Department of Mathematics

Research Projects in Mathematics

2024 — Cleo Kleinfelter (Alan Koch): Remainder patterns in Fibonacci-like sequences
2024 — Sage Pasquale (Alan Koch): The Importance of Secondary Sex Characteristics: A Game Theory Analysis
2023 — Edie Irwin, Ayechan Moe (Alan Koch): Complete residue systems in recursively defined sequences
2022 — Sami Aurin, Fatima Mohamed, Sophia Pu (Alan Koch): Complete residue systems in the Lucas sequence
2021 — Deliiah Freeman, Grace Krahm (Alan Koch): The Search for Integer Boxes
2020 — Morgan Gallaher, Yunfan Guan, Skye Yang (Alan Koch): The Chicken McNugget problem
2020 — Laura Stordy (Alan Koch): Fixed-point-free abelian endomorphisms and the Yang-Baxter equation
2019 — Chelsea Funk (Alan Koch): An examination of recursive sequences modulo p
2019 — Audrey Goodnight and Laura Stordy (Alan Koch): Braces and the Yang-Baxter equation
2018 — Audrey Goodnight and Laura Stordy (Alan Koch): Braces and their opposites
2018 — Huiming Zhang (Alan Koch and Lock Rogers): Why are peacocks' tails as long as they are?
2018 — Laura Stordy and Audrey Goodnight (Alan Koch): Sink your teeth into algebra: left braces on 2p Elements!
2017 — Katy Brooke, Chelsea Funk, Audrey Goodnight, Huiming Zhang (Alan Koch): An examination of the cyclic nature of last digits in recurrence relations
2017 — Emily Bryans (Alan Koch and Lock Rogers): The dating game: mathematics meliorates mating
2017 — Emily Piff (Alan Koch): p-adic geometry in two dimensions
2017 — Carson Shore: Comparative analytics and projected savings models in the Center for Sustainability
2017 — Estephania Hernandez and Sara Sloman (Rachel Bayless): Dynamics, Ecology, and Games. Oh My!
2017 — Alexa Chang, Isabelle Eiden, and Alicia Bukowski (Alan Koch): The Search for Odd Perfect Numbers
2016 — Audrey Goodnight and Kayleigh McCrary (Rachel Bayless): Dynamics of cyclic systems
2016 — Tecora Lawrence (Alan Koch): Brocard's problem, Brown numbers and generalizations
2016 — Katy Brooke, Denisse Saucedo, and Cassie Xu (Alan Koch): Second-order linear recurrence relations and periodicity
2016 — Biru Tang (Alan Koch): Recursive sequences mod p²
2015 — Albertha Sabree (Alan Koch): Order bounded group valuations on GL₂(F_p)
2013 — Meina Zhou (Alan Koch): The longest period of a sequence defined by a second-order linear recursion
2013 — Gabrielle O'Brien (Alan Koch): Lines with p-adic Valuation
2012 — Shan Shan (Alan Koch): Periodicity of third-order linear recurrence sequences
2011 — Chan Jin (Alan Koch): A Class of Commutative Matrices modulo a Prime
2010 — Chuya Guo (Alan Koch): The Period Function of a Generalized Fibonacci Sequence
2009 —Sujin Headrick (Alan Koch): Some Regular Subgroups of S_p²
2006 — Catherine Crompton (Alan Koch): Some Geometry of the p-adic Rationals
2004 — Audrey Powers (Alan Koch): Order Bounded Group Valuations
2002 — Stela Anguelova (Chris Moseley): A Study of Differential Geometry and Topology. Proof of the Gauss-Bonnet Theorem for Surfaces in R³
1999 — Christy Jenkins (Larry Riddle): Fractal Tilings in the Plane
1998 — Sarah Thieling (Olga Yiparaki): Parent-Teacher Conferences: A Scheduling Problem
1995 — Karen Shuman (Olga Yiparaki): Set Theoretic Topology
1994 — Laylage Courie (Dan Waggoner): Consistency and Undecidability: Axiomatic Systems and the Foundations of Mathematics
1993 — Chen Song (Dan Waggoner): A Study of Real Projective Space
1993 — Meredith Jolly (Larry Riddle): A Study of Chaos: Economic Applications of the Logistic Function
1992 — Laura Shaeffer (Robert Leslie): A Study of Theory and Topics in Operations Research
1990 — Sue Tourville (Dan Waggoner): An Investigation of the Cantor Set and Cantor-Like Sets
1990 — Marsha Michie (Larry Riddle): Behavior of One-Dimensional Dynamical Systems: Chaos and Sarkovskii's Theorem