Undergraduate Honors Thesis Projects

Date of Award

Spring 3-26-2024

Document Type

Honors Paper

Degree Name

Mathematics-BS

Department

Mathematical Sciences

Advisor

Dr. Jeremy Moore

First Committee Member

Dr. Jeremy Moore

Second Committee Member

Dr. Adriana Nenciu

Third Committee Member

Dr. Ava Liu

Keywords

Galois Theory, Abstract Algebra

Subject Categories

Algebra | Higher Education

Abstract

The objective of this study is to explore whether it is possible to obtain a general solution for fifth degree or higher polynomial equations whilst emulating what doing research may look like in a graduate mathematics setting. To accomplish this, Galois theory will be needed along with a deep understanding of Abstract Algebra principals necessary to address the problem statement and give context to the complexities of the subject matter.

Licensing Permission

Copyright, all rights reserved. Fair Use

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Acknowledgement 2

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