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Mark
Kozek Assistant
Professor Department
of Mathematics 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 |
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Research: |
Fibonacci/Lucas numbers that are
also Sierpiński/Riesel
numbers. Goldbach’s conjecture for monic polynomials. Applications of coverings of the
integers. 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. |
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Publications: |
§ An
asymptotic formula for Goldbach’s conjecture with monic polynomials in Z[x], Amer. Math. Monthly 117
(2010), no. 4, 365--369. § Composites that remain
composite after changing a digit (with Michael Filaseta,
Charles Nicol and John Selfridge), J. Combin.
Number Theory 2, no. 1, 25—36. §
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. |
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Supervised Student
Research: |
Summer/Fall
2011: Angélica González ‘12 (Mellon-Mays Fellow), Project: “Relationship
between Sierpiński, Riesel,
and Fibonacci Numbers.” Fall
2010: Tobit Raff ’11, Project: “On Oregon’s placard
code.” Summer
2010: Angélica González ‘12 (Mellon-Mays Fellow), Project: “Relationship
between Sierpiński, Riesel,
and Fibonacci Numbers.” Summer
2009: Tobit Raff ‘11, Project: “Computations with Erdős’ minimum modulus problem.” Summer
2008: Supervised two research teams at the Cornell University Summer Mathematics Institute. 1.
Kelly Bickel, Michael Firrisa, Juan
Pablo Ortiz, and Kristen Pueschel, Project: “Constructions
of Coverings of the Integers: Exploring an Erdős
Problem.” 2.
Stefano Campagna, Ashley Larsen,
Russell Latterman, Andrea Stephan, Project: “On the
properties and structure of 4 × 4 Sudoku tables, with 9 × 9 extensions.” More details about these student research
projects. |
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Teaching: |
Math 491A – Senior Seminar. Math 220 – Discrete Mathematics. Math 139A – Integrated Precalculus/Calculus, Part I. FWS 100-05 – “Indiana Jones and
Lara Croft: Mathematicians!” Previous
Courses. |
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Fall Office Hours: |
Mondays: 4:30-5:20. Tuesdays: 3:00-3:50. Wednesdays: 4:30-5:20. Thursdays: 2:00-2:50. (Or by appointment.) |
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Other Duties: |
Mathematics Colloquia
(coordinator), The Math Club (sponsor), Pi Mu Epsilon (sponsor), Mathematical
Library (coordinating book orders). |
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Miscellanea: |
Essays/articles about soccer. My old soccer
team. My new soccer team. My brother’s photos. |
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Conferences: |
January 4-7, Joint Mathematics Meetings, (Boston, MA). December 16-20, West Coast Number Theory Conference, (Asilomar, CA). November 19, SCCUR 2011 (Mt. San Antonio College). October
26-29, INTEGERS 2011 (Univ. of West Georgia). October
22-23, AMS Fall 2011 Western Sectional Meeting (Univ. of Utah). October
22, Southern California Number Theory Day 2011-12 #1 (UC Irvine). October 15, MAA
Fall 2011 SoCal-Nevada Section
Meeting (Cal State LA). Previous
Conferences Attended/Presented. |