Past Events

In this talk, we will study the first and second twisted moments of some Rankin-Selberg convolution L-functions of an automorphic form of prime power level. Our first moment result can be used to prove that automorphic forms of suitable weight and...

The interactions among species in a food web or food chain are inherently complex. Mathematical models provide a framework to closely represent the dynamics observed in ecosystems. However, capturing this complexity within a single mathematical setup...

The Hecke orbit conjecture predicts that Hecke symmetries characterize the central foliation on Shimura varieties over an algebraically closed field k of characteristic p. The original conjecture predicts that on the mod p reduction of a Shimura...

The computer is taking over. AND, in many branches of applied mathematics and statistics we hear 'why bother to prove theorems? simulations and numerical approximation are easier and better for real problems'. NOT SO FAST; I will present a collection...

This talk introduces a mathematical theory of developmental biology, based on optimal transport. While, in principle, organisms are made of molecules whose motions are described by the Schödinger equation, there are simply too many molecules for this...

In recent years, there has been growing promise in coupling machine learning methods with domain-specific physical insights to solve scientific problems based on partial differential equations (PDEs). However, there are two critical bottlenecks that...

Embedding calculus is a powerful tool which is useful in making quantitative and qualitative conclusions about the topology of embedding spaces. In this talk, we will give a geometric description of the fiber of Emb ( M , M ) → T ∞ Emb ( M , M )...

We study the dynamics of a test particle in a system of N randomly distributed stationary spherical obstacles (scatterers) in dimensions d≥2. We assume that the test particle's motion is influenced by two contributing factors. One contribution comes...

Let E be an elliptic curve defined over ℚ. Let p > 3 be a prime such that p - 1 is not divisible by 3, 4, 5, 7, 11. In this article, we classify the groups that can arise as E(ℚ(ζp))tors up to isomorphism. The method illustrates techniques for...

In the first talk of this series, we saw how the first Stiefel-Whitney class is a complete invariant of real line bundles. Building on this, we will now study how to build a complete invariant for complex line bundles: the Chern class. Among other...