Calendar

Posted November 15, 2025

Algebra and Number Theory Seminar Questions or comments?

Restriction bounds for Maass forms

I will talk about the analytic problem of bounding Hecke-Maass forms. From the general theory of bounding Laplace eigenfunctions on Riemannian manifolds, one obtains local bounds for many different kinds of norms, and these bounds are believed to be far from optimal if the manifold is negatively curved. I will discuss how Hecke-Maass forms on arithmetic hyperbolic 3-folds behave along totally geodesic surfaces and present an improved L^2 bound by the method of arithmetic amplification.

Posted November 15, 2025

Algebra and Number Theory Seminar Questions or comments?

Jiaqi Hou, Louisiana State University
Restriction bounds for Maass forms

I will talk about the analytic problem of bounding Hecke–Maass forms. From the general theory of bounding Laplace eigenfunctions on Riemannian manifolds, one obtains local bounds for many different kinds of norms, and these bounds are believed to be far from optimal if the manifold is negatively curved. I will discuss how Hecke–Maass forms on arithmetic hyperbolic 3-folds behave along totally geodesic surfaces and present an improved L^2 bound by the method of arithmetic amplification.

Posted November 15, 2025

Algebra and Number Theory Seminar Questions or comments?

Esme Rosen, Louisiana State University
TBA

TBA

Posted November 15, 2025

Algebra and Number Theory Seminar Questions or comments?

Olivia Beckwith, Tulane University
TBA

TBA

Posted November 15, 2025

Algebra and Number Theory Seminar Questions or comments?

Marco Sangiovanni Vincentelli, Columbia University
TBA

TBA

Posted November 15, 2025

Algebra and Number Theory Seminar Questions or comments?

Kiran Kedlaya, University of California, San Diego
TBA

TBA