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 431Abstract 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