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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.


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Created: 25 Apr 2003
Last modified: 02 May 2012 09:49:18
Comments to: math@union.edu
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