Mark Kozek Assistant Professor (Associate Professor – effective 9/1/2013) 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. |

Publications: |
§ 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: |
Spring 2013: Stephanie Angus ‘12 (Keck Undergraduate Fellow), Project: “Our Friends, the Integers: Why Number Theorists Make Accessible Characters.” Summer/Fall 2012: Acadia Larsen ‘14 (Mellon-Mays Fellow), Project: “Restricted integer partitions sum congruences.” Summer 2012: Supervised four research teams at the Cornell University Summer Mathematics Institute. 1. Lane Bloome, Justin Ferguson and Marcella Noorman, Project: “Appending digits to Sierpiński and Riesel numbers.” 2. Kelly Dougan, Mahadi Osman and Jason Tata, Project: “Composites in different bases that remain composite after changing digits.” 3. Kelsey Houston-Edwards, Erin Linebarger and Michael Lugo, Project: “Minimality questions inspired by Erdős’ minimum modulus problem.” 4. Laura Lyman, Tim Morris, and Bridget Toomey, Project: “Incongruent restricted disjoint covering systems.” Fall 2011/Spring 2012: Angélica González ‘12 (Mellon-Mays Fellow), Project: “Applications of coverings to Fibonacci and Fibonacci-like numbers.” Fall
2011: Nicole Yamasaki ‘15, Project: “
Previous student research projects and more details. |

Teaching: |
Math 305 – Number Theory. Math 220 – Discrete Mathematics. Interdisciplinary Studies 234 – Numb3rs in W4r & Espion4ge (The Mathematics and Politics of Military Code-Breaking.) |

Spring Office Hours: |
Mondays: 3:30-4:20 Tuesdays: 11:00-11:30, 4:30-5:00. Wednesdays: 3:30-4:20 Thursdays: 11:00-11:30, 4:30-5:00. (Or by appointment.) |

Other Duties: |
Mathematics Colloquia (coordinator), The Math Club (sponsor), Pi Mu Epsilon (sponsor), Math Dept. Liaison to Library (coordinating book orders from math faculty). |

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

Conferences: |
May TBA, Southern California Number Theory Day #3 @ UCSD. April 30, Colloquium Speaker @ Cal Poly Pomona. March 1-2, MIT/Sloan Sports Analytics Conference 2013, Boston. January 9-12, Joint Mathematics Meetings JMM 2013, Special Session on Coverings of the Integers, San Diego. Previous Math Calendar (conferences, invited lectures, research trips, etc.) |