# 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.

## Completing a Senior Honors Thesis

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.

## 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 | Color Symmetry in the Platonic Solids | Lisa Mantini |

2019 | Nikole Heon | Graphs and Rhythmic Canons in Musical Composition | Jay Schweig |

2019 | Jeffry Howard | Impossibilities Proved by Galois Theory | Anand Patel |

2019 | Morgan McCaskey | Analyzing Student Understanding of Linear Function Concepts After Completing Basic Algebra Coursework | Lisa Mantini |

2018 | Tucker Feix | Two Methods for Triangulating Hyperbolic Punctured Spheres | Neil Hoffman |

2018 | Anna Hurlbut | The Enigma Cipher Machine | Paul Fili |

2018 | Nicholas Nelsen | On partial differential equations modified with fractional operators and integral transformations | Jiahong Wu |

2018 | Field Watts | Introducing a Fellows Writing Program to Aid Writing Instruction in Mathematics | Lisa Mantini |

2017 | Timothy Alland | Pattern Avoidance Criteria for Fiber Bundles on Schubert Varieties | Edward Richmond |

2017 | Kelsea Hull | P-adic Numbers and the Local-to-Global Principle | Paul Fili |

2017 | Kameron McCombs | "M" Arc Diagrams and Their Relationship to Borel's Triangle | Jeffrey Mermin |

2017 | Mitchell Meyer | Investigating the Energy of Musical Chords | Paul Fili |

2016 | Gregory Beauregard | The Internal Set Theory Approach to Nonstandard Analysis | Paul Fili |

2016 | Ryan Burkhart | The Absolute Galois Gropu as a Profinite Group | Paul Fili |

2016 | Austin Warner | A Group-Theoretic Interpretation of Margolus Neighborhood Cellular Automata | Henry Segerman |

2015 | Jeanine Gibson | Radius of Convergence for Complex Newton's Method | Alan Noell |

2015 | Martha Gipson | Betti Numbers of Edge Ideals of Cyclic Graphs | Chris Francisco |

2015 | James Hartford | Development and Replication of the UTeach Model | Henry Segerman |

2015 | Harrison Schroeder | The Congruent Number Problem and Elliptic Curves | Paul Fili |

2015 | Joshua Whitman | A Theorem of Wiener | David Ullrich |

2015 | Nina Williams | EQUIVALENCE CLASSES OF GL(p) X GL(q) ORBITS IN THE FLAG VARIETY OF gl(p + q,C) | Leticia Barchini |

2014 | Anna Gunther | Student Performance, Experiences, and Persistence with Observed Teaching Methods in Honors Calculus I | Lisa Mantini |

2014 | R. Maxwell Jeter | The Existence of a Continuous Function whose Fourier Series Diverges at a Point | David Ullrich |

2014 | Andrew Noel | Using the Thue-Morse Sequence to Generate a New Set of Solutions for the Prouhet-Tarry-Escott Problem | Andrei Pavelescu |

2014 | Collin Nolte | Topics in Numerical Analysis: Gaussian Quadrature | Yanqiu Wang |

2013 | Cynthia Lane | Constructing the Whitheead Link Complement in Hyperbolic Space | Jesse Johnson |

2011 | James Bishop | Game Theory | David Wright |

2010 | Lauren Smith | Tiling the Plane with Equilateral Pentagons | Lisa Mantini |

2010 | Markus Vasquez | Algebraic Construction of Sodoku Solutions | Chris Francisco, Anthony Kable, Lisa Mantini |

2009 | Carlos Bernal | Isomorphisms of the Rotational Symmetry Groups of the Platonic Solids | Lisa Mantini |

2009 | John Knorr | Sodoku Solutions as Linear Maps | Lisa Mantini |

2008 | Michelle Leonard | Knots and Their Polynomials | Benny Evans |

2008 | Ann Nawotka | Calculus Advanced Placement: How Does It Add Up? | Jim Choike |

2007 | Robert C. Foster | Precise Ford Regions of Cyclic Kleinian Groups | David Wright |

2007 | Kelsey Miller | Can Red Rock Count? Numeracy in Canines | John Wolfe |

2006 | Cameron Fincher | Symmetry and Sodoku | Lisa Mantini |

2006 | Michael B. Kelly | Automorphisms of Finite Groups | David Wright |

2005 | David Paige | On the Finite Radon Transform | Lisa Mantini |

2005 | Amit Sharma | Ultraspherical Harmonics | Birne Binegar |

2004 | Nathan Pennington | Inversion of the Finite Radon Transform | Lisa Mantini |

2002 | W. Graham Mueller | Projective Solution Spaces of the Genus Two Surface | William Jaco |

2002 | Mario White | Symmetries of the Regular solids and Buckyball | Lisa Mantini |

2001 | Nicholas Nerren | Expressing Natural Numbers as the Sum of Squares and Triangles | David Wright |

2001 | Brent Scharetung | Wavelet Theory and Applications | David Wright |

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

1998 | Shanna Hull Kersh | Learning the Basics: A Case Study of Eighth Grade Mathematics Education in Oklahoma | John Wolfe |

1998 | Jeffery Whitworth | Eigenvalues and Diagonalizability of Totally Nonnegative, Irreducible Matrices | 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 | Inversion of an Integral Transform | Lisa Mantini |

1992 | Jennifer Williams | Constructability of the Regular Polygons | Sheldon Katz |