Elizabeth A. Arnold


Department of Mathematics and Statistics
MSC 1911
James Madison University

Harrisonburg,VA 22807

    E-mail: arnoldea - at -jmu-dot-edu

Office hours: Spring 2024

Math 430: MW 12:30pm-1:30pm, F 10:30-11:30, and by appointment in person or on Zoom


Spring 2024

MATH 430 Abstract Algebra I, MWF  11:30-12:20 pm Burr 034

Previous Courses Taught

MATH 514, Modern Algebra, Online 

MATH 520, Modern Geometry, Online 

MATH 245 Intro to Proof/Discrete Math
Math 300, Linear Algebra                                        MATH 236, Calculus II
MATH 475
Fundamental Concepts of Geometry

MATH 433E, Survey of Algebra       

MATH 207 Fundamentals of Mathematics III

MATH 434, Advanced Linear Algebra

MATH 107Fundamentals of Mathematics I

MATH 108Fundamentals of Mathematics II
MATH 431Abstract Algebra II
MATH 430 Abstract Algebra I Math 238, Linear Algebra and Differential Equations

MATH 235, Calculus I
MATH 108, Fundamentals of Mathematics II
MATH 501
  • Syllabus
  • MATH 305, Principles of Geometry
  • Syllabus

  • Conferences

    Expanding Your Horizons
    Saturday, March 21, 2020
    James Madison 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.    ArXiv

    "Nest graphs and minimal complete symmetry groups for magic Sudoku variants", with R. Field, J. Lorch, S. Lucas, and L. Taalman.  Rocky Mountain Journal of Mathematics, Volume 45, (3) (2015), 887-901.

    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, (2012).  (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. 

    "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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