Masters theses
Former NAU mathematics students share their theses
Written work from math department students, from 1992 to the present.
Theses
2024 Accordion Closed
- Jeff Uyekawa, advisor: Samuel J. Harris
- Hannah Golab, Pattern Avoidance in Cayley Permutations, advisor: Dana C. Ernst
- Ruth Perry, Braid Graphs in Coxeter Systems of Type Λ are Median, advisor: Dana C. Ernst
2023 Accordion Closed
- Mikhail Baltushkin, advisor: Rachel A. Neville
- Ryan Kelly, advisor: John M. Neuberger
2022 Accordion Closed
- Jillian Barnes, Structural Properties of Braid Graphs in Simply-laced Triangle-free Coxeter Systems, advisor: Dana C. Ernst
2021 Accordion Closed
- Fadi Awik, The Reversal Poset of Signed Permutations, advisor: Dana C. Ernst
- Quentin Cadman, Structure of Braid Graphs in Simply-laced Coxeter Systems, advisor: Dana C. Ernst
- Weston Loucks, advisor: Bahattin Yildiz
2020 Accordion Closed
- Pauline Gonzalez, Generalized Quasi-BCH Codes and Applications in Cryptography, advisor: Bahattin Yildiz
- Marcela Gutierrez, An Overview of Scrambling Processes in Code Based Cryptography, advisor: Bahattin Yildiz
- Michael Rozinski, advisor: Bahattin Yildiz
2019 Accordion Closed
- Nathan Diefenderfer, advisor: John M. Neuberger
2018 Accordion Closed
- Elliott Degbe, advisor: John M. Neuberger
- Jimie Horath, advisor: John M. Neuberger
- Jesse Mapel, advisor: John M. Neuberger
2017 Accordion Closed
- Zachary Parker, On the Maximum Cardinality of Braid Classes, advisor: Dana C. Ernst
- Philip Doi, advisor: John M. Neuberger
2016 Accordion Closed
- Thomas Holtzworth, Highest Weight Classification of the Irreducible Representations of the Special Unitary Group, advisor: Michael Falk
- Taryn Laird, A Study of T-Avoiding Elements of Coxeter Groups, advisor: Dana C. Ernst
- Michael McHenry, Numerical Solutions and Bifurcation Analysis of the Fučik Spectrum, advisor: John M. Neuberger
- Kevin Salmon, Exploration of type affine C Temperley-Lieb algebra, advisor: Dana C. Ernst
2014 Accordion Closed
- Kirsten Davis, A cellular quotient of theTemperley-Lieb algebra of type D, advisor: Dana C. Ernst
- Brooke Fox, Conjugacy classes of cyclicallyfully commutative elements in Coxeter groups of type A, advisor: Dana C. Ernst
2010 Accordion Closed
- Autumn von Flotow, Efficacy Measures for Reduced Codespaces, advisors: Janet McShane and Sheryl Howard
2008 Accordion Closed
- Casey Attebery, Constructing Graded Semi-Transitive Orientations, adviser: Steve Wilson
2007 Accordion Closed
- Bianca Luedeker, Nonlinear Age-structured Models, adviser: Terry Blows, paper
2006 Accordion Closed
- Christopher Belford, Graph Rubbling: An Extension of Graph Pebbling, adviser: Nandor Sieben
- Ben Helford, Combinatorial Properties of Complex Hyperplane Arrangements, adviser: Michael Falk
2005 Accordion Closed
- Edgar Lee Fisher, Rectangular Polyomino Set (1,2)-Achievement Games, adviser: Nandor Sieben, paper submitted
- Marcus R. Szwankowski, Exploring Wildlife Simulation Models, adviser: Terence Blows
- Ty Thompson, Estimating Solutions for the Ginzburg-Landau Superconductivity Model in Thin Disks co-advisers: John Neuberger and Jim Swift
2004 Accordion Closed
- Julie Baca, “The Persistence of Solutions from Multiple Eigenvalues”, adviser: John Neuberger.
- Jay Lawrence Hineman, “A Numerical Investigation of a Semilinear Elliptic PDE on a Family of Stadions” adviser: John Neuberger, paper accepted
2002 Accordion Closed
- Dennis R. Rice, A Numerical Investigation of a Nonlinear Elliptic System, adviser: John Neuberger, paper accepted
2000 Accordion Closed
- Michael Butros, Nonlinear Elliptic Boundary Value Problems: A Numerical Approach, adviser: John Neuberger
- Dana Ernst, Cell Complexes for Arrangements with Group Actions, adviser: Michael Falk
- Sheldon H. Lee, A Reduction Algorithm for Sublinear Elliptic Partial Differential Equations, adviser: John Neuberger, paper accepted
1999 Accordion Closed
- Matthew T. Koetz, “Properties of Representation Graphs of Certain Finite Groups”, adviser: Janet McShane
- Barry J. Wimmer, “Dynamics of a Batesian Mimicry n-Map”, adviser: Terence Blows, paper
1998 Accordion Closed
- Jeffrey T. Crabill, “Numerical Methods for Diffusive-Convective Equations with Applications to the Flow of Bacteria in Waterways”, adviser: John Neuberger, paper
1997 Accordion Closed
- Randal D. Anderson, “Compartmental Analysis and Modeling”, adviser: Catherine Roberts
1996 Accordion Closed
- Danny Wagstaff, “Using Melnikov’s Method in Determining Bifurcation Curves for the Perturbed Pendulum and Duffing’s Equation”, adviser: Lawrence Perko
1994 Accordion Closed
- Michel Helfgott, “The Zermelo-Fraenkel System and Its Extension to Internal Set Theory”, adviser: Adrian Riskin
- Harold M. Rogers, “Combinatorial Properties of the Mobius Function and Characteristic Polynomial in Hyperplane Arrangements”, adviser: Michael Falk
- Changchao Joanna Su, “Sphere Bundles over Spheres”, adviser: Guenther Huck
- Viswanath R. Kalambur, “Application of Diagrammatic Methods to Line Arrangements”, adviser: Michael Falk
1993 Accordion Closed
- Nancy J. Foreman, “Graceful Trees and Graph Numbering”, adviser: Adrian Riskin
1992 Accordion Closed
- Raymond F. Vought, “The Double Impossibility of Zeta(3)”, adviser: Michael Falk