A Capstone Research project is a wonderful experience for a Mathematics educator engaged in Undergraduate Research. That's our raison d'être! Here are the Capstones that I advised at ONU. With many thanks to all those amazing students.
- Julia DeVore, Carmichael Numbers 2024
- Kaleb Swieringa, On the Alternating Sum of Divisors 2023
- McKinley Britton: Fibonacci Numbers and Domino Tilings 2023
- Alexander Hare: Experiments with Greatest Prime Factor Sequences 2023
- Rachael Harbaugh: Extending a Putnam Problem to Fields of Various Characteristics 2022
- Benjamin Morris: Fibonacci Periods 2022
- Greg Hassenpflug: The Golden Ratio 2021
- Aaron Kemats: An Investigation of the Square Grid Graph 2021
- Travis Maenle: A linear complexity analysis of quadratic residues and primitive roots spacings 2020
- Bryan Peck: Bell's Inequalities 2020
- Kaity Kelly: Gaussian Integers 2020
- Kenneth Eaton: The Fundamentals of Automated Theorem Proving 2019
- Megan Meyer: An Experimental Approach to Sophie Germain Sequences 2019
- Addison Carter: An Introduction to Partitions and Compositions 2019
- Rachel Liebrecht: Special Topics on Graph Theory and Ramsey Numbers 2019
- Shannon Tefft: Processing Quadratic Residues with Ducci Iterations 2019
- Jenna Holler: American Mathematics Competitions – Variations and Generalizations 2018
- Joseph Stomps: American Mathematics Competitions AMC 10 - analogies and generalizations 2018
- Matthew Golden: The Baker-Campbell-Hausdorff Formula 2017
- Michelle Haver: Poissonian Character and Chebyshev Bias for GPF Sequences: A Computational Analysis 2017
- Amanda Marco: Fibonacci Numbers and Some of Their Properties 2014
- Matthew R. Zirkle: Finding Square Roots in a Prime Field 2013
- Jonathan C. Schroeder: Small Special Pairs of Primitive Roots 2013
- Donald J. Pleshinger: On a Congruence of Ohtsuka 2013
- Ashley Risch: An Euler-Fibonacci Sequence 2011
- Lauren Sutherland: Multidimensional Greatest Prime Factor Sequences 2011
- Greg Back: The Greatest Prime Factor and its Applications 2010
- Jenna Brace: Traffic Flow Simulation with Cellular Automata 2010
- John Holodnak: The Perron-Frobenius Theorem and Applications 2010
- Sharon Binkley: The One Time Pad and Text Visualization 2009
- Joshua Somerlot: The Affine Cipher 2009
- Andrew Homan: An Overview of Model Theory and Completeness 2007
- Allison Mackay: Elementary Number Theory and Classical Cryptography 2006
- Lisa Scheckelhoff: GPF Sequences 2006
- Brandon Bucholtz: The Euclidean Algorithm 2006
- Jacob L. Johanssen: Fibonacci-Lucas Densities 2006
- Nathan Baxter: Finite Fields 2005
- Sara Miller: Fibonacci Numbers 2003