This award supports the research of Professor A. Pizer to work on the connections between modular forms, quaternion algebras, and Ramanujan graphs. He intends to investigate the extremal properties of Ramanujan graphs constructed via modular forms. Modular forms arose out of Non-Euclidean geometry in the middle of the nineteenth century. Combinatorics, on the other hand, represents a systematization of the first mathematical activity, counting. The recently discovered connections between these two areas demonstrates once again how modern mathematics progresses by connecting together seemingly diverse fields. This research is potentially important in communications and information technology.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9102837
Program Officer
Ann K. Boyle
Project Start
Project End
Budget Start
1991-07-01
Budget End
1996-06-30
Support Year
Fiscal Year
1991
Total Cost
$79,750
Indirect Cost
Name
University of Rochester
Department
Type
DUNS #
City
Rochester
State
NY
Country
United States
Zip Code
14627