UNDERGRADUATE RESEARCH

UNDERGRADUATE MATH RESEARCH AT ONU

JOURNAL PAPERS BASED ON RESEARCH DONE AT ONU WITH ONU STUDENTS AS CO-AUTHORS

Mihai Caragiu and Greg Back: The Greatest Prime Factor and Related Magmas, JP Journal of Algebra, Number Theory and Applications 15 (2),127-136 (2009).
Mihai Caragiu and John Holodnak: On Sampling Periodic Functions, Far East Journal of Mathematical Sciences, 29 (2008), no.1, 145-149.
Mihai Caragiu and Nathan Baxter: A note on p-adic Ducci games, JP J. of Algebra, Number Theory and Appl. 8 (2007), No.1, 115-120.
Mihai Caragiu, Ronald A. Johns and Justin Gieseler: Quasi-random Structures from Elliptic Curves, JP Journal of Algebra, Number Theory and Applications, 6 (2006), No. 3, 561 - 571.
Mihai Caragiu and Lisa Scheckelhoff: The Greatest Prime Factor and Related Sequences, JP Journal of Algebra, Number Theory and Applications, 6 (2006), No.2, 403-409.
Nathan Baxter and Mihai Caragiu: Arithmetic Properties of Some Special Sums, JP Journal of Algebra, Number Theory and Applications, 4 (2004), No.3, 455-463.

REFEREED CONFERENCE PROCEEDINGS

Kristi Patton, Sandra Schroeder and Richard Daquila: An Investigation of Continued Fractions, Electonic Proceedings of Undergraduate Mathematics Day, Volume 2, Nov. 2005 Link to paper

ArXiv e-prints

Mihai Caragiu and Jacob L. Johanssen, Fibonacci-Lucas densities, math.GM/0603232

Presentations at the ONU Undergraduate Research Colloquium
Capstone Projects of ONU Mathematics Majors

CONTRIBUTED TALKS/POSTERS AT PROFESSIONAL MEETINGS

56. John Holodnak: Rush versus Pass:Modeling the NFL
(poster presentation) 2010 AMS-MAA Joint Meetings, San Francisco
[REU advisor Dr. Carl D. Meyer, North Carolina State University]

55. Greg Back: A Prime Addition Commutative Magma
(poster presentation) 2010 AMS-MAA Joint Meetings, San Francisco
[advisor Dr. Mihai Caragiu]

54. Andrew Magyar: Edgar Structures on Manifolds
(poster presentation) 2009 Mathfest, Portland OR
[advisor Dr. William Fuller]

53. John Holodnak: Rush versus Pass:Modeling the NFL
2009 Ohio MAA Fall Meeting, Kenyon College
[REU advisor Dr. Carl D. Meyer, North Carolina State University]

52. Axel Brandt: Characterisation of Ford Links
Undergraduate Knot Theory Conference, Denison University, 13-15 July 2009
[advisor Dr. Donald Hunt]

51. Joshua Stoffel: Maxwell's equations
2009 Ohio MAA Spring Meeting, Bowling Green.
[advisor Dr. Khristo Boyadzhiev]

50. Joshua Szekely: Annular and annular-like functions
2009 Ohio MAA Spring Meeting, Bowling Green.
[advisor Dr. Donald Hunt]

49. Gregory Back: The Jacobi symbol and cryptography
2009 Ohio MAA Spring Meeting, Bowling Green.
[advisor Dr. Mihai Caragiu]

48. Eric Gossett: Hailstones in tornadoes
2009 Ohio MAA Spring Meeting, Bowling Green.
[advisor Dr. Bill Fuller]

47. Sharon Binkley: One-time pad and text visualization
2009 Ohio MAA Spring Meeting, Bowling Green.
[advisor Dr. Mihai Caragiu]

46. John Holodnak: Sudoku and binary integer programming
2009 Ohio MAA Spring Meeting, Bowling Green.
[advisor Dr. Donald Hunt]

45. Axel Brandt: Characterisation of Ford Links
2009 Ohio MAA Spring Meeting, Bowling Green.
[advisor Dr. Donald Hunt]

44. Axel Brandt: Characterisation of Ford Links
(poster presentation) 2009 AMS-MAA Joint Meetings, Washington D.C.
[advisor Dr. Donald Hunt; co-author - Tyler Dunlap, ONU '08]

43. John Holodnak: A Stochastic Model of Tuberculosis
(poster presentation) 2009 AMS-MAA Joint Meetings, Washington D.C.
[advisors Dr.Yuliya Gorb and Dr. Jay Walton, Texas A&M; co-presenter Andrew Basinski]

42. Andrew Magyar: The Structure of Digroups
2008 MAA Ohio Spring Meeting, Marietta College
[REU advisor Dr. J. D. Phillips, Wabash College]

41. Christopher Lemon: Markov Chains and the Ising Model
2008 MAA Ohio Spring Meeting, Marietta College
[advisor Dr. Ronald Johns]

40. Andrew Magyar (ONU), Kyle Prifogle (Wabash College), David White (Bowdoin College),
and William Young (Purdue University): An Investigation into the Structure of Digroups
(award-winning poster presentation) 2008 AMS-MAA Joint Meetings, San Diego
[REU advisor Dr. J. D. Phillips, Wabash College]

39. John Holodnak: On Sequences Not Satisfying Recurrence Relations
(poster presentation) 2008 AMS-MAA Joint Meetings, San Diego
[advisor Dr. Mihai Caragiu]

38. Charise Kazmierczak: Geometry in Rose Windows
2007 MAA Ohio Spring Meeting, Shawnee State University
[advisor Dr. Maria Raiti]

37. Megan Reese: The Golden Section and Design
2007 MAA Ohio Spring Meeting, Shawnee State University
[advisor Dr. Maria Raiti]

36. Greg Back: Counting with Transfer Matrices
2007 MAA Ohio Spring Meeting, Shawnee State University
[advisor Dr. Mihai Caragiu]

35. John Holodnak: Kronecke's Theorem and Linear Recurrences
2007 MAA Ohio Spring Meeting, Shawnee State University
[advisor Dr. Mihai Caragiu]

34. Andrew Homan: An Outline of the Completeness Theorem
2007 MAA Ohio Spring Meeting, Shawnee State University
[advisor Dr. Mihai Caragiu]

33. Lisa Scheckelhoff: On a class of recurrent sequences based on the greatest prime factor function
(award-winning poster presentation)
2007 AMS-MAA Joint Meetings, New Orleans
[advisor Dr. Mihai Caragiu]

32. Andrew J. Homan: Robinson's theorem in connection with a Putnam problem
(award-winning poster presentation)
2007 AMS-MAA Joint Meetings, New Orleans
[advisor Dr. Mihai Caragiu]

31. Justin Gieseler: An application of elliptic curves to one-time pad cryptography
(award-winning poster presentation)
2007 AMS-MAA Joint Meetings, New Orleans
[advisors Dr. Mihai Caragiu and Dr. Ronald Johns]

30. Andrew J. Homan: An Extension of a Putnam problem
2006 MAA Ohio Fall Meeting, Muskingum College
[advisor Dr. Mihai Caragiu]

29. Lisa Scheckelhoff: On a class of sequences related to the greatest prime factor function
2006 MAA Ohio Spring Meeting, University of Akron
[advisor Dr. Mihai Caragiu]

28. Justin Gieseler: Randomness properties of elliptic curves
2006 MAA Ohio Spring Meeting, University of Akron
[advisors Dr. Mihai Caragiu and Dr. Ronald Johns]

27. Jason J. Bockey: Ford Circles
2006 MAA Ohio Spring Meeting, University of Akron
[advisor Dr. Donald Hunt]

26. Lisa Scheckelhoff: Sophie Germain Digraphs
(poster presentation) Eighth Annual Nebraska Conference for Undergraduate
Women in Mathematics (university of Nebraska, Lincoln), February 3-5, 2006.
[advisor Dr. Mihai Caragiu]

25. Kristi Patton: Continued Fractions
(poster presentation) 2006 AMS-MAA Joint Meetings, San Antonio, TX
[advisors Dr. Sandy Schroeder and Dr. Richard Daquila]

24. Jacob Johanssen: Fibonacci-Lucas densities
(poster presentation) 2006 AMS-MAA Joint Meetings, San Antonio, TX
[advisor Dr. Mihai Caragiu]

23. Justin Gieseler: The Distribution of points on elliptic curves projections
(poster presentation) 2006 AMS-MAA Joint Meetings, San Antonio, TX
[advisors Dr. Mihai Caragiu and Dr. Ronald Johns]

22. Kristi Patton: Continued Fractions
Undergraduate Mathematics Day,University of Dayton, November 5, 2005
[advisor Dr. Sandy Schroeder]

21. Justin Gieseler: Distribution of Points on Elliptic Curves Projections,
Undergraduate Mathematics Day,University of Dayton, November 5, 2005
[advisors Dr. Mihai Caragiu and Dr. Ronald Johns]

20. Justin Gieseler: Cubic Polynomials and Quadratic Residues
2005 MAA Ohio Fall Meeting, Ashland University
[advisor Dr. Mihai Caragiu]

19. Jacob L. Johanssen: Fibonacci-Lucas densities
2005 MAA Ohio Fall Meeting, Ashland University
[advisor Dr. Mihai Caragiu]

18. Nathan Baxter and Justin Gieseler: Some computer explorations in Number Theory
2005 MAA Ohio Spring Meeting, Miami University
[advisor Dr. Mihai Caragiu]

17. Nathan Baxter: Ultrasonic Beam-Forming with the Genetic Algorithm
(award-winning poster presentation) 2005 Joint MAA-AMS Meetings, Atlanta
[REU advisor Dr. Jerry Magnan, Florida State University]

16. Julie Holda: A closer look at Monte Carlo simulations
(poster presentation) 2005 Joint MAA-AMS Meetings, Atlanta
[Project developed at NASA Glenn Research Center]

15. Matt Katschke: San Gaku Problems and the Consequences of their Analogs
(poster presentation) 2005 Joint MAA-AMS Meetings, Atlanta
[REU advisor Dr. William Dickinson, GVSU; ONU advisor Dr. Donald Hunt]

14. Kara S. Lewis: Increasing the Retention Rate of Women in Sciences at Purdue University
2005 Joint MAA-AMS Meetings, Atlanta
[REU advisor Dr. George McCabe, Purdue University]

13. Nathan Baxter: Quadratic Residues: a Computer - Assisted Journey
2004 MAA Ohio Fall Meeting, John Carroll University
[advisor Dr. Mihai Caragiu]

12. Kristine Patton: The Ducci Problem: a Brief Review
2004 MAA Ohio Fall Meeting, John Carroll University
[advisor Dr. Mihai Caragiu]

11. Julie Holda: An application of Monte Carlo simulations for NASA
2004 Pi Mu Epsilon Fall Student Conference, Miami University, Oxford, OH
[Project developed in a summer internship at NASA Glenn Research Center]

10. Matt Katschke: San Gaku Problems in Other Geometries
2004 MATHFEST, Providence, RI
[REU Project at Grand Valley State University]

9. Kristine Patton: On Primorial Primes
2004 MAA Ohio Spring Meeting, University of Cincinnati
[advisor Dr. Mihai Caragiu]

8. Mark Clausing: Advanced compass and straightedge constructions
2004 MAA Ohio Spring Meeting, University of Cincinnati
[advisor Dr. Donald Hunt]

7. Nathan Baxter: Arithmetic Properties of Some Partial Sums
2004 MAA Ohio Spring Meeting, University of Cincinnati
[advisor Dr. Mihai Caragiu]

6. Nathan Baxter: P-adic exponents and some of their applications
(poster presentation) 2004 MAA-AMS Joint Meetings, Phoenix, AZ
[advisor Dr. Mihai Caragiu]

5. Nathan Baxter: An Application of Weyl's Theorem
2003 MAA Ohio Spring Meeting, The Ohio State University
[advisor Dr. Mihai Caragiu]

4. Matt Valerio: Fractal Exploration: A Look at Mandelbrot and Julia sets in 2 and 3 dimensions
2002 MAA Ohio Spring Meeting, Xavier University
[advisor Dr. Khristo Boyadzhiev]

3. Nicholas Vidovich: On a Fibonacci identity
2002 MAA Ohio Spring Meeting, Xavier University
[advisor Dr. Mihai Caragiu]

2. Thomas Jonell: A square root algorithm
2002 MAA Ohio Spring Meeting, Xavier University
[advisor Dr. Mihai Caragiu]

1. Ethan Miller and Paul Pfeiffer: Cellular Automata with Finite Life Span
2001 MAA Ohio Spring Meeting, Bowling Green
[advisor Dr. Mihai Caragiu]

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