Professor
Department
of Mathematics and Statistics
MSC 1911
James Madison University
Harrisonburg,VA 22807
E-mail: arnoldea - at
-jmu-dot-edu
Office hours: Fall 2022
Math 235: MTh 12:30pm-1:30pm, F 9-10am, and by appointment
in person or on Zoom
Math 514: W 7-8pmEST via Zoom
Teaching
Fall
2022
MATH 235 Calculus I, Section
004 MWF 10:20-11:10 am Burr 0126
Th 9:35-10:50 am Burr 126
Section 007 MWF
11:30-12:20pm Burr 126
Th 11:10am-12:25pm Burr 126
MATH 514, Modern
Algebra,
Online
Previous Courses Taught
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 108,
Fundamentals of Mathematics II
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
Other Stuff
Sarah
Michelle
Horses
Why Men Shouldn't
Babysit