This proposal is centered on new approaches to tackle problems concerning analytic aspects of automorphic L-functions, and their intrinsic connnection to various equidistribution problems in Number Theory, especially the quantitative and effective results in the mass equidistribution properties of Hecke eigenforms on arithmetic surfaces, as well as its higher dimensional generalizations.

The equidistribution problems have their origin from mathematical physics and quantum mechanics, and are well connected to other major areas in mathematics. The rich interplay and interaction of ideas across different fields lie at the heart of the current project. Because of these distinctive features the research project proposed here are also ideal for training and engaging postdoctoral researchers and Ph.D. students in a vibrant and important research area.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
1160647
Program Officer
Andrew D. Pollington
Project Start
Project End
Budget Start
2012-06-01
Budget End
2017-05-31
Support Year
Fiscal Year
2011
Total Cost
$195,605
Indirect Cost
Name
Ohio State University
Department
Type
DUNS #
City
Columbus
State
OH
Country
United States
Zip Code
43210