{"id":470,"date":"2018-08-19T03:12:50","date_gmt":"2018-08-19T10:12:50","guid":{"rendered":"https:\/\/nau.edu\/math\/masters-theses\/"},"modified":"2024-07-28T07:43:07","modified_gmt":"2024-07-28T14:43:07","slug":"masters-theses","status":"publish","type":"page","link":"https:\/\/in.nau.edu\/department-mathematics-statistics\/masters-degrees\/ms-mathematics\/masters-theses\/","title":{"rendered":"Masters theses"},"content":{"rendered":"

Masters theses<\/h1>\n

Former NAU mathematics students share their theses<\/h2>\n
Written work from math department students, from 1992 to the present.<\/p>\n

Theses<\/h3>\n\n
\n \n
\n
2024 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Jeff Uyekawa, advisor: Samuel J. Harris<\/li>\n
Hannah Golab, Pattern Avoidance in Cayley Permutations<\/a>, advisor: Dana C. Ernst<\/li>\n
Ruth Perry, Braid Graphs in Coxeter Systems of Type Λ are Median<\/a>, advisor: Dana C. Ernst<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n\n
\n \n
\n
2023 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Mikhail Baltushkin, advisor: Rachel A. Neville<\/li>\n
Ryan Kelly, advisor: John M. Neuberger<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n\n
\n \n
\n
2022 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Jillian Barnes, Structural Properties of Braid Graphs in Simply-laced Triangle-free Coxeter Systems<\/a>, advisor: Dana C. Ernst<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n\n
\n \n
\n
2021 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Fadi Awik, The Reversal Poset of Signed Permutations<\/a>, advisor: Dana C. Ernst<\/li>\n
Quentin Cadman, Structure of Braid Graphs in Simply-laced Coxeter Systems<\/a>, advisor: Dana C. Ernst<\/li>\n
Weston Loucks, advisor: Bahattin Yildiz<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n\n
\n \n
\n
2020 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Pauline Gonzalez, Generalized Quasi-BCH Codes and Applications in Cryptography<\/a>, advisor: Bahattin Yildiz<\/li>\n
Marcela Gutierrez, An Overview of Scrambling Processes in Code Based Cryptography<\/a>, advisor: Bahattin Yildiz<\/li>\n
Michael Rozinski, advisor: Bahattin Yildiz<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n\n
\n \n
\n
2019 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Nathan Diefenderfer, advisor: John M. Neuberger<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n\n
\n \n
\n
2018 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Elliott Degbe, advisor: John M. Neuberger<\/li>\n
Jimie Horath, advisor: John M. Neuberger<\/li>\n
Jesse Mapel, advisor: John M. Neuberger<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n\n
\n \n
\n
2017 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Zachary Parker, On the Maximum Cardinality of Braid Classes<\/a>, advisor: Dana C. Ernst<\/li>\n
Philip Doi, advisor: John M. Neuberger<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
2016 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Thomas Holtzworth, Highest Weight Classification of the Irreducible Representations of the Special Unitary Group, advisor: Michael Falk<\/li>\n
Taryn Laird, A Study of T-Avoiding Elements of Coxeter Groups<\/a>, advisor: Dana C. Ernst<\/li>\n
Michael McHenry, Numerical Solutions and Bifurcation Analysis of the Fučik Spectrum<\/a>, advisor: John M. Neuberger<\/li>\n
Kevin Salmon, Exploration of type affine C Temperley-Lieb algebra<\/a>, advisor: Dana C. Ernst<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
2014 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Kirsten Davis, A cellular quotient of theTemperley-Lieb algebra of type D<\/a>, advisor: Dana C. Ernst<\/li>\n
Brooke Fox, Conjugacy classes of cyclicallyfully commutative elements in Coxeter groups of type A<\/a>, advisor: Dana C. Ernst<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
\u00a02010 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Autumn von Flotow, Efficacy Measures for Reduced Codespaces, advisors: Janet McShane and Sheryl Howard<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
\u00a02008 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Casey Attebery, Constructing Graded Semi-Transitive Orientations<\/a>, adviser: Steve Wilson<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
2007 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Bianca Luedeker, Nonlinear Age-structured Models<\/a>, adviser: Terry Blows, paper<\/a><\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
2006 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Christopher Belford, Graph Rubbling: An Extension of Graph Pebbling<\/a>, adviser: Nandor Sieben<\/li>\n
Ben Helford, Combinatorial Properties of Complex Hyperplane Arrangements<\/a>, adviser: Michael Falk<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
2005 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Edgar Lee Fisher, Rectangular Polyomino Set (1,2)-Achievement Games<\/a>, adviser: Nandor Sieben, paper submitted <\/a><\/li>\n
Marcus R. Szwankowski, Exploring Wildlife Simulation Models<\/a>, adviser: Terence Blows<\/li>\n
Ty Thompson, Estimating Solutions for the Ginzburg-Landau Superconductivity Model in Thin Disks co-advisers: John Neuberger and Jim Swift<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
2004 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Julie Baca, “The Persistence of Solutions from Multiple Eigenvalues”, adviser: John Neuberger.<\/li>\n
Jay Lawrence Hineman, “A Numerical Investigation of a Semilinear Elliptic PDE on a Family of Stadions” adviser: John Neuberger, paper accepted<\/a><\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
2002 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Dennis R. Rice, A Numerical Investigation of a Nonlinear Elliptic System<\/a>, adviser: John Neuberger, paper accepted<\/a><\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
2000 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Michael Butros, Nonlinear Elliptic Boundary Value Problems: A Numerical Approach<\/a>, adviser: John Neuberger<\/li>\n
Dana Ernst, Cell Complexes for Arrangements with Group Actions<\/a>, adviser: Michael Falk<\/li>\n
Sheldon H. Lee, A Reduction Algorithm for Sublinear Elliptic Partial Differential Equations<\/a>, adviser: John Neuberger, paper accepted<\/a><\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
1999 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Matthew T. Koetz, “Properties of Representation Graphs of Certain Finite Groups”, adviser: Janet McShane<\/li>\n
Barry J. Wimmer, “Dynamics of a Batesian Mimicry n-Map”, adviser: Terence Blows, paper<\/a><\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
1998 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Jeffrey T. Crabill, “Numerical Methods for Diffusive-Convective Equations with Applications to the Flow of Bacteria in Waterways”, adviser: John Neuberger, paper<\/a><\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
1997 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Randal D. Anderson, “Compartmental Analysis and Modeling”, adviser: Catherine Roberts<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
1996 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Danny Wagstaff, “Using Melnikov’s Method in Determining Bifurcation Curves for the Perturbed Pendulum and Duffing’s Equation”, adviser: Lawrence Perko<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
1994 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Michel Helfgott, “The Zermelo-Fraenkel System and Its Extension to Internal Set Theory”, adviser: Adrian Riskin<\/li>\n
Harold M. Rogers, “Combinatorial Properties of the Mobius Function and Characteristic Polynomial in Hyperplane Arrangements”, adviser: Michael Falk<\/li>\n
Changchao Joanna Su, “Sphere Bundles over Spheres”, adviser: Guenther Huck<\/li>\n
Viswanath R. Kalambur, “Application of Diagrammatic Methods to Line Arrangements”, adviser: Michael Falk<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
1993 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Nancy J. Foreman, “Graceful Trees and Graph Numbering”, adviser: Adrian Riskin<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
\n \n
\n
1992 Accordion Closed<\/span><\/h4>\n <\/span>\n <\/div>\n <\/a>\n
\n \n\n
\n
Raymond F. Vought, “The Double Impossibility of Zeta(3)”, adviser: Michael Falk<\/li>\n<\/ul>\n<\/body><\/html>\n\n <\/div>\n<\/div>\n\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
Masters theses Former NAU mathematics students share their theses Written work from math department students, from 1992 to the present. Theses <\/p>\n","protected":false},"author":3,"featured_media":0,"parent":117,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","ring_central_script_selection":"","footnotes":""},"class_list":["post-470","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/pages\/470","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/comments?post=470"}],"version-history":[{"count":19,"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/pages\/470\/revisions"}],"predecessor-version":[{"id":4585,"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/pages\/470\/revisions\/4585"}],"up":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/pages\/117"}],"wp:attachment":[{"href":"https:\/\/in.nau.edu\/department-mathematics-statistics\/wp-json\/wp\/v2\/media?parent=470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}