Elizabeth A. Arnold
Associate
Professor
Department of
Mathematics and Statistics
MSC 1911
James Madison University
Harrisonburg,
VA 22807
E-mail: arnoldea - at
-jmu-dot-edu
Office hours: Spring 2013
MWF 9:00am-10:00am (Math 434) 11:10-12:10 (Math 107) and by appointment
Teaching
Spring
2013
MATH 107, Fundamentals
of Mathematics,
MWF
12:20-1:10, Burruss 126.
MATH 434,
Advanced
Linear Algebra,
MWF 10:10-11:00am, Roop G010.
Previous
Courses Taught
MATH
207,Problem
Solving,
MWF
10:10-11:00, 12:20-1:10pm, Burruss 141.
MATH 475,
Fundamental
Concepts of
Geometry, MWF 1:25-2:15pm, Burruss 141.
MATH
245, Intro
to Proof/Discrete Math
MATH
107, Fundamentals
of Mathematics I
MATH 520, Geometry for
Teachers,Online Course.
MATH
108, Fundamentals
of Mathematics II
MATH
431, Abstract
Algebra
II
MATH 430, Abstract
Algebra
I
Math
238, Linear
Algebra and Differential Equations
MATH 475,
Fundamental
Concepts of
Geometry
MATH
207, Problem
Solving,
MATH 236,
Calculus
II
MATH 235,
Calculus
I
MATH 520,
Geometry
for High School
Teachers
MATH 108,
Fundamentals
of Mathematics II
MATH
501
MATH
305,
Principles
of Geometry
Conferences
Expanding
Your Horizons
Saturday, March 16, 2013
James Madison University
Invited Speaker: Dr. Crystal Brogan, NRAO/UVA
Applications
of Groebner Bases
July 27-30, 2008
ACA
2008, RISC-Linz, Castle of Hagenberg, Austria
Mid-Atlantic
Algebra Conference
April 29-30, 2006
James Madison University
Principal Speaker: J. Maurice Rojas, Texas A&M University
Research
interests
My
current research interests are Groebner Bases and algorithms.
I'm also interested in the mathematics behind Sudoku.
The
Algebra
and
Combinatorics Research Group at
Texas A & M
University.
My
Curriculum
Vitae PDF
Version, (should be up to date).
Links
Publications
"Fast
Groebner Basis Computation for Boolean Polynomials", with
F. Hinkelmann. Submitted. PDF
"Nest graphs and minimal complete symmetry groups for magic Sudoku
variants", with R. Field, J. Lorch, S. Lucas, and L. Taalman.
Submitted. PDF
Chapman, Harrison and Rupert, Malcolm E. (2012) "A Group-theoretic
Approach to Human Solving Strategies in Sudoku," Colonial
Academic Alliance Undergraduate Research Journal: Vol. 3, Article 3.
(Undergraduate Summer REU students) PDF
"Minimal Complete Shidoku Symmetry Groups", with R. Field, S. Lucas and
L. Taalman. To appear, Journal of Combinatorial Mathematics
and Combinatorial Computing,
2012. PDF
.
"Groebner
Basis Representation of Sudoku", with L.
Taalman and
S. Lucas. College
Mathematics Journal, March
2010,
Volume 41, (1), p. 101-111. PDF
"Modular
Algorithms for Computing Groebner Bases",
Journal of
Symbolic Computation , April 2003, Volume 35, (4), p. 403-419. PDF
Software
"BooleanGB"
with F. Hinkelmann and M. Stillman. Software in Macaulay2
for computing Groebner
bases in Boolean rings.
Professional
activity
Other
Stuff
Sarah
Michelle
Horses
Why
Men Shouldn't Babysit