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 2017

Math 245 MWF 11:10am-12:30pm and by appointment


Spring 2017

MATH 245 Intro to Proof/Discrete Math, MWF 9:05-9:55, 10:10-11:00 Burruss 032.
Previous Courses Taught

MATH 236, Calculus II, Section 001 MWF 9:05-9:55am, Burruss 126, Tu 9:30-10:45am Roop 327
                                            Section 002 MWF 10:10-11:00am, Burruss 126, Tu 11:00-12:15pm Roop 327

MATH 433E, Survey of Algebra, MWF 1:25-2:15, Roop 202       

MATH 245 Intro to Proof/Discrete Math, MWF 9:05-9:55 Roop 105. MATH 207 Fundamentals of Mathematics III

MATH 434, Advanced Linear Algebra, MWF 9:05-9:55am, Roop 105.

MATH 475 Fundamental Concepts of Geometry, MWF 1:25-2:15pm, Burruss 141.

MATH 245Intro to Proof/Discrete Math MATH 107Fundamentals of Mathematics I

MATH 520, Geometry for Teachers, Online Course.
MATH 108Fundamentals of Mathematics II
MATH 431Abstract Algebra II
MATH 430Abstract Algebra I Math 238, Linear Algebra and Differential Equations

MATH 475, Fundamental Concepts of Geometry

MATH 207Problem Solving,        
MATH 236, Calculus II
MATH 235, Calculus I
MATH 520, Geometry for High School Teachers
MATH 108, Fundamentals of Mathematics II
MATH 501
  • Syllabus
  • MATH 305, Principles of Geometry
  • Syllabus

  • Conferences

    Expanding Your Horizons
    Saturday, March 22, 2014
    James Madison University
    Invited Speakers: Dr. Melyni Worth, PhD and Dr. Caroline Lubert, PhD

    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.

    My Curriculum Vitae   PDF 



    "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. To Appear 2014. Rocky Mountain Journal of Mathematics.  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. Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 87, (2013), 209228..  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


    "BooleanGB" with F. Hinkelmann and M. Stillman.  Software in Macaulay2 for computing Groebner bases in Boolean rings.

    Professional activity

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