Past Events

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...

The last decade has witnessed tremendous experimental progress in the study of "Floquet media", crystalline materials whose properties are altered by time-periodic parametric forcing. Theoretical advancements, however, have so far been achieved...

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...

Graphene and similar semi-metals are known to transform into insulators under an external time-periodic electric field. This phenomenon, which is essential in the field of Floquet Topological Insulators, is traditionally understood as equivalent to...