- Mihai Caragiu and Courtney J. Brown: Quadratic residues and a special class of polynomials, Far East Journal of Mathematical Education, Volume 8, Issue 1, 43-50 (February 2012);
- Mihai Caragiu, Lauren Sutherland and Mohammad Zaki, Multidimensional Greatest Prime Factor Sequences, JP Journal of Algebra, Number Theory and Applications, Volume 23, Issue 2, Pages 187-195 (December 2011);
- Mihai Caragiu and Ashley Risch, An Euler-Fibonacci Sequence, Far East Journal of Mathematical Sciences, Volume 52, Issue 1, Pages 1-7 (May 2011)
- Greg Back and Mihai Caragiu, The Greatest Prime Factor and Recurrent Sequences, Fibonacci Quarterly 48, no. 4, 358-362 (November 2010);
- Mihai Caragiu and Greg Back: The Greatest Prime Factor and Related Magmas, JP Journal of Algebra, Number Theory and Applications, 15(2), 127-136 (December 2009)
- Mihai Caragiu and John Holodnak: On Sampling Periodic Functions, Far East Journal of Mathematical Sciences, 29 (1), 145-149 (April 2008)
- Mihai Caragiu and Nathan Baxter: A note on p-adic Ducci games, JP J. of Algebra, Number Theory and Appl. 8 (1), 115-120 (June 2007)
- Mihai Caragiu, Ronald A. Johns and Justin Gieseler: Quasi-random Structures from Elliptic Curves, JP Journal of Algebra, Number Theory and Applications, 6 (3), 561-571 (December 2006)
- Mihai Caragiu and Lisa Scheckelhoff: The Greatest Prime Factor and Related Sequences, JP Journal of Algebra, Number Theory and Applications, 6 (2), 403-409 (August 2006)
- Nathan Baxter and Mihai Caragiu: Arithmetic Properties of Some Special Sums, JP Journal of Algebra, Number Theory and Applications, 4 (3), 455-463 (December 2004)
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AcademicsCollege of Arts & SciencesAcademic DepartmentsMathematics & StatisticsUndergraduate ResearchUndergraduate Research
JOURNAL PAPERS BASED ON RESEARCH DONE AT ONU WITH ONU STUDENTS AS CO-AUTHORS
CONFERENCE PROCEEDINGS
- Kristi Patton, Sandra Schroeder and Richard Daquila: An Investigation of Continued Fractions, Electonic Proceedings of Undergraduate Mathematics Day, Volume 2, Nov. 2005.
ArXiv e-prints
- Mihai Caragiu and Jacob L. Johanssen, Fibonacci-Lucas densities, math.GM/0603232
Recent Capstone Presentations by ONU Math/Stat Majors
CONTRIBUTED TALKS/POSTERS AT PROFESSIONAL MEETINGS
75. Caitlin Zook: My Relentless Struggle with a Sangaku Problem
2012 Ohio MAA Spring Meeting, Xavier University
[advisor: Dr. Donald Hunt]
74. Tommy Steinberger: On Bernoulli's Inequality
2012 Michigan Undergraduate Mathematics Conference, March 3, Siena Heights University
[advisor: Dr. Mohammad Zaki]
73. Ashley Ernst, Morgan Hammer, Mitchell Thayer and Matt Tremains : A Nice Relation in Triangle Geometry
2012 Michigan Undergraduate Mathematics Conference, March 3, Siena Heights University
[advisor: Dr. Mihai Caragiu]
72. Emily Barbee, David Kauffman, Katie Klopp and Liz Spingola: On The Product of Binomial Coefficients
2012 Michigan Undergraduate Mathematics Conference, March 3, Siena Heights University
[advisor: Dr. Mihai Caragiu]
71. Joe Mileski: The Mathematical Relationship between Musical Phrases [poster presentation]
MAA Undergraduate Poster Session, 2012 Joint Mathematical Meetings, Boston
[advisor: Dr. William Fuller]
70. Lauren Cassell: Guarding a Koch Fractal Art Gallery [poster presentation]
MAA Undergraduate Poster Session, 2012 Joint Mathematical Meetings, Boston
[advisor: Dr. William Fuller]
69. Courtney J. Brown: Special Polynomial Interpolation over Finite Fields
2011 Undergraduate Mathematics Day, University of Dayton
[advisor: Dr. Mihai Caragiu]
68. Joseph Mileski: Paths of Melody Lines on Circles
2011 Ohio MAA Fall Meeting, University of Findlay
[advisor: Dr. William Fuller]
67. Lauren Cassell: Guarding a Koch Fractal Art Gallery
2011 Ohio MAA Fall Meeting, University of Findlay
[advisor: Dr. William Fuller]
66. Molly Eickholt: Simplifying Ford Links
2011 Ohio MAA Spring Meeting, Youngstown State University
[advisor: Dr. Donald Hunt]
65. Kristin Elix: Maximizing The Product of Two Multi-Digit Numbers
2011 Ohio MAA Spring Meeting, Youngstown State University
[advisor: Dr. Harold Putt]
64. David Mangus: Ways in Which I was Wrong
2011 Ohio MAA Spring Meeting, Youngstown State University
[advisor: Dr. Donald Hunt]
63. Ashley Risch: An Euler-Fibonacci Sequence
Miami University Fall Conference, 2010
[advisor: Dr. Mihai Caragiu]
62. Lauren Cassell, Joseph Mileski and Christopher Iliff: "Hyperbolic" Nine Point Circles
2010 Ohio MAA Fall Meeting, Ursuline College
[advisor: Dr. William Fuller]
61. Axel Brandt and Nicholas Erickson: Efficiencies of Factorization Algorithms on RSA Encryption
(poster presentation) 2010 Posters on the Capitol, Columbus, OH
[advisors: Dr. Mohammad Zaki and Dr. Nathaniel Bird]
60. Greg Back: The Greatest Prime Factor Function and Some Applications
2010 Ohio MAA Spring Meeting, Kent State University
[advisor Dr. Mihai Caragiu]
59. Kevin Earnest: Perturbations in the Aerospace Sequence of Attitude Determination Using Quaternions
2010 Ohio MAA Spring Meeting, Kent State University
[advisor Dr. William Fuller]
58. John Holodnak: The Perron-Frobenius Theorem with Applications to Sports Ranking Models
2010 Ohio MAA Spring Meeting, Kent State University
[REU advisor Dr. Carl D. Meyer, North Carolina State University]
57. Caitlin Zook: A Nonvanishing Result for Certain Sums …
2010 Ohio MAA Spring Meeting, Kent State University
[advisor Dr. Mohammad Zaki]
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
(award-winning poster presentation) 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]
