Wednesday, March 19, 2025
Monday, February 10, 2025
Saturday, January 11, 2025
Tuesday, December 17, 2024
Quanta Magazine: The Year in Math
"Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future."
Full article at
Tuesday, December 3, 2024
Tuesday, October 29, 2024
Saturday, October 19, 2024
Sunday, September 22, 2024
Integer partitions detect the primes
A remarkable new paper:
Integer partitions detect the primes, by William Craig, Jan-Willem van Ittersum, Ken Ono
Wednesday, September 18, 2024
Saturday, September 7, 2024
Monday, August 19, 2024
CV - Mihai Caragiu (8/19/2024)
 Office:
419-772-2352 August 19, 2024 |
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BIOGRAPHY
• 8/11 - present: Professor of Mathematics, Ohio Northern University
• 9/04 - 8/11: Associate Professor of Mathematics, Ohio Northern University (tenured since 8/06)
• 8/00 - 9/04: Assistant Professor of Mathematics, Ohio Northern University
• 7/99 - 7/00: Research Associate, Education Program for Gifted Youth, Stanford University
• 8/96 - 5/99: Assistant Professor, Department of Pure and Applied Mathematics, Washington State University
• 8/92 - 8/96: Graduate Teaching Assistant, Department of Mathematics, Pennsylvania State University
EDUCATION
• B. Sc. (1987) University of Bucharest
• M. Sc. (1988) University of Bucharest
• Ph. D. (1996) The Pennsylvania State University
TEACHING
Course taught at ONU include: Discrete Mathematics, Linear Algebra, Abstract Algebra, Foundations of Mathematics, Differential Equations, Calculus for Engineers, Calculus for Life Sciences, College Algebra, Number Theory and Cryptography, Probability and Graphs, Junior Seminar, Sophomore Seminar, Freshman Seminar, Mathematical Problem Solving, Senior Capstone.
AWARDS
• Fall Semester 2022-2023: sabbatical leave awarded
• 2021-2022 Mary Reichelderfer Chair of Mathematics, Ohio Northern University
• 2018 Faculty Research Award, the Getty College of Arts and Sciences (the first such award)
• 2017 Outstanding Teaching Faculty Award for Mathematics and Statistics, Ohio Northern University
• 2016-2017 Mary Reichelderfer Chair of Mathematics, Ohio Northern University
• Summer Research Stipend, Ohio Northern University, 2015
• Top 25 STEM Professors in Ohio (2013)
• 2011-2012 Mary Reichelderfer Chair of Mathematics, Ohio Northern University
• 2011 Outstanding Teaching Faculty Award for Mathematics and Statistics, Ohio Northern University
• 2010 Outstanding Teaching Faculty Award for Mathematics and Statistics, Ohio Northern University
• Summer Research Stipend, Ohio Northern University, 2010
• Winter Quarter 2008-2009: sabbatical leave awarded
• 2007-2008 Mary Reichelderfer Chair of Mathematics, Ohio Northern University
• 2004-2005 Mary Reichelderfer Chair of Mathematics, Ohio Northern University
• Pritchard Dissertation Fellowship, Penn State, 1996
• Wheeler P. Davey Memorial Scholarship, Penn State, 1995
• Wollmer-Klechner Scholarship in Science, Penn State, 1993
• Traian Lalescu awards, mathematics undergraduate contests, 1983 and 1984
• Member of the Mathematics Olympiad Team, Romania 1979-1982
RESEARCH INTERESTS
• Experimental Mathematics. Integer sequences. Prime Numbers. Greatest Prime Factor Sequences.
• Elementary and analytic number theory and their Applications. Cryptography.
• Fibonacci numbers. Ducci games and their analogues.
• Random Structures. Mathematical Physics.
• Mathematics Education. Undergraduate Research.
PEER REVIEWED JOURNAL PUBLICATIONS
1. M. Caragiu and K. Swieringa. On the alternating sum-of-divisors. JP Journal of Algebra Number Theory and Appl. 63, No. 2, 97-110 (2024). Journal publication with an ONU student co-author (Kaleb Swieringa).
2. M. Caragiu and R. Harbaugh. Extending a Putnam Problem to Fields of Various Characteristics. JP Journal of Algebra, Number Theory, and Appl. Vol 59, 33-45 (November 2022). Journal publication with an ONU student co-author (Rachael Harbaugh).
3. M. Caragiu, An Elementary Note on the Greatest Prime Factors of Linearly Related Integers, JP Journal of Algebra, Number Theory, and Appl. Vol 52(1), 95 - 100 (October 2021), http://dx.doi.org/10.17654/NT052010095
4. M. Caragiu and Addison Carter, Random Compositions for the Undergraduate Classroom. Far East J. of Math. Education Volume 19, Issue 2, Pages 129 - 139 (June 2019). Journal publication with an ONU student co-author (Addison Carter).
5. Mihai Caragiu, Shannon Tefft, Aaron Kemats and Travis Maenle. A linear complexity analysis of quadratic residues and primitive roots spacings. Far East J. of Math. Education Volume 19, Issue 1, Pages 27 - 37 (February 2019), https://arxiv.org/abs/1902.07314 Journal publication with three ONU student co-authors (Shannon Tefft, Aaron Kemats and Travis Maenle).
6. Mihai Caragiu. Sequential experiments with primes. Cham: Springer (ISBN 978-3-319-56761-7/hbk; 978-3-319- 56762-4/ebook). xi, 279 p. (2017). Springer research monograph featuring several undergraduate research themes that I engaged my students.
7. Mihai Caragiu, Paul A. Vicol, and Mohammad Zaki. On Conway’s subprime function, a covering of ℕ and an unexpected appearance of the Golden ratio. Fibonacci Quarterly 55, No. 4, 327-331 (2017).
8. Mihai Caragiu and Paul A. Vicol. Prime magmas and a cyclicity conjecture. JP Journal of Algebra, Number Theory and Appl. 38, No. 2, 129-143 (2016).
9. Mihai Caragiu, Alexandru Zaharescu and Mohammad Zaki. On Ducci sequences with primes. Fibonacci Quarterly 52, No. 1, 32-38 (2014).
10. Mihai Caragiu, Donald Pleshinger and Jonathan Schroeder. Uniform distribution for a class of k-paradoxical oriented graphs. JP Journal of Algebra, Number Theory and Appl. 29, No. 2, 107-117 (2013). Journal publication with two ONU student co-authors (Donald Pleshinger and Jonathan Schroeder).
11. Mihai Caragiu, Alexandru Zaharescu and Mohammad Zaki. An analogue of the Proth-Gilbreath conjecture. Far East J. Math. Sci. (FJMS) 81, No. 1, 1-12 (2013).
12. Mihai Caragiu and Courtney Brown. Quadratic residues and a special class of polynomials. Far East J. Math. Educ. 8, No. 1, 43-50 (2012). Journal publication with an ONU student co-author (Courtney Brown).
13. Mihai Caragiu, Alexandru Zaharescu and Mohammad Zaki. On a class of solvable recurrences with primes. JP Journal of Algebra, Number Theory and Appl. 26, No. 2, 197-208 (2012).
14. Mihai Caragiu, Alexandru Zaharescu and Mohammad Zaki. On Ducci sequences with algebraic numbers. Fibonacci Quarterly 49, No. 1, 34-40 (2011).
15. Mihai Caragiu, Mohammad Zaki and Lauren Sutherland. Multidimensional greatest prime factor sequences. JP Journal of Algebra, Number Theory and Appl. 23, No. 2, 187-195 (2011). Journal publication with an ONU student co-author (Lauren Sutherland).
16. Mihai Caragiu and Ashley Risch. An Euler-Fibonacci sequence. Far East J. Math. Sci. (FJMS) 52, No. 1, 1-7 (2011). Journal publication with an ONU student co-author (Ashley Risch).
17. Mihai Caragiu. Continuously composed rotations. Far East Journal of Mathematical Sciences, 39(2), 261-266 (April 2010).
18. Mihai Caragiu. On an inequality proposed by A. Lupas. Far East J. Math. Educ. 4, No. 1, 11-14 (2010).
19. Greg Back and Mihai Caragiu. The greatest prime factor and recurrent sequences. Fibonacci Quarterly 48, No. 4, 358-362 (2010). Journal publication with an ONU student co-author (Greg Back).
20. Mihai Caragiu. Recurrences based on the greatest prime factor function. JP Journal of Algebra, Number Theory and Appl. 19, No. 2, 155-163 (2010).
21. Mihai Caragiu and Greg Back. The greatest prime factor and related magmas. JP Journal of Algebra, Number Theory and Appl. 15, No. 2, 127-136 (2009). Journal publication with an ONU student co-author (Greg Back).
22. Mihai Caragiu, Ronald Johns and Sandra Schroeder. On the combined use of algebra and technology in the study of a family of sequences. Far East J. Math. Educ. 3, No. 1, 99-104 (2009).
23. Florin Caragiu and Mihai Caragiu. Discrete Structures as Holistic Models. Transdisciplinarity in Science and Religion No. 3, 103-110 (2008)
24. Mihai Caragiu and John Holodnak. On sampling periodic functions. Far East J. Math. Sci. (FJMS) 29, No. 1, 145- 149 (2008). Journal publication with an ONU student co-author (John Holodnak).
25. Mihai Caragiu. Discrete Fourier transforms and plane rotations. Adv. Appl. Discrete Math. 2, No. 2, 151-157 (2008).
26. Mihai Caragiu and Nathan Baxter. A note on p-adic Ducci games. JP Journal of Algebra, Number Theory and Appl. 8, No. 1, 115-120 (2007). Journal publication with an ONU student co-author (Nathan Baxter).
27. Mihai Caragiu and Lisa Scheckelhoff. The greatest prime factor and related sequences. JP Journal of Algebra, Number Theory and Appl. 6, No. 2, 403-409 (2006). Journal publication with an ONU student co-author (Lisa Scheckelhoff).
28. Mihai Caragiu and Laurence Robinson. An intermediate value theorem for sequences with terms in a finite set. JP Journal of Algebra, Number Theory and Appl. 6, No. 1, 57-70 (2006).
29. Mihai Caragiu, Ronald Johns and Justin Gieseler. Quasi-random structures from elliptic curves. JP Journal of Algebra, Number Theory and Appl. 6, No. 3, 561-571 (2006). Journal publication with an ONU student co-author (Justin Gieseler).
30. Mihai Caragiu. Codekets. Far East J. Math. Sci. (FJMS) 21, No. 2, 133-141 (2006).
31. Mihai Caragiu. A note on codes and kets. Sibirskie Èlektronnye Matematicheskie Izvestiya 2, 79-82 (2005).
32. Florin Caragiu and Mihai Caragiu. On the ranges of discrete exponentials. Int. J. Math. Math. Sci. 2004, No. 41- 44, 2265-2268 (2004).
33. Nathan Baxter and Mihai Caragiu. Arithmetic properties of some special sums. JP Journal of Algebra, Number Theory and Appl. 4, No. 3, 455-463 (2004). This was the first Mathematics journal publication with an ONU student co-author (Nathan Baxter).
34. Mihai Caragiu and William Webb. On modular Fibonacci sets. Fibonacci Quarterly 41, No. 4, 307-309 (2003).
35. Mihai Caragiu. Zero sets of polynomials: one versus two variables. Elemente der Mathematik 57, No. 2, 76-79 (2002).
36. Mihai Caragiu. Constructing irreducible polynomials with prescribed level curves over finite fields. Int. J. Math. Math. Sci. 27, No. 4, 197-200 (2001).
37. Mihai Caragiu. Multivariate interpolation by absolutely irreducible polynomials over finite fields. Revue Roumaine de Mathématiques Pures et Appliquées 46, No. 6, 719-724 (2001).
38. Mihai Caragiu and William Webb. Invariants for linear recurrences. Howard, Fredric T. (ed.), Appl. of Fibonacci numbers. Volume 8: Proceedings of the eighth international research conference on Fibonacci numbers and their Appl., Rochester, NY, USA, June 22-26, 1998.
39. Mihai Caragiu. First-order non-definability for primitive roots. Revue Roumaine de Mathématiques Pures et Appliquées 44, No. 2, 167-169 (1999).
40. Mihai Caragiu and Mellita Caragiu. The GL (n, p) – invariance of the Potts Hamiltonian. Int. J. Math. Math. Sci. 20, No. 1, 33-36 (1997).
41. Mihai Caragiu and Gary L. Mullen. The distribution of power residues in finite fields. Southeast Asian Bulletin of Mathematics 21, No. 2, 149-157 (1997).
42. Mihai Caragiu. On a class of constant weight codes. Electronic Journal of Combinatorics 3, No. 1, Research paper R4, 13 p. (1996); printed version J. Comb. 3, No. 1, 43-55 (1996).
43. Mihai Caragiu. On a class of finite upper half-planes. Discrete Mathematics 162, No. 1-3, 49-66 (1996).
44. Mihai Caragiu. On the combinatorics of squares in some zero characteristic fields. Nieuw Archief voor Wiskunde. Vierde Serie, IV. Ser. 13, No. 2, 209-218 (1995).
45. Mihai Caragiu and Mellita Vicol. A field with an unusual square distribution. Mathematica 36(59), No. 1, 21-23 (1994).
46. Mihai Caragiu. Counting the maximal sequences of consecutive quadratic residues modulo p. Revue Roumaine de Mathématiques Pures et Appliquées 38, No. 9, 745-749 (1993).
47. Mihai Caragiu and Mellita Vicol. Ternary quadratic forms over differential fields, with Appl. in physics. Mathematica 35(58), No. 2, 123-126 (1993).
48. Mihai Caragiu. Representations of groups through automorphisms of generalized metric spaces. Stud. Cercet. Mat. 44, No. 4, 285-288 (1992).
49. Mihai Caragiu. The Riemann hypothesis and the logic of finite fields. Proceedings of the 9th national conference on algebra held at the University of Cluj-Napoca, Romania, September 18-20, 1991.
50. Mihai Caragiu. Equations in Abelian groups. Gazeta Matematica, Perfecţ. Metod. Metodol. Mat. Inf. 13, No. 1-2, 41-47 (1992).
PROBLEM – POSING ACTIVITY
1. Mihai Caragiu. Problem 2021 – Mathematics Magazine (June 2017).
BOOK REVIEWS NON-FICTION
1. Mihai Caragiu. David Berlinski: "One, Two, Three: Absolutely Elementary Mathematics" (Pantheon Books, 2011) book review published in the Journal of the ACMS (September 2011).
MATHEMATICS TEXTBOOKS REVIEWING
1. Reviewed a Discrete Mathematics book proposal for Birkhäuser/Springer (March 2022)
CONFERENCE PRESENTATIONS
(INT – International, INV – Invited, SPEC – Special Session Talk)
1. 2021 Fall Meeting of the Ohio MAA, University of Toledo. Title: “Being an experimentalist: classroom explorations in Experimental Math”
2. 2017 Fall Meeting of the Ohio MAA invited address, Ohio University Eastern. Title: “Sequential Experiments with Primes” (INV)
3. 2016 Math Fest, Columbus OH. Special Session on Programming in Mathematics Classes and Mathematics for Programming. Title: “Computational Number Theory - Quest and Discovery in the Undergraduate Classroom” (SPEC)
4. 2016 Ohio MAA Spring Meeting, Ohio Northern University. Title: “Romanian Mathematics Baccalaureate Exam (2015)”
5. 2015 Ohio MAA Fall Meeting, Capital University. Title: “All primes in terms of one: non-associative algebra and Google cloud computing”
6. 2013 Miami University OH Fall Conference. Title: “Making it count: undergraduate research with an impact”.
7. Mihai Caragiu. Uniform distribution for a class of k-paradoxical oriented graphs. Special Session on Discrete Mathematics and Theoretical Computer Science, Joint International Meeting of the American Mathematical Society and the Romanian Mathematical Society, June 27 - 30, 2013, Alba Iulia, Romania (INT, SPEC)
8. 2012 University of Findlay’s Mathematics Colloquium invited talk. Title: “Beyond High School Science Fairs: The Senior Capstone Project” (INV)
9. 2009 Miami University, OH - 9/26. Conference on the Teaching of Undergraduate Mathematics. Title: "Difference Quotient Revisited".
10. 2009 Ohio MAA Spring Meeting, Bowling Green State University, April 3. Title: Rotations and translations revisited.
11. 2009 Joint Mathematics Meetings, Washington D.C., January 6: Sandra Schroeder (presenter) and Mihai Caragiu "On the combined use of algebra and technology in the study of a family of sequences".
12. 2008 Recreational Mathematics Conference, Miami University, OH, September 27. Title: "Computer Art with Elliptic Curves".
13. 2007 Ohio MAA Fall Meeting, Wittenberg University. Invited address: "Geometry with Complex Numbers". (INV)
14. 2007 Number Theory Conference, Miami University, Oxford, OH, September 28. Title: "Ultimate periodicity for a special class of GPF sequences"
15. 2007 Ohio MAA Spring Meeting, Shawnee State University. Title: "Congruential Extensions of Ducci Games".
16. 2007 AMS Spring Central Section Meeting, Miami University, Oxford OH, March 16. Title: On p-adic Ducci Games
17. 2006 AMS Fall Central Section Meeting, University of Cincinnati, October 21. Title: Recurrent sequences based on the greatest prime factor function
18. 2005 Ohio MAA Spring Meeting, Miami University. Title: "Small orders modulo p".
19. March 3, 2005 - Invited speaker in Penn State's Algebra and Number Theory Seminar. Title: "Some results involving sequences and graphs". (INV)
20. Mathematics and Symmetry Conference, Miami University, Oct 2-3, 2004. Title: "Quadratic residues between symmetry and randomness".
21. Special session on Fibonacci Numbers, 2004 Ohio MAA Spring Meeting, Cincinnati: "Entangled Lucas Numbers" (SPEC)
22. 2003 Ohio MAA Fall Meeting, Ohio Northern University. Title: "What is a spooky slice from a Lucas number?"
23. Discrete Mathematics & Its Appl. Conference, Miami University, October 3-4, 2003. Title: "Building bridges towards Physics in the Discrete Mathematics Class" (with Mellita Caragiu).
24. 2003 Ohio MAA Spring Meeting, Ohio State University. Title: "Cassini identity: a combinatorial proof".
25. 2002 Ohio MAA Spring Meeting, Xavier University. Title: "A new way of looking at primitive roots".
26. 2001 Ohio MAA Fall Meeting, Marietta College. Title: "Power Residues and Residual Randomness".
27. 2001 Ohio MAA Spring Meeting, Bowling Green University. Title: "The parity-check code viewed as an Ising model".
28. Miami University Math Conference, September 2000. Title: "Multivariate interpolation over Galois fields".
29. William Webb (presenter) and Mihai Caragiu, 9th International Conference on Fibonacci Numbers and Their Appl., Luxembourg, July 2000. Title: "Homogeneous Polynomial Identities for k-th Order Recurrences". (INT)
30. Spring 2000: University of Missouri, Columbia. Title: "Linear Recurrences Revisited".
31. Summer 1999: Stanford University, (Stanford Mathematics Camp Guest Lecturer). Title: "Cellular Automata".
32. Fall 1997: The University of Montana, Missoula. Title: "Finite Fields, Codes and Quasi-randomness".
33. Spring 1997: Washington State University. Title: "First-order non-definability of primitive roots".
34. Fall 1996: Washington State University. Title: "Partitions, q-series and... Fermions (on a result of Richard Borcherds)".
35. Spring 1996: Washington State University. Title: "On a class of nonlinear codes".
ONU MATHEMATICS SEMINAR PRESENTATIONS
• Fall 2022. “The Dirac’s Delta function”
• Fall 2022. “The 2N+1 Problem”
• Fall 2017. “The top problem in the MAA Ohio Spring Competition: a discussion”
• Fall 2016. “Computational number theory - quest and discovery in the undergraduate classroom”
• Spring 2016. “Publications: exploring the mathematical Pale Blue Dot”
• Fall 2015. “Experimental Mathematics: Primes, Sequences, and Non-Associative Algebra”
• Spring 2009. “Special Classes of Integer Sequences”
• Fall 2008. “Designing Nice Rugs by Using Number Theory”
• Fall 2007. “Trapping Prime Sequences”
• Fall 2007. “Simson lines and Nine-Point Circles”
• Fall 2006. “The 2006 Putnam Exam”
• Spring 2006. “Tridents, Thumbtacks, and Point Set Topology”
• Fall 2005. “Some Interesting Induction Problems
• Fall 2004. “Quadratic residues between symmetry and randomness”
• Fall 2003. "p-adic Numbers" (parts 1 and 2)
• Fall 2002. "Topological Quantum Field Theory: An Introduction" (parts 1 and 2)
• Fall 2001. "Beam me up! Quantum nonlocality, Pauli matrices, Codes and all that..."
• Fall 2001. "Primes, Polynomials and Modular Sequences".
• Winter 2000. "Extension of Algebra Operations: Category Theory"
OUTREACH (HIGH SCHOOL/MIDDLE SCHOOL)
• Hyperbolic geometry (First Annual Math Awareness Day, Spring 2002, ONU)
• A journey through Cryptography (Third Annual Math Awareness Day, Spring 2004, ONU)
• Number Games (workshop given at the Fourth Annual Math Awareness Day, Spring 2005, ONU)
• July 10, 2007. ONU "MI READY" Workshop: Number Theory and Cryptography
• Geometrical Transformations with Complex Numbers (Summer Honors Institute, ONU, 2006)
• Geometrical Transformations with Complex Numbers (Summer Honors Institute, ONU, June 2007)
• Cryptography (Summer Honors Institute, ONU 2013, 2014, 2015, 2016, 2018.
UNDERGRADUATE RESEARCH
• 37 senior research (capstone) projects advised since 2003
• 15 journal articles published with undergraduate co-authors
• 40 conference presentations by student advisees, most ever for an Ohio Northern Math/Stat faculty (first one, at the 2001 MAA Ohio Spring Meeting in Bowling Green, initiated the streak of 107 ONU student presentations at mathematical meetings since 2001).
CAPSTONE PROJECTS CONDUCTED
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
LATEST PRESENTATIONS BY ADVISED STUDENTS
· Kaleb Swieringa (corresponding author), Joelena Brown, Rachael Harbaugh, and Francis Nadolny: Artsy Chaos: The Secret Life of a Class of Trigonometric Sums, 2022 Student Research Colloquium, ONU
· Alexander Hare: A Strange Attractor with Prime, 2022 Student Research Colloquium, ONU
· Aaron Kemats and Travis Maenle: "Linear Complexities of Quadratic Residues and Primitive Roots Spacings"- 2018 Ohio MAA Fall Meeting, Malone University, October 27, 2018
· Shannon Tefft: "Processing Quadratic Residues with Ducci Iterations" - 2018 Ohio MAA Fall Meeting,
• Malone University, October 27, 2018
· Aaron Kemats: A Fibonacci-Lucas experiment. Fall Meeting of the Ohio Section of the MAA, Ohio University Eastern, October 28, 2017.
· Takumi Kijima: Naïve Bayes Classifier. Fall Meeting of the Ohio Section of the MAA, Ohio University Eastern, October 28, 2017.
· Michelle Haver. On the R. Lemke Oliver - K. Soundararajan recent "prime conspiracy". The Spring Meeting of the Ohio Section of the MAA (“Centennial Meeting”), Ohio Northern University, April 9, 2016.
ADVISOR FOR AWARD-WINNING Student poster presentations at national level
1. Lisa Scheckelhoff (2007): On a class of recurrent sequences based on the greatest prime factor function.
2. Andrew J. Homan (2007): Robinson's theorem in connection with a Putnam problem.
3. Justin Gieseler (2007): An application of elliptic curves to one-time pad cryptography - project jointly advised by Mihai Caragiu and Ronald Johns.
The ONU-Solve Problem Group
• In January 2011, together with Dr. Chowdhury we founded the ONU-Solve Problem Group with the purpose of engaging students in solving problems proposed in mainstream math journals with problem sections. The ONU-Solve achievements include 23 mentions of ONU-SOLVE (or ONU-SOLVE members) among those submitting correct solutions (with 3 of those published as featured solutions).
Service/administrative work
• Mathematics Program Lead (2020-2022)
• Mathematics Co-Chair, Department of Mathematics and Statistics, Ohio Northern University (2018-2020)
• Chair, of Department of Mathematics and Statistics, Ohio Northern University (2014 – 2018)
• Member in the Getty College of Arts and Sciences’ Council of Department Chairs (CDC) 2014-2018
• Worked on the Mathematics and Statistics website as the departmental web person.
• Meeting with prospecting students (about 20-30 meetings per year).
• Initiated a Modern Mathematics cultural literacy poster project for ONU students.
• Organized a local test center for the AMC 10/12 American Mathematical Competitions at Ohio Northern University, for students in neighboring high schools. Two such competitions were held so far (2018, 2019).
• Mentored incoming faculty
• Inviting external speakers in the ONU Math Seminar
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