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Undergraduate Research

ECHOES AND CITATIONS OF FACULTY-STUDENT RESEARCH

  • The Greatest Prime Factor and Recurrent Sequences (M. Caragiu,G. Back, Fibonacci Quart. 48(4), 2010) - 4 citations, including one in Mathematica Bohemica,  referenced 5 times in The On-Line Encyclopedia of Integer Sequences (2010))
  • Quasi-random Structures from Elliptic Curves (M. Caragiu, R. Johns, J. Gieseler, JPANTA 6(3), 2006) - 7 citations, including a citation in IEEE Transactions on Information Theory 58, No. 2 (2012), Contemporary Mathematics (2009), and one in the journal Appl. Math. J. Chinese Univ. (2012))
  • The Greatest Prime Factor and Related Sequences (M. Caragiu, L. Scheckelhoff, JPANTA 6(2), 2006) - 7 citations, referenced in MathOverflow

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

    1. Thomas Steinberger, Alexandru Zaharescu and Mohammad Zaki: Arithmetic Functions on Gaussian Integers, International Journal of Number Theory (December 2013);
    2. Mihai Caragiu, Donald Pleshinger and Jonathan C. Schroeder: Uniform Distribution for a Class of k‑Paradoxical Oriented Graphs, JP Journal of Algebra, Number Theory and Applications, Volume 29, Issue 2, Pages 107-117 (June 2013);
    3. Lauren Cassell and William Roger Fuller: Guarding a Koch Fractal Art Gallery, Open Journal of Discrete Mathematics, Vol. 2 No. 4,134-137 (November 2012);
    4. 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);
    5. 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);
    6. Mihai Caragiu and Ashley Risch, An Euler-Fibonacci Sequence, Far East Journal of Mathematical Sciences, Volume 52, Issue 1, Pages 1-7 (May 2011)
    7. Greg Back and Mihai Caragiu, The Greatest Prime Factor and Recurrent Sequences, Fibonacci Quarterly 48, no. 4, 358-362 (November 2010);
    8. 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)
    9. Mihai Caragiu and John Holodnak: On Sampling Periodic Functions, Far East Journal of Mathematical Sciences, 29 (1), 145-149 (April 2008)
    10. 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)
    11. 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)
    12. 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)
    13. 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).

      CONFERENCE PROCEEDINGS

      ArXiv e-prints

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

      Student recognition in journals with problem solving sections

      1. The August 2011 Problem Section of the Fibonacci Quarterly features the solution to B-1074 provided by ONU-SOLVE;
      2. The November 2011 Problem Section of the Fibonacci Quarterly recognizes the ONU-SOLVE Problem Group for a correct solution submitted to problem B-1078;
      3. The June 2012 Issue of The Mathematics Magazine recognizes the ONU-SOLVE Problem Group twice, for correct solutions submitted to problems 1872 and 1873;
      4. The November 2012 Issue of The College Mathematics Journal recognizes Tommy Steinberger (ONU-SOLVE member) twice, for correct solutions submitted to problems 961 and 965.

      CONTRIBUTED TALKS/POSTERS AT PROFESSIONAL MEETINGS

      1. Zachary Soja: "The Case of The Disappearing Tablet", 2014 MAA Fall Meeting, University of Wittenberg [advisor Dr. William Fuller]
      2. James Rader: "Gold Glove Winners: Baseball Statistics", 2014 MAA Fall Meeting, University of Wittenberg [advisor Dr. Ryan Rahrig]
      3. Kerry DuLaney: "Exploring Gears and Watchmaking", 2014 MAA Fall Meeting, University of Wittenberg [advisor Dr. Donald Hunt]
      4. Nathan Knodel: "Scaling, Sneezes and the Elephant's Trunk" 2014 MAA Spring Meeting, Toledo, OH (April 2014) - [advisor: Dr. William Fuller]
      5. Emily Barbee: Another Downfall With Using Facebook, Pi Mu Epsilon Student Conference, Miami University (September 27, 2013) - [advisor: Dr. Ryan Rahrig]
      6. Lacey Hittle: Living With Loans, Pi Mu Epsilon Student Conference, Miami University (September 27, 2013) - [advisor: Dr. Ryan Rahrig]
      7. Thomas Steinberger: Arithmetical Functions On Gaussian Integers (poster presentation) 2013 MAA Undergraduate Poster Session, San Diego- [advisor: Dr. Mohammad Zaki]
      8. Jonathan C. Schroeder: A Uniform Distribution Result for k-Paradoxical Directed Graphs (poster presentation) 2013 MAA Undergraduate Poster Session, San Diego - [advisor: Dr. Mihai Caragiu]
      9. James Rader: Gold Glove Winners (poster presentation) 2013 MAA Undergraduate Poster Session, San Diego - [advisor: Dr. Ryan Rahrig]
      10. James Rader: Quantifying Defensive ability in Baseball, Miami University Fall Conference, 2012 - [advisor: Dr. Ryan Rahrig]
      11. Emily Barbee: Are the Statistics Really Statistics? - Miami University Fall Conference, 2012 [advisor: Dr. Ryan Rahrig]
      12. Johnathan Neville: What Difference Can A Single Game Make? - Miami University Fall Conference, 2012 [advisor: Dr. Laurence D. Robinson]
      13. Hannah DePriest: How Much Does One Point Matter? - Miami University Fall Conference, 2012 - [advisor: Dr. Ryan Rahrig]
      14. Joanna Snyder: Hot Hand - Miami University Fall Conference, 2012 [advisor: Dr. Ryan Rahrig]
      15. Caitlin Zook: My Relentless Struggle with a Sangaku Problem - 2012 Ohio MAA Spring Meeting, Xavier University  - [advisor: Dr. Donald Hunt]
      16. Tommy Steinberger: On Bernoulli's Inequality, 2012 Michigan Undergraduate Mathematics Conference, March 3, Siena Heights University - [advisor: Dr. Mohammad Zaki]
      17. 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]
      18. 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]
      19. Joe Mileski: The Mathematical Relationship between Musical Phrases [poster presentation], MAA Undergraduate Poster Session, 2012 Joint Mathematical Meetings, Boston - [advisor: Dr. William Fuller]
      20. Lauren Cassell: Guarding a Koch Fractal Art Gallery [poster presentation] - MAA Undergraduate Poster Session, 2012 Joint Mathematical Meetings, Boston [advisor: Dr. William Fuller]
      21. Courtney J. Brown: Special Polynomial Interpolation over Finite Fields, 2011 Undergraduate Mathematics Day, University of Dayton [advisor: Dr. Mihai Caragiu]
      22. Joseph Mileski: Paths of Melody Lines on Circles - 2011 Ohio MAA Fall Meeting, University of Findlay [advisor: Dr. William Fuller]
      23. Lauren Cassell: Guarding a Koch Fractal Art Gallery - 2011 Ohio MAA Fall Meeting, University of Findlay [advisor: Dr. William Fuller]
      24. Molly Eickholt: Simplifying Ford Links - 2011 Ohio MAA Spring Meeting, Youngstown State University [advisor: Dr. Donald Hunt]
      25. Kristin Elix: Maximizing The Product of Two Multi-Digit Numbers - 2011 Ohio MAA Spring Meeting, Youngstown State University -  [advisor: Dr. Harold Putt]
      26. David Mangus: Ways in Which I was Wrong - 2011 Ohio MAA Spring Meeting, Youngstown State University [advisor: Dr. Donald Hunt]
      27. Ashley Risch: An Euler-Fibonacci Sequence - Miami University Fall Conference, 2010 [advisor: Dr. Mihai Caragiu]
      28. Lauren Cassell, Joseph Mileski and Christopher Iliff: "Hyperbolic" Nine Point Circles - 2010 Ohio MAA Fall Meeting, Ursuline College [advisor: Dr. William Fuller]
      29. 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]
      30. Greg Back: The Greatest Prime Factor Function and Some Applications - 2010 Ohio MAA Spring Meeting, Kent State University [advisor Dr. Mihai Caragiu]
      31. Kevin Earnest: Perturbations in the Aerospace Sequence of Attitude Determination Using Quaternions - 2010 Ohio MAA Spring Meeting, Kent State University [advisor Dr. William Fuller]
      32. 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]
      33. Caitlin Zook: A Nonvanishing Result for Certain Sums … - 2010 Ohio MAA Spring Meeting, Kent State University [advisor Dr. Mohammad Zaki]
      34. 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]
      35. Greg Back: A Prime Addition Commutative Magma (poster presentation) - 2010 AMS-MAA Joint Meetings, San Francisco [advisor Dr. Mihai Caragiu]
      36. Andrew Magyar: Edgar Structures on Manifolds (poster presentation) - 2009 Mathfest, Portland OR [advisor Dr. William Fuller]
      37. 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]
      38. Axel Brandt: Characterisation of Ford Links - Undergraduate Knot Theory Conference, Denison University, 13-15 July 2009 [advisor Dr. Donald Hunt]
      39. Joshua Stoffel: Maxwell's equations - 2009 Ohio MAA Spring Meeting, Bowling Green [advisor Dr. Khristo Boyadzhiev]
      40. Joshua Szekely: Annular and annular-like functions - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Donald Hunt]
      41. Gregory Back: The Jacobi symbol and cryptography - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Mihai Caragiu]
      42. Eric Gossett: Hailstones in tornadoes - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Bill Fuller]
      43. Sharon Binkley: One-time pad and text visualization - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Mihai Caragiu]
      44. 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]
      46. 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]
      47. 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]
      48. Andrew Magyar: The Structure of Digroups - 2008 MAA Ohio Spring Meeting, Marietta College [REU advisor Dr. J. D. Phillips, Wabash College]
      49. Christopher Lemon: Markov Chains and the Ising Model, 2008 MAA Ohio Spring Meeting, Marietta College [advisor Dr. Ronald Johns]
      50. 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]
      51. John Holodnak: On Sequences Not Satisfying Recurrence Relations (poster presentation) - 2008 AMS-MAA Joint Meetings, San Diego [advisor Dr. Mihai Caragiu]
      52. Charise Kazmierczak: Geometry in Rose Windows - 2007 MAA Ohio Spring Meeting, Shawnee State University [advisor Dr. Maria Raiti]
      53. Megan Reese: The Golden Section and Design, 2007 MAA Ohio Spring Meeting, Shawnee State University [advisor Dr. Maria Raiti]
      54. Greg Back: Counting with Transfer Matrices - 2007 MAA Ohio Spring Meeting, Shawnee State University [advisor Dr. Mihai Caragiu]
      55. John Holodnak: Kronecker's Theorem and Linear Recurrences, 2007 MAA Ohio Spring Meeting, Shawnee State University [advisor Dr. Mihai Caragiu]
      56. Andrew Homan: An Outline of the Completeness Theorem, 2007 MAA Ohio Spring Meeting, Shawnee State University [advisor Dr. Mihai Caragiu]
      57. 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]
      58. 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]
      59. 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]
      60. Andrew J. Homan: An Extension of a Putnam problem, 2006 MAA Ohio Fall Meeting, Muskingum College [advisor Dr. Mihai Caragiu]
      61. 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]
      62. Justin Gieseler: Randomness properties of elliptic curves, 2006 MAA Ohio Spring Meeting, University of Akron [advisors Dr. Mihai Caragiu and Dr. Ronald Johns]
      63. Jason J. Bockey: Ford Circles, 2006 MAA Ohio Spring Meeting, University of Akron [advisor Dr. Donald Hunt]
      64. 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]
      65. Kristi Patton: Continued Fractions (poster presentation) - 2006 AMS-MAA Joint Meetings, San Antonio, TX [advisors Dr. Sandy Schroeder and Dr. Richard Daquila]
      66. Jacob Johanssen: Fibonacci-Lucas densities (poster presentation) - 2006 AMS-MAA Joint Meetings, San Antonio, TX [advisor Dr. Mihai Caragiu]
      67. 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]
      68. Kristi Patton: Continued Fractions - Undergraduate Mathematics Day,University of Dayton, November 5, 2005  [advisor Dr. Sandy Schroeder]
      69. 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]
      70. Justin Gieseler: Cubic Polynomials and Quadratic Residues, 2005 MAA Ohio Fall Meeting, Ashland University  [advisor Dr. Mihai Caragiu]
      71. Jacob L. Johanssen: Fibonacci-Lucas densities, 2005 MAA Ohio Fall Meeting, Ashland University  [advisor Dr. Mihai Caragiu]
      72. Nathan Baxter and Justin Gieseler: Some computer explorations in Number Theory - 2005 MAA Ohio Spring Meeting, Miami University [advisor Dr. Mihai Caragiu]
      73. 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]
      74. Julie Holda: A closer look at Monte Carlo simulations (poster presentation) 2005 Joint MAA-AMS Meetings, Atlanta  [Project developed at NASA Glenn Research Center]
      75. 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]
      76. 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]
      77. Nathan Baxter: Quadratic Residues: a Computer - Assisted Journey - 2004 MAA Ohio Fall Meeting, John Carroll University  [advisor Dr. Mihai Caragiu]
      78. Kristine Patton: The Ducci Problem: a Brief Review -  2004 MAA Ohio Fall Meeting, John Carroll University  [advisor Dr. Mihai Caragiu]
      79. 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]
      80. Matt Katschke: San Gaku Problems in Other Geometries (award-winning poster presentation) 2004 MATHFEST, Providence, RI  [REU Project at Grand Valley State University]
      81. Kristine Patton: On Primorial Primes -  2004 MAA Ohio Spring Meeting, University of Cincinnati  [advisor Dr. Mihai Caragiu]
      82. Mark Clausing: Advanced compass and straightedge constructions - 2004 MAA Ohio Spring Meeting, University of Cincinnati  [advisor Dr. Donald Hunt]
      83. Nathan Baxter: Arithmetic Properties of Some Partial Sums - 2004 MAA Ohio Spring Meeting, University of Cincinnati  [advisor Dr. Mihai Caragiu]
      84. Nathan Baxter: P-adic exponents and some of their applications [poster presentation]  - 2004 MAA-AMS Joint Meetings, Phoenix, AZ  [advisor Dr. Mihai Caragiu]
      85. Nathan Baxter: An Application of Weyl's Theorem, 2003 MAA Ohio Spring Meeting, The Ohio State University  [advisor Dr. Mihai Caragiu]
      86. 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]
      87. Nicholas Vidovich: On a Fibonacci identity - 2002 MAA Ohio Spring Meeting, Xavier University  [advisor Dr. Mihai Caragiu]
      88. Thomas Jonell: A square root algorithm, 2002 MAA Ohio Spring Meeting, Xavier University  [advisor Dr. Mihai Caragiu]
      89. Ethan Miller and Paul Pfeiffer: Cellular Automata with Finite Life Span, 2001 MAA Ohio Spring Meeting, Bowling Green [advisor Dr. Mihai Caragiu]
      Mathematics and Statistics Department

      Heidi Leek

      419-772-2346
      mathematics@onu.edu
      Mathile 240
      525 South Main Street
      Ada, Ohio 45810
      Monday: 8 a.m.-4:30 p.m.
      Tuesday: 8 a.m.-4:30 p.m.
      Wednesday: 8 a.m.-4:30 p.m.
      Thursday: 8 a.m.-4:30 p.m.
      Friday: 8 a.m.-4:30 p.m.
      Saturday: Closed
      Sunday: Closed