Starchenko S. Starchenko will continue his research in the field of model theory. He intends to study structures definable in o-minimal models, and he will also attempt to extend some recent results about Pfaffian functions to o-minimal expansions of real closed fields. One of the main goals of this research is developing a theory of analytic functions over arbitrary algebraically closed fields (fields in which all polynomial equations in one variable have solutions) analogous to the theory of complex analytic functions. S. Starchenko strongly believes that many classical theorems of complex analysis can also be proved in the category of ``tame analytic'' functions over such fields. Understanding which theorems are available in this general context and which are not would shed light on the classical theory itself; the new perspective would be made to provide more insight into a highly developed and venerable classical theory. ***

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9970551
Program Officer
Alvin I. Thaler
Project Start
Project End
Budget Start
1999-08-15
Budget End
2002-07-31
Support Year
Fiscal Year
1999
Total Cost
$71,100
Indirect Cost
Name
University of Notre Dame
Department
Type
DUNS #
City
Notre Dame
State
IN
Country
United States
Zip Code
46556