Applications of Field Theory
Under the direction of: Karl Zimmermann
a) An Introduction to the p-adic Numbers
This topic combines algebra and analysis. Part of the project involves understanding the setting in which $-1 = 1+ 2 + 4 + 8 + 16 +....$
This is a topic for an honors thesis or a two-term thesis. Prerequisites: Math 336 and 432.
b) Algebraic Number Theory
The goal is to explore some of the relationships between abstract algebra, Galois Theory and Number Theory.
This is a topic for an honors thesis or a two-term thesis. Prerequisite: Math 432
Notes: One-term theses - Fall term strongly preferred. Please contact me with any questions.
Math Department web pages
Created: 25 Apr 2003
Last modified: 02 May 2012 09:49:18
Thesis Topics - W. Zwicker Course Pages Thesis Topics - K. Zimmermann