Number Theory Seminar

Date:
Mar
19
2026

Joint PU/IAS Number Theory

The Large Sieve Inequality and Additive Decompositions of Sums of Squares
Julia Stadlmann
3:30pm|*Princeton University, Fine 214*

Ostmann’s problem asks if there are sets $A1$ and $A2$ with $|A1|, |A2| > 1$ so that the sumset $A1 + A2$ differs from the set of primes by only finitely many elements. It is believed that no such $A1$ and $A2$ exist, but to date the problem remains...

Apr
30
2026

Joint IAS/PU Number Theory

On the Distribution of Modular Points on Deformation Rings
John Bergdall
3:30pm|Simonyi 101 and Remote Access

The goal of this talk is to discuss a new local-global phenomenon in the Langlands program on automorphic forms and Galois representations. Spaces of modular forms are parametrized by weights, and those same weights parametrize local deformation...