Number Theory Seminar

Date:
Feb
26
2026

Joint IAS/PU Number Theory

Polynomial Bounds for Birch's Theorem on Forms
Amichai Lampert
3:30pm|Simonyi 101 and Remote Access

Consider a collection of forms of odd degree with rational coefficients. Birch proved in 1957 that if the number of variables is sufficiently large, then the forms must have a nontrivial rational zero. The bounds resulting from Birch's proof...

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...