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.
1. Kaleb Swieringa, On the Alternating Sum of Divisors 2023
2. McKinley Britton: Fibonacci Numbers and Domino Tilings 2023
3. Alexander Hare: Experiments with Greatest Prime Factor Sequences 2023
4. Rachael Harbaugh: Extending a Putnam Problem to Fields of Various Characteristics 2022
5. Benjamin Morris: Fibonacci Periods 2022
6. Greg Hassenpflug: The Golden Ratio 2021
7. Aaron Kemats: An Investigation of the Square Grid Graph 2021
8. Travis Maenle: A linear complexity analysis of quadratic residues and primitive roots spacings 2020
9. Bryan Peck: Bell's Inequalities 2020
10. Kaity Kelly: Gaussian Integers 2020
11. Kenneth Eaton: The Fundamentals of Automated Theorem Proving 2019
12. Megan Meyer: An Experimental Approach to Sophie Germain Sequences 2019
13. Addison Carter: An Introduction to Partitions and Compositions 2019
14. Rachel Liebrecht: Special Topics on Graph Theory and Ramsey Numbers 2019
15. Shannon Tefft: Processing Quadratic Residues with Ducci Iterations 2019
16. Jenna Holler: American Mathematics Competitions – Variations and Generalizations 2018
17. Joseph Stomps: American Mathematics Competitions AMC 10 - analogies and generalizations 2018
18. Matthew Golden: The Baker-Campbell-Hausdorff Formula 2017
19. Michelle Haver: Poissonian Character and Chebyshev Bias for GPF Sequences: A Computational Analysis 2017
20. Amanda Marco: Fibonacci Numbers and Some of Their Properties 2014
21. Matthew R. Zirkle: Finding Square Roots in a Prime Field 201322. Jonathan C. Schroeder: Small Special Pairs of Primitive Roots 2013
23. Donald J. Pleshinger: On a Congruence of Ohtsuka 2013
24. Ashley Risch: An Euler-Fibonacci Sequence 2011
25. Lauren Sutherland: Multidimensional Greatest Prime Factor Sequences 2011
26. Greg Back: The Greatest Prime Factor and its Applications 2010
27. Jenna Brace: Traffic Flow Simulation with Cellular Automata 2010
28. John Holodnak: The Perron-Frobenius Theorem and Applications 2010
29. Sharon Binkley: The One Time Pad and Text Visualization 2009
30. Joshua Somerlot: The Affine Cipher 2009
31. Andrew Homan: An Overview of Model Theory and Completeness 2007
32. Allison Mackay: Elementary Number Theory and Classical Cryptography 2006
33. Lisa Scheckelhoff: GPF Sequences 2006
34. Brandon Bucholtz: The Euclidean Algorithm 2006
35. Jacob L. Johanssen: Fibonacci-Lucas Densities 2006
36. Nathan Baxter:
Finite Fields 2005
37. Sara Miller: Fibonacci Numbers 2003
