star, we...

This is joint work with Uriya First. If $R$ is a ring and $n$ is a natural number, then an Azumaya algebra of degree $n$ on $R$ is an $R$-algebra such that $A$ becomes isomorphic to the $n \times n$ matrix algebra after some faithfully flat extension...

Let $p$ be an odd prime. We study Mazur's conjecture on the growth of the Mordell--Weil ranks of an elliptic curve $E/\mathbb{Q}$ over an imaginary quadratic field in which $p$ splits and $E$ has good reduction at $p$. In particular, we obtain...

The Gromov-Wasserstein (GW) distance quantifies dissimilarity between metric measure (mm) spaces and provides a natural alignment between them. As such, it serves as a figure of merit for applications involving alignment of heterogeneous datasets...

Let q=1 mod 4 be a prime power and let F_q be the finite field of q elements. The Paley graph of order q is the graph with vertex set F_q, such that two vertices are adjacent if and only if their difference is a square in F_q. Paley graphs play an...

Over the past 5 years, the stratification of 3d Coulomb branches into symplectic leaves has been the subject of intense work in the physics community. Mathematically, this corresponds to understanding the nested singularity structure of conical...

I will aim to give a pedagogical introduction to 3d Coulomb branches of quiver gauge theories, which are certain holomorphic symplectic varieties with symplectic singularities. After briefly explaining why I care about such spaces as a physicist, I...