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 |

*** On SABBATICAL leave during 2013-2014 school year.***

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: |
***On SABBATICAL leave during 2013-2014 academic year.*** |

Office Hours: |
***On SABBATICAL leave during 2013-2014 academic year.*** |

Other Duties: |
***On SABBATICAL leave during 2013-2014 academic year.*** [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. |

Fall 2013 Conferences: |
January 15-18, Joint Mathematics Meetings JMM 2014, Baltimore, Maryland. December 15-19, West Coast Number Theory Conference WCNT 2013 (tentative), Asilomar. October 24-27, INTEGERS 2013 (Erdos Centennial Conference), Univ. of West Georgia. October
15-17, SCHOLAR
Conference (Ram Murty’s 60 October 5-6, Maine-Quebec 2013 Number Theory Conference, Univ. of Maine. August 5-9, Inaugural Mathematical Congress of the Americas MCA 2013, Guanajuato, Mexico. Previous Math Calendar (conferences, invited lectures, research trips, etc.) |