Professor

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

Teaching

Spring 2024

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

Syllabus

LaTeX Setup and Tutorial

Sample LaTeX document and LaTeX Source File for that document. You will need to save the Source file then open it using a Latex text editor. You can view the PDF file by clicking on it. Use the source file to find the commands that produce the desired outcome in the PDF!

Your first assignment: Reproduce This Document in LaTeX.

Previous Courses Taught

MATH 514, Modern Algebra, Online

Syllabus

MATH 520, Modern Geometry, Online

Syllabus
Geometry Software - You will need to install this software on a computer that you can use on a daily basis.
LaTeX Setup and Tutorial
First Assignment: Reproduce This Document in LaTeX
Sample LaTeX document (PDF) and LaTeX Source File (You will need to open this in a LaTeX editor) for that document

MATH 245 Intro to Proof/Discrete Math

Syllabus
LaTeX Setup and Tutorial
First Assignment: Reproduce This Document in LaTeX
Sample LaTeX Source File and Sample LaTeX PDF File for that document. You will need to save the Source file then open it using a Latex text editor. You can view the PDF file by clicking on it. Use the source file to find the commands that produce the desired outcome in the PDF! There are more instructions in the source file.

Math 300, Linear Algebra

Syllabus

MATH 236, Calculus II

Syllabus

MATH 475 Fundamental Concepts of Geometry

Syllabus
Geometry Software - You will need to install this software on a computer that you can use on a daily basis.
LaTeX Setup and Tutorial
First Assignment: Reproduce This Document in LaTeX
Sample LaTeX document (PDF) and LaTeX Source File (you will need to open this in the LaTeX editor) for that document.

MATH 433E, Survey of Algebra

Syllabus
LaTeX Setup and Tutorial
Sample LaTeX document and LaTeX Source File for that document. You will need to save the Source file then open it using a Latex text editor. You can view the PDF file by clicking on it. Use the source file to find the commands that produce the desired outcome in the PDF!
Your first assignment: Reproduce This Document in LaTeX.

MATH 207 Fundamentals of Mathematics III.

Syllabus

MATH 434, Advanced Linear Algebra

Syllabus
LaTeX Setup and Tutorial
Sample LaTeX document and LaTeX Source File for that document. You will need to save the Source file then open it using a Latex text editor. You can view the PDF file by clicking on it. Use the source file to find the commands that produce the desired outcome in the PDF! Your first assignment: Reproduce This Document in LaTeX.

MATH 107Fundamentals of Mathematics I

Syllabus

MATH 108Fundamentals of Mathematics II

Syllabus

MATH 431Abstract Algebra II

Syllabus

MATH 430 Abstract Algebra I

Syllabus
LaTeX Setup and Tutorial
First Assignment: Reproduce This Document in LaTeX
Sample LaTeX Source File and Sample LaTeX PDF File for that document. You will need to save the Source file then open it using a Latex text editor. You can view the PDF file by clicking on it. Use the source file to find the commands that produce the desired outcome in the PDF!

Math 238, Linear Algebra and Differential Equations

Syllabus

MATH 235, Calculus I

Syllabus

MATH 108, Fundamentals of Mathematics II

Syllabus

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

Links

Publications

"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), 209–228.

"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

Member of the American Mathematical Society(AMS)

Member of the Mathematical Association of America(MAA)

Member of the Association for Women in Mathematics(AWM)

Other Stuff

Trace your mathematical roots! Take a look at the Mathematics Genealogy Project website.

Sarah Michelle

Horses

Why Men Shouldn't Babysit

Elizabeth A. Arnold