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 possibility 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 |
| 2020 | Joshua Ross | Angle Structures and Normal Surfaces in Closed Pseudo-Manifolds | Neil Hoffman |
| 2019 |
Isaiah DeHoyos Nikole Heon Jeffry Howard Morgan McCaskey |
Color Symmetry in the Platonic Solids Graphs and Rhythmic Canons in Musical Composition Impossibilities Proved by Galois Theory Analyzing Student Understanding of Linear Function Concepts After Completing Basic Algebra Coursework |
Lisa Mantini Jay Schweig Anand Patel Lisa Mantini |
| 2018 |
Tucker Feix Anna Hurlbut Nicholas Nelsen Field Watts |
Two Methods for Triangulating Hyperbolic Punctured Spheres The Enigma Cipher Machine On partial differential equations modified with fractional operators and integral transformations Introducing a Fellows Writing Program to Aid Writing Instruction in Mathematics |
Neil Hoffman Paul Fili Jiahong Wu Lisa Mantini |
| 2017 |
Timothy Alland Kelsea Hull Kameron McCombs Mitchell Meyer |
Pattern Avoidance Criteria for Fiber Bundles on Schubert Varieties P-adic Numbers and the Local-to-Global Principle "M" Arc Diagrams and Their Relationship to Borel's Triangle Investigating the Energy of Musical Chords |
Edward Richmond Paul Fili Jeffrey Merming Paul Fili |
| 2016 |
Gregory Beauregard Ryan Burkhart Austin Warner |
The Internal Set Theory Approach to Nonstandard Analysis The Absolute Galois Gropu as a Profinite Group A Group-Theoretic Interpretation of Margolus Neighborhood Cellular Automata |
Paul Fili Paul Fili Henry Segerman |
| 2015 |
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 EQUIVALENCE CLASSES OF GL(p) Χ GL(q) ORBITS IN THE FLAG VARIETY OF gl(p + q,C) |
Alan Noell Chris Francisco Henry Segerman Paul Fili David Ullrich Leticia Barchini |
| 2014 |
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 |
| 2010 |
Lauren Smith Markus Vasquez |
Tiling the Plane with Equilateral Pentagons Algebraic Construction of Sudoku Solutions |
Lisa Mantini Chris Francisco, Anthony Kable, Lisa Mantini |
| 2009 |
Carlos Bernal John Knorr |
Isomorphisms of the Rotational Symmetry Groups of the Platonic Solids Soduku Solutions as Linear Maps |
Lisa Mantini Lisa Mantini |
| 2008 |
Michelle Leonard Ann Nawotka |
Knots and Their Polynomials Calculus Advanced Placement: How Does it Add Up? |
Benny Evans Jim Choike |
| 2007 |
Robert C. Foster Kelsey Miller |
Precise Ford Regions of Cyclic Kleinian Groups Can Red Rock Count? Numeracy in Canines |
David Wright John Wolfe |
| 2006 |
Cameron Fincher Michael B. Kelly |
Symmetry and Soduku Automorphisms of Finite Groups |
Lisa Mantini David Wright |
| 2005 |
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 |
| 2002 |
W. Graham Mueller Mario White |
Projective Solution Spaces of the Genus Two Surface Symmetries of the Regular Solids and Buckyball |
William Jaco Lisa Mantini |
| 2001 |
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 |
| 1998 |
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 |
| 1994 |
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 |
| 1992 |
Michael Oehrtman Jennifer Williams |
Inverson of an Integral Transform Constructability of the Regular Polygons |
Lisa Mantini Sheldon Katz |