Steven Avery

Harvey Mudd College Mathematics 2005

Thesis Proposal: Noncommutative Geometry in the Context of String Theory
Thesis Advisor: Prof. Vatche Sahakian
Second Reader: Prof. Weiqing Gu
Thesis: Noncommutative Geometry

Noncommutative Geometry

We develop noncommutative field theory, starting from a very basic background and explore recent and important results in classical noncommutative field theory. The background section is of interest because it presents mathematical and physical interpretations of differential geometry together in a coherent way, not seen in most of the introductory literature. We present several interesting examples that resulted from recent research in the field.