Mark Kozek

$Mark Kozek$ Associate Professor
Department of Mathematics & Computer Science
Science & Learning Center 211D

Academic History

A.B., Ed.M., Harvard University
M.A., Wake Forest University
Ph.D., University of South Carolina

Number Theory in the spirit of Paul Erdős: harmonious pairs, applications of coverings of the integers
Erdős's minimum modulus problem
Polygonal Riesel and Sierpiński numbers
Composites in different bases that remain composite after changing digits
Numbers of the form: k^r2^n+1, k^r2^n-1, and k^r-2^n
Goldbach's conjecture for monic polynomials

Mathematical Themes in a First-Year Seminar (co-edited with Jennifer Schaefer, Jennifer Bowen, and Pamela Pierce), MAA Notes Series, Mathematical Association of America, Washington DC, 2021.

Math in Pop Culture: A First-Year Writing Seminar on Mathematics, Mathematical Themes in a First-Year Seminar, MAA Notes Series, Mathematical Association of America, Washington DC, (2021), 203--212.
Mathematics in literature and cinema: an interdisciplinary course (with H. Rafael Chabrán), PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies 26 (2016) no. 4, 334--344.
Harmonious pairs (with Florian Luca, Paul Pollack and Carl Pomerance), International Journal of Number Theory 11 (2015) no. 5, 1633--1651.
Polygonal, Sierpiński, and Riesel numbers (with Dan Baczkowski, Justin Eitner, Carrie Finch, and Braeden Suminski), Journal of Integer Sequences 15 (2015) no. 8, 12 pp.
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, American Mathematical Monthly 121 (2014) no. 3, 274--278.
Composites that remain composite after changing a digit (with Michael Filaseta, Charles Nicol and John Selfridge), Journal of Combinatorics and Number Theory 2 (2011), 25--36.
An asymptotic formula for Goldbach’s conjecture with monic polynomials in Z[x], American Mathematical Monthly 117 (2010), no. 4, 365--369.
On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture (with Michael Filaseta and Carrie Finch), Journal of Number Theory 128 (2008), no. 7, 1916--1940.