**Assistant Professor
Department of Mathematics & Computer Science**

Science & Learning Center 211D

562.907.4200, ext. 4441

mkozek@whittier.edu

Website

**Academic History**

A.B., Ed.M., Harvard University

M.A., Wake Forest University

Ph.D., University of South Carolina

## Professional Interests

### Number Theory

Coverings of the integers

Goldbach’s conjecture for monic polynomial

Composites that remain composite after changing a digit

Powers associated with Sierpiñski numbers

Riesel numbers and de Polignac's conjecture

Fibonacci-Sierpiñski numbers and Fibonacci-Riesel numbers

Erdös’ minimum modulus problem

Mathematics of sudoku/shidoku

**Academic ****Focus**

Modern Algebra I, Modern Algebra II, Number Theory, Linear Algebra, Advanced Geometry, Discrete Mathematics, Cryptography, Calculus I, Calculus II, Calculus III, Precalculus, Mathematics for Management Sciences, Mathematics in Literature and Cinema, Mathematics and Politics of Military Cryptography, and College Algebra

## Professional Activity

**Conferences**

January, Joint Mathematics Meetings JMM 2013, Special Session on Coverings of the Integers, San Diego.

December TBA, West Coast Number Theory Conference, Asilomar.

November 17, Southern California Conference on Undergraduate Research SCCUR 2012, Cal State Channel Islands.

November 4, Southern California Number Theory Day at UC Irvine.

October 27-28, AMS Fall 2012 Western Sectional Meeting, U. of Arizona.

October 13, MAA Fall 2012 SoCal Nevada Section Meeting, Cal State Long Beach.

Previous Math Calendar (conferences, invited lectures, research trips, etc.)

**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.