Level: MSci
Title: Dwork's proof of the rationality of the zeta function of a variety over a finite field
Supervisor:

Dr Ivan Tomasic
Research Area: Geometry and Analysis
Description:

Dwork developed the methods of p-adic functional analysis in order to prove that the zeta function of a variety over a finite field is rational. The project could emphasise either the study of p-adic numbers and nuclear/completely continuous operators on p-adic Banach spaces, or the applications of those methods as a black-box to the rationality proof, or both.
Further Reading:

Literature suggestions will be supplied.
Key Modules:

To be confirmed with supervisor.
Other Information:
Current Availability: Yes