Michael J. Mossinghoff
|Department of Mathematics and Computer Science
||Office: Chambers 3039
||Office hours: M 3:00-3:45, TWTh 3:00-4:00
|Davidson, NC 28035-6996
My vita is available, and so are
titles and abstracts of many mathematical talks
You can view my academic family tree.
- Spring 2014: Math 150, Linear Algebra.
- Spring 2014: Math 360, Topology.
- During the summer of 2014, I will co-host the
Summer@ICERM program on
Polygons and Polynomials at the
Institute for Computational and
Experimental Research in Mathematics (ICERM) at Brown University,
Robins of Nanyang Technological University.
- The Palmetto Number Theory Series
(PANTS) XX conference on number theory was held at Davidson College on
September 7-8, 2013.
- I am an associate editor of
Mathematics of Computation.
- My research interests lie in number theory, including analytic,
computational, combinatorial, and transcendental aspects. I am particularly
interested in extremal problems concerning integer polynomials, especially
problems dealing with Mahler's measure of a polynomial, and problems
regarding factors of polynomials with restricted coefficients.
I am also interested in some problems in discrete geometry.
- 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 (Springer-Verlag, 2002).
- I maintain a site on
concerning Mahler's measure of polynomials with integer coefficients.
- I also maintain a site on
Barker sequences, and circulant Hadamard matrices.
- 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 co-author of the Maple V Quick Reference (Brooks/Cole,
1994), with Nancy Blachman.
Preprints and Recent Reprints of Research Papers (PDF)
- Wieferich pairs and
Barker sequences, II, LMS J. Comput. Math., to
appear. (The final published version will differ slightly from this
posted version.) Some
with this research are also available.
- Negative Pisot
and Salem numbers as roots of Newman polynomials (with
K. Hare), Rocky Mountain J. Math., to appear.
the problems of Pólya and Turán (with T.
Trudgian), J. Aust. Math. Soc. 93 (2013), no. 1-2, 157-171.
- Sporadic Reinhardt
polygons (with K. Hare), Discrete Comput. Geom. 49
(2013), no. 3, 540-557. (The original publication is available at
distance to an irreducible polynomial, II (with
M. Filaseta), Math. Comp. 81 (2012), no. 279, 1571-1585.
- Average Mahler's
measure and Lp norms of unimodular polynomials
(with K.-K. S. Choi), Pacific J. Math. 252 (2011), no. 1,
- Enumerating isodiametric and
isoperimetric polygons, J. Combin. Theory Ser. A
118 (2011), no. 6, 1801-1815.
- 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, 369-381.
- Lower bounds for
heights in cyclotomic extensions,
(with M. I. M. Ishak, C. Pinner, and B. Wiles),
J. Number Theory 130 (2010), no. 6, 1408-1424.
- Wieferich pairs and
Barker sequences, Des. Codes Cryptogr., 53 (2009),
no. 3, 149-163.
(The original publication is available at
associated with this research are also available.
- Lower bounds for Z-numbers
(with A. Dubickas), Math. Comp., 78 (2009), no. 267, 1837-1851.
- Minimal Mahler measures
(with G. Rhin and Q. Wu), Experiment. Math., 17 (2008), no. 4,
- Sign changes in sums of the Liouville
function (with P. Borwein and R. Ferguson), Math. Comp. 77 (2008),
no. 263, 1681-1694.
- An isodiametric problem for equilateral
polygons, in Tapas in Experimental Mathematics,
T. Amdeberhan and V. H. Moll, eds., Contemp. Math. 457, Amer.
Math. Soc., 2008, pp. 237-252.
- Barker sequences and flat
polynomials (with P. Borwein), Number Theory and Polynomials
(Bristol, U.K., 2006), J. McKee and C. Smyth, eds., London Math. Soc. Lecture
Note Ser. 352, Cambridge Univ. Press, 2008.
- Slices, slabs, and sections of the
unit hypercube (with J.-L. Marichal), Online
Journal of Analytic Combinatorics 3 (2008), #1, 11 pp.
Information on published papers, and some more reprints, are available on my
You can find me at the following upcoming meetings and conferences.
Regional Meeting on Numbers (SERMON), Wofford College, Spartanburg,
South Carolina, April 26-27, 2014.
- Polygons and
Polynomials, the Summer@ICERM 2014 research program for
undergraduates, held at the Institute
for Computational and Experimental Research in Mathematics (ICERM),
Brown University, Providence, Rhode Island, June 16 - August 8, 2014.
mimossinghoff at davidson dot edu
Last modified April 14, 2014.