This award supports the research of Professor H. Jacquet to work in automorphic functions. Professor Jacquet intends to study certain period integrals related to Gelfand triples using the relative trace formula. Modular forms arose out of Non-Euclidean geometry in the middle of the nineteenth century. Both mathematicians and physicists have thus long realized that many objects of fundamental importance are non-Euclidean in their basic nature. This field is principally concerned with questions about the whole numbers, but in its use of geometry and analysis, it retains connection to its historical roots and thus to problems in areas as diverse as gauge theory in theoretical physics and coding theory in information theory.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9101637
Program Officer
William Y. Velez
Project Start
Project End
Budget Start
1991-07-01
Budget End
1995-06-30
Support Year
Fiscal Year
1991
Total Cost
$140,760
Indirect Cost
Name
Columbia University
Department
Type
DUNS #
City
New York
State
NY
Country
United States
Zip Code
10027