Mark Kozek Associate Professor Whittier, CA 90608-0634 |
Contact Info: E-mail: mkozek {A_T} whittier.edu Telephone: (562) 907-4200 ext. 4441 FAX: (562) 464-4514 Office: Stauffer (Science) 108-C |

Research Interests: |
Applications
of coverings of the integers. Erdős’ minimum modulus problem.
Fibonacci/Lucas numbers that are also Sierpiński/Riesel numbers.
Goldbach’s conjecture for monic polynomials. Composite numbers that remain
composite after any substitution (ditto for insertion) of a digit.
Sierpiński and Riesel numbers that “likely” do not arise from coverings.
Numbers of the form: k
Mathematics in literature and cinema. Sports analytics (FIFA Foe Fun). |

Publications and Scholarship: |
§ Polygonal, Sierpiński, and Riesel numbers (with Dan Baczkowski, Justin Eitner, Carrie Finch, and Braeden Suminski), submitted. § Harmonious pairs (with Florian Luca, Paul Pollack and Carl Pomerance), submitted. § Mathematics in literature and cinema: an interdisciplinary course (with H. Rafael Chabrán), submitted. § Composites in different bases that remain composite after changing digits (with Kelly Dougan, Mahadi Osman, and John Tata), submitted. § Book Review: § Composites that remain composite after changing a digit (with Michael Filaseta, Charles Nicol and John Selfridge), J. Combin. Number Theory 2 (2011), 25--36. [pdf] § An asymptotic formula for Goldbach’s conjecture with monic polynomials in Z[x], Amer. Math. Monthly 117 (2010), no. 4, 365--369. [pdf] § On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture (with Michael Filaseta and Carrie Finch), J. Number Theory 128 (2008), no. 7, 1916--1940. [pdf] § Applications of Covering Systems of Integers and Goldbach’s Conjecture for Monic Polynomials, Ph.D. dissertation, University of South Carolina, Columbia, 2007. |

Recent Work with Students: |
Fall 2014: Peter Tran ‘15 (Senior Seminar), Project: “On Keener’s theorem (aka the ‘Futurama’ theorem).” Spring/Summer 2014: Acadia Larsen ‘14 (Mellon-Mays Fellow), Project: “A Survey of Divisibility Proprieties of the Partition Function and Related Functions.” To appear in The 2014 MMUF Undergraduate Journal. Spring 2013: Stephanie Angus ‘12 (Keck Undergraduate Fellow), Project: “Our Friends, the Integers: Why Number Theorists Make Accessible Characters.”
Previous student research projects and more details. |

Teaching: |
Math 141B – Calculus II and Analytic Geometry. Math 85 – Precalculus.
Previous courses. |

Office Hours: |
MTThF, 11:00-11:30 am. MTTh, 2:30-3:20 pm. |

Other Duties: |
Math Department Chair, 2015-2018. Co-Chair, Student Fellowships Committee. Math Dept. Liaison to Library (coordinating book orders from math faculty). |

Miscellanea: |
Essays/articles/podcasts about soccer. My trivia team. My brother’s photos. |

Fall 2014 Conferences: |
January 10-13, Joint Mathematics Meetings JMM 2015, San Antonio, TX. November 1, Fall 2014 So-Cal Nevada Section of the MAA, Pomona College. October 18, Southern California Number Theory Day, Fall 2014, UC Irvine.
Previous Math Calendar (conferences, invited lectures, research trips, etc.) |