
Michael J. Mossinghoff 


Department of Mathematics and Computer Science 
Office: Chambers 3039 
Davidson College 
Office hours: M 2:303:30, WF 2:304:00 
Box 6996 
Phone: 7048942238 
Davidson, NC 280356996 
Fax: 7048942005 


My vita is available, and so are
titles and abstracts of many mathematical talks
of mine.
You can view my academic family tree.
Teaching
 Fall 2014: CSC 321, Analysis of Algorithms.
 Fall 2014: Math 108, Mathematics and Politics.
 Fall 2014: Math 330, Real Analysis.
 Spring 2015: CSC 324, Theory of Computation.
 Spring 2015: Math 113, Calculus II.
Sports Ranking
Research
 During the summer of 2014, I led the
Summer@ICERM program on
Polygons and Polynomials at the
Institute for Computational and
Experimental Research in Mathematics (ICERM) at Brown University,
together with
Sinai
Robins of Nanyang Technological University.
 I am an associate editor of
Mathematics of Computation.
 My research interests lie in number theory (including analytic,
computational, combinatorial, and transcendental aspects), combinatorics,
and discrete geometry. I am particularly interested in extremal problems
concerning integer polynomials, for instance, problems dealing with
Mahler's measure of a polynomial, problems regarding Barker sequences and
related topics, and problems regarding factors of polynomials with
restricted coefficients. In discrete geometry, I am interested in some
problems regarding convex polygons.
 A nice introduction to many of the problems I work on can be found in
the book of P. Borwein, Computational Excursions in Analysis and
Number Theory (SpringerVerlag, 2002).
 The Palmetto Number Theory Series
(PANTS) XX conference on number theory was held at Davidson College on
September 78, 2013.
 I maintain a site on
Lehmer's problem
concerning Mahler's measure of polynomials with integer coefficients.
 I also maintain a site on
Wieferich pairs,
Barker sequences, and circulant Hadamard matrices.
Selected Publications
Books
 The second edition of my textbook Combinatorics and Graph Theory,
written with John Harris
and Jeffry Hirst,
appeared in 2008. It is published by Springer, in the series
Undergraduate Texts in Mathematics.
 The first edition of Combinatorics and Graph Theory,
also published by Springer, appeared in 2000.
 I am coauthor of the Maple V Quick Reference (Brooks/Cole,
1994), with Nancy Blachman.
Preprints and Recent Reprints of Research Papers (PDF)
 Nonnegative
trigonometric polynomials and a zerofree region for the Riemann
zetafunction (with T. S. Trudgian), submitted for
publication.
 Most Reinhardt
polygons are sporadic (with K. Hare), submitted for
publication.
 Negative Pisot
and Salem numbers as roots of Newman polynomials (with
K. Hare), Rocky Mountain J. Math. 44 (2014), no. 1,
113138.
 Wieferich
pairs and Barker sequences, II, (with P. Borwein), LMS J.
Comput. Math. 17 (2014), no. 1, 2432. Some
data associated
with this research are also available.
 Between
the problems of Pólya and Turán (with T.
Trudgian), J. Aust. Math. Soc. 93 (2013), no. 12, 157171.
 Sporadic Reinhardt
polygons (with K. Hare), Discrete Comput. Geom. 49
(2013), no. 3, 540557. (The original publication is available at
www.springerlink.com.)
 The
distance to an irreducible polynomial, II (with
M. Filaseta), Math. Comp. 81 (2012), no. 279, 15711585.
 Average Mahler's
measure and L_{p} norms of unimodular polynomials
(with K.K. S. Choi), Pacific J. Math. 252 (2011), no. 1,
3150.
 Enumerating isodiametric and
isoperimetric polygons, J. Combin. Theory Ser. A
118 (2011), no. 6, 18011815.
 The distance to an irreducible
polynomial, in Gems in Experimental Mathematics,
T. Amdeberhan, L. A. Medina, and V. H. Moll, eds., Contemp.
Math. 517, Amer. Math. Soc., 2010.
 Heights of roots of
polynomials with odd coefficients
(with J. Garza, M. I. M. Ishak, C. G. Pinner, and B. Wiles),
J. Théor. Nombres Bordeaux 22 (2010),
no. 2, 369381.
 Lower bounds for
heights in cyclotomic extensions,
(with M. I. M. Ishak, C. Pinner, and B. Wiles),
J. Number Theory 130 (2010), no. 6, 14081424.
 Wieferich pairs and
Barker sequences, Des. Codes Cryptogr., 53 (2009),
no. 3, 149163.
(The original publication is available at
www.springerlink.com.)
Some data
associated with this research are also available.
 Lower bounds for Znumbers
(with A. Dubickas), Math. Comp., 78 (2009), no. 267, 18371851.
Information on published papers, and some more reprints, are available on my
vita.
Upcoming Conferences
You can find me at the following upcoming meetings and conferences.
 Palmetto
Number Theory Series (PANTS) XXIII, University of South Carolina,
Columbia, December 67, 2014 (tentative attendance).
 Joint Mathematics
Meetings, San Antonio, Texas, January 1013, 2015.
 AMS
Spring Southeastern Section Meeting, University of Alabama,
Huntsville, March 2729, 2015.
 The
Geometry, Algebra and Analysis of Algebraic Numbers, Banff
International Research Station, Alberta, October 59, 2015.
Michael Mossinghoff
mimossinghoff at davidson dot edu
Last modified November 20, 2014.