This award supports the research of Professor Adolphson to work in number theory. This project will explore the connections between exponential sums over finite fields and toric varieties. Two major topics will be pursued. The first topic is the study of the p-adic differential equations that arise from the variation of cohomology of families of exponential sums. The second topic is the study of the p-adic cohomology of complete intersections. This is research in the field of number theory. Number theory starts with the whole numbers and questions such as the divisibility of one whole number by another. It is among the oldest fields of mathematics and it was originally pursued for purely aesthetic reasons. However, within the last half century, it has become an essential tool in developing new algorithms for computer science and new error correcting codes for electronics.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9305514
Program Officer
Andrew G. Earnest
Project Start
Project End
Budget Start
1993-07-01
Budget End
1997-06-30
Support Year
Fiscal Year
1993
Total Cost
$59,400
Indirect Cost
Name
Oklahoma State University
Department
Type
DUNS #
City
Stillwater
State
OK
Country
United States
Zip Code
74078