## Research Projects in Mathematics

- 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 p
^{2} - 2015 — Albertha Sabree (Alan Koch)
- Order bounded group valuations on GL
_{2}(**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 R
^{3} - 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