9504176 Wolpert The investigator proposes to continue his investigations of the large eigenvalue asymptotics of hyperbolic Riemann surfaces. He proposes to consider the question of unique quantum ergodicity for the classical modular group, connections between spectral asymptotics and questions in number theory, and the geometry of the moduli space of real projective structures for a compact surface. Riemann surfaces can be thought of as multi-sheeted covers of the plane; have interesting topological properties. In addition, Riemann surfaces play a crucial role in the study of complex-valued functions (the graph of a complex-valued function is a surface in a 4-dimensional space). Indeed they were originally constructed as natural domains for complex-valued functions.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9504176
Program Officer
Christopher W. Stark
Project Start
Project End
Budget Start
1995-06-01
Budget End
1998-08-31
Support Year
Fiscal Year
1995
Total Cost
$75,000
Indirect Cost
Name
University of Maryland College Park
Department
Type
DUNS #
City
College Park
State
MD
Country
United States
Zip Code
20742