Past Events

Given a connected undirected graph G = (V,E), where V is the set of vertices and E the set of edges (possibly with weights), denote by A the associated adjacency matrix. The Kemeny constant of the graph G is defined as the Kemeny constant of the...

When trying to classify curves over a non-algebraically closed field, one quickly runs into the difficulty that there are curves which are not defined over their fields of moduli. We will explain what this means with some examples. We will discuss...

Learning with Errors (LWE) is a hard math problem with algebraic structure, underpinning many proposed Post-Quantum Cryptosystems (PQC). The only PQC key exchange standardized by NIST is based on module LWE, and current publicly available PQC...

Remote communities around the globe rely on off-grid installations of stand-alone diesel generators to cover their energy needs, which can be costly, harmful to the environment and subject to disruptions. Policymakers seek sustainable solutions for...

In 1965, Birch and Swinnerton-Dyer formulated a conjecture on the Mordell-Weil rank r of elliptic curves which also implies the convergence of the Nagao-Mestre sum. We show that if the Nagao-Mestre sum converges, then the limit equals −r+1/2, and...

In this seminar, we have seen that problems in deformation theory are often controlled by differential graded Lie algebras (dgla). For example, in Martin's talk, we saw how the deformations of an associative algebra are controlled by a dgla structure...

Counting the number of eigenvalues of Schrödinger operators is a crucial task in quantum mechanics. The typical heuristic from physics is that to leading order this should be given by the phase space volume. Unfortunately, this can already fail for...

I will briefly introduce the notion of formality for differential graded Lie algebras, and the role it plays in deformation theory. I will then discuss some geometric applications obtained in a joint work with Claudio Onorati.

A result of Rademacher is that on the Riemann hypothesis, the positive ordinates of the nontrivial zeros of the Riemann zeta function, that is, the γ with γ>0, are uniformly distributed modulo one. This talk will be on a recent conditional result of...

For every $k\ge 2$ and $\Delta$, we prove that there exists a constant $C_{\Delta,k}$ such that the following holds. For every graph $H$ with $\chi(H)=k$ and every tree with at least $C_{\Delta,k}|H|$ vertices and maximum degree at most $\Delta$, the...