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Michael J. Mossinghoff |
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| Department of Mathematics |
Office: Chambers 3039 |
| Davidson College |
Office hours: MTWThF 3-4 |
| 209 Ridge Road, Box 6996 |
Phone: 704-894-2238 |
| Davidson, NC 28035-6996 |
Fax: 704-894-2005 |
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My vita is available.
You can view my academic family tree.
Teaching
Spring 2008 courses:
- Math 130, Calculus I, sections A and B.
- Computer Science 231, Data Structures.
Research
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 convex 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 Lehmer's
problem concerning Mahler's measure of polynomials with integer coefficients.
Selected Publications
Preprints and Recent Reprints of Research Papers (PDF)
- Lower bounds for Z-numbers
(with A. Dubickas), submitted for publication.
- Minimal Mahler measures
(with G. Rhin and Q. Wu), Experiment. Math., to appear.
- 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, Tapas in Experimental Mathematics, T. Amdeberhan
and V. 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.
- Irreducible polynomials and Barker
sequences (with P. Borwein and E. Kaltofen),
ACM Commun. Computer Algebra 41 (2007), no. 4, 118-121.
- Lehmer's problem for polynomials
with odd coefficients (with P. Borwein and E. Dobrowolski), Ann.
of Math. (2) 166 (2007), no. 2, 347-366.
- Generalizations of Gonçalves'
inequality (with P. Borwein and J. D. Vaaler), Proc. Amer. Math.
Soc.135 (2007), 253-261.
- Isodiametric problems for polygons,
Discrete Comput. Geom. 36 (2006), no. 2, 363-379. (The original publication
is available at www.springerlink.com.)
- A $1 problem,
Amer. Math. Monthly 113 (2006), no. 5, 385-402.
- Traceability in small claw-free
graphs (with J. M. Harris), Util. Math. 70 (2006), 263-271.
- Auxiliary polynomials for some problems
regarding Mahler's measure (with A. Dubickas), Acta Arith. 119
(2005), 65-79.
- Small limit points of Mahler's
measure (with D. W. Boyd), Experiment. Math. 14 (2005),
403-413.
-
The Mahler measure of polynomials with odd coefficients (with
P. Borwein and K. G. Hare), Bull. London Math. Soc. 36 (2004) 332-338.
Information on published papers, and some more reprints, are available on my
vita.
Books
- I have written a textbook, Combinatorics and Graph Theory,
with John Harris and Jeffry
Hirst. It is published by Springer-Verlag, in their series, "Undergraduate
Texts in Mathematics." You can view the table of contents
(PDF format), the
publisher's information on the text, and a brief review at Zentralblatt für
Mathematik.
- A second edition of this text is in press and will appear probably in late
2008.
- I am co-author of the Maple V Quick Reference (Brooks/Cole,
1994), with Nancy Blachman.
Upcoming Conferences
You can find me at the following upcoming meetings and conferences.
- AMS Spring Western
Section Meeting, in the Special
Session on Diophantine Problems and Discrete Geometry, Claremont McKenna
College, Claremont, California, May 3-4, 2008.
- The Mathematical Interests
of Peter Borwein, Simon Fraser University, Burnaby, B.C., Canada, May
12-16, 2008.
- The Tenth
Meeting of the Canadian Number Theory Association, University of Waterloo, Ontario,
July 13-18, 2008.
Michael Mossinghoff
mimossinghoff at davidson dot edu
Last modified April 22, 2008.