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

 

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

 

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

 

Previous student research projects and more details.


Teaching:

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

Previous Courses.


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 60th Birthday), Montreal, Canada.

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.)


 

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