Mark Kozek

Associate Professor

Department of Mathematics

Whittier College

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

 

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: Mathematics in Popular Culture: Essays on Appearances in Film, Fiction, Games, Television and Other Media. Edited by Jessica K. Sklar and Elizabeth S. Sklar, Amer. Math. Monthly 121 (2014) no. 3, 274--278.

§  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.)


 

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