Senior Honors Thesis

The senior honors thesis provides an educational enhancement opportunity for interested students. Students work one-on-one with a mathematics professor to research and report on a mathematics topic not normally covered in the traditional undergraduate curriculum. Students considering this option should discuss the possiblity with a mathematics advisor during their junior year. In the first semester of your senior year, enroll in HONR 3000. In this course you work with your advisor to develop and investigate a thesis topic.  In your last semester enroll in MATH 4993 where the thesis is completed. Further information about the senior honors thesis can be found at this link.The following is a list of recent mathematics theses.

Year Student’s Name Title of project Advisor

Gregory Beauregard

Ryan Burkhart

John Short

The Internal Set Theory Approach to Nonstandard Analysis

The Absolute Galois Gropu as a Profinite Group

A Compiler for a Toy Language in a Web Browser

Paul Fili

Paul Fili

K.M. George


Jeanine Gibson

Martha Gipson

James Hartford

Harrison Schroeder

Joshua Whitman

Nina Williams

Radius of Convergence for Complex Newton's Method

Betti Numbers of Edge Ideals of Cyclic Graphs

Development and Replication of the UTeach Model

The Congruent Number Problem and Elliptic Curves

A Theorem of Wiener


Alan Noell

Chris Francisco

Henry Segerman

Paul Fili

David Ullrich

Leticia Brachini


Anna Gunther

R. Maxwell Jeter

Andrew Noel

Collin Nolte

Student Performance, Experiences, and Persistence with Observed Teaching Methods in Honors Calculus I

The Existence of a Continuous Function whose Fourier Series Diverges at a Point

Using the Thue-Morse Sequence to Generate a New Set of Solutions for the Prouhet-Tarry-Escott Problem

Topics in Numerical Analysis: Gaussian Quadrature

Lisa Mantini

David Ullrich

Andrei Pavelescu

Yanqiu Wang

2013 Cynthia Lane Constructing the Whitehead Link Complement in Hyperbolic Space Jesse Johnson
2011 James Bishop Game Theory David Wright

Lauren Smith

Markus Vasquez

Tiling the Plane with Equilateral Pentagons

Algebraic Construction of Sudoku Solutions

Lisa Mantini

Chris Francisco, Anthony Kable, Lisa Mantini


Carlos Bernal

John Knorr

Isomorphisms of the Rotational Symmetry Groups of the Platonic Solids

Soduku Solutions as Linear Maps

Lisa Mantini

Lisa Mantini


Michelle Leonard

Ann Nawotka

Knots and Their Polynomials

Calculus Advanced Placement: How Does it Add Up?

Benny Evans

Jim Choike


Robert C. Foster

Kelsey Miller

Precise Ford Regions of Cyclic Kleinian Groups

Can Red Rock Count? Numeracy in Canines

David Wright

John Wolfe


Cameron Fincher

Michael B. Kelly

Symmetry and Soduku

Automorphisms of Finite Groups

Lisa Mantini

David Wright


David Paige

Amit Sharma

On the Finite Radon Transform

Ultraspherical Harmonics

Lisa Mantini

Birne Binegar

2004 Nathan Pennington Inversion of the Finite Radon Transform Lisa Mantini

W. Graham Mueller

Mario White

Projective Solution Spaces of the Genus Two Surface

Symmetries of the Regular Solids and Buckyball

William Jaco

Lisa Mantini


Nicholas Nerren

Brent Scharetung

Expressing Natural Numbers as the Sum of Squares and Triangles

Wavelet Theory and Applications

David Wright

David Wright

1999 Charles Ratliff Maxwell's Equations and the Conformal Group Lisa Mantini

Shanna Hull Kersh

Jeffery Whitworth

Learning the Basics: A Case Study of Eighth Grade Mathematics Education in Oklahoma

Eigenvalues and Diagonalizability of Totally Nonnegative, Irreducible Matrices

John Wolfe

Lisa Mantini

1996 Michael Holcomb On Primary Decomposition of Monomial Ideals Sheldon Katz

Chia Sien Lim

Finite Groups and Their Representations Alan Adolphson
1993 Susan Thompson Tests and Comparisons of Two Mathematical Models for Species Distribution Jim Choike and Lisa Mantini

Michael Oehrtman

Jennifer Williams

Inverson of an Integral Transform

Constructability of the Regular Polygons

Lisa Mantini

Sheldon Katz