August 19, 2024

Raison d'être - Capstone projects

 

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. Julia DeVore, Carmichael Numbers 2024 
  2. Kaleb Swieringa, On the Alternating Sum of Divisors 2023 
  3. McKinley Britton: Fibonacci Numbers and Domino Tilings 2023 
  4. Alexander Hare: Experiments with Greatest Prime Factor Sequences 2023 
  5. Rachael Harbaugh: Extending a Putnam Problem to Fields of Various Characteristics 2022 
  6. Benjamin Morris: Fibonacci Periods 2022 
  7. Greg Hassenpflug: The Golden Ratio 2021 
  8. Aaron Kemats: An Investigation of the Square Grid Graph 2021 
  9. Travis Maenle: A linear complexity analysis of quadratic residues and primitive roots spacings 2020 
  10. Bryan Peck: Bell's Inequalities 2020 
  11. Kaity Kelly: Gaussian Integers 2020 
  12. Kenneth Eaton: The Fundamentals of Automated Theorem Proving 2019 
  13. Megan Meyer: An Experimental Approach to Sophie Germain Sequences 2019 
  14. Addison Carter: An Introduction to Partitions and Compositions 2019 
  15. Rachel Liebrecht: Special Topics on Graph Theory and Ramsey Numbers 2019 
  16. Shannon Tefft: Processing Quadratic Residues with Ducci Iterations 2019 
  17. Jenna Holler: American Mathematics Competitions – Variations and Generalizations 2018 
  18. Joseph Stomps: American Mathematics Competitions AMC 10 - analogies and generalizations 2018 
  19. Matthew Golden: The Baker-Campbell-Hausdorff Formula 2017 
  20. Michelle Haver: Poissonian Character and Chebyshev Bias for GPF Sequences: A Computational Analysis 2017 
  21. Amanda Marco: Fibonacci Numbers and Some of Their Properties 2014 
  22. Matthew R. Zirkle: Finding Square Roots in a Prime Field 2013 
  23. Jonathan C. Schroeder: Small Special Pairs of Primitive Roots 2013 
  24. Donald J. Pleshinger: On a Congruence of Ohtsuka 2013 
  25. Ashley Risch: An Euler-Fibonacci Sequence 2011 
  26. Lauren Sutherland: Multidimensional Greatest Prime Factor Sequences 2011 
  27. Greg Back: The Greatest Prime Factor and its Applications 2010 
  28. Jenna Brace: Traffic Flow Simulation with Cellular Automata 2010 
  29. John Holodnak: The Perron-Frobenius Theorem and Applications 2010 
  30. Sharon Binkley: The One Time Pad and Text Visualization 2009 
  31. Joshua Somerlot: The Affine Cipher 2009 
  32. Andrew Homan: An Overview of Model Theory and Completeness 2007 
  33. Allison Mackay: Elementary Number Theory and Classical Cryptography 2006 
  34. Lisa Scheckelhoff: GPF Sequences 2006 
  35. Brandon Bucholtz: The Euclidean Algorithm 2006 
  36. Jacob L. Johanssen: Fibonacci-Lucas Densities 2006 
  37. Nathan Baxter: Finite Fields 2005  
  38. Sara Miller: Fibonacci Numbers 2003