Mark Kozek

Assistant Professor

(Associate Professor – effective 9/1/2013)

Department of Mathematics

Whittier College

Whittier, CA 90608-0634


Contact Info:

E-mail: mkozek {A_T}

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: kr2n+1, kr2n-1, and kr-2n. Factorization of x2+x.

Mathematics in literature and cinema.


§  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: “Arcadia: A Means to Embed Math in the Soul.”


Previous student research projects and more details.


Math 305 – Number Theory.

Math 220 – Discrete Mathematics.

Interdisciplinary Studies 234 – Numb3rs in W4r & Espion4ge (The Mathematics and Politics of Military Code-Breaking.)

Previous Courses.


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).


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


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.)