Andrew Fiori

In various contexts explicit formulas relate sums over primes (eg: numbers or ideals) to sums over zeros of some corresponding L-function(s). The aim of this talk is to explain how we tightly approximate these sums over zeros in the context where one...

Let K be a quadratic imaginary field, and p be a prime which is inert in K. It is known that the mod p reductions of the j-invariants of elliptic curves defined over the algebraic closure of Q p which admit CM by an order of K are equidistributed...

Primality testing has a number of important applications. In particular in cryptographic applications the complexity of existing deterministic algorithms causes increasing latency as the size of numbers we must test grow and the number of tests we...

In this talk I will discuss joint work with Clifton Cunningham, Ahamed Moussaui, James Mracek and Bin Xu. I will begin by giving a brief overview of the (conjectural) Langlands Correspondence, focusing in particular on Vogan's geometric reformulation...

The classic theorem of Chebotarev tells us that for any Galois extension L/K of degree n the proportion of primes of K, whose Frobenius conjugacy class is a given conjugacy class of the Galois group is proportional to the size of that conjugacy class...

In this talk we will discuss a combinatorial approach to studying the geometry of the moduli space of Langlands parameters for GLn. We will first discuss several connections between the study of partitions and the study of nilpotent conjugacy classes...