## 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 |

2016 |
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 |

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 Brachini |

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 |