Publications:

1. Beyond Pascal's Triangle, to appear.
2. A Collaborative Journey Using Children's Literature to Integrate Mathematics and English, with Jenn Bergner and Brandy Terrill published in PDS Partners: Bridging Research to Practice, Volume 16, Number 1, Spring 2021.
3. Teacher Training and Student Assessment: At Odds?, with Jennifer Bergner. Doceamus Column of the Notices of the American Mathematical Society. June/July 2013. pp763-764.
4. A Ring Construction Using Finite Directed Graphs. PRIMUS. Volume 22, Issue 5, 2012, pp. 428-436.
5. The Evolution of Finite 1-Dimensional Cellular Automata updated with k-Rules, with Joseph Seaborn III, and Aaron Churchill, and Philip Mummert. Journal of Cellular Automata. Volume 6, Number 6. 2011. p. 505-515.
6. Cellular Automata over Group Alphabets: Undergraduate Education and the PascGalois Project, with Donald Spickler. Journal of Cellular Automata, Volume 6, Number 2-3, pp. 215-230, 2011.
7. Binomial Coefficients Modulo a Prime - A Visualization Approach to Undergraduate Research, with Eirini Poimenidou. PRIMUS, 21(3), pp. 238-251, 2011.
8. A p-adic Approach to Binomial Identities, with Katelin Childers, Erin Craig, Israa Taha, and Eirini Poimenidou. The Pi Mu Epsilon Journal. Volume 13, Number 3. Fall 2010. pp. 133-142.
9. A Qualitative Approach to Assessing Technological Pedagogical Content Knowledge, with Randall Groth, Jennifer Bergner, and Donald Spickler. Contemporary Issues in Technology and Teacher Education, Volume 9, Issue 4, 2009.
10. PascGalois Abstract Algebra Classroom Resources, with Jennifer Bergner, Kathleen Shannon, Don Spickler, Tyler Evans. Loci: Resources, Digital Classroom Resources on MathDL website, July 2008.
11. PascGalois Number Theory Classroom Resources, with Michael Fisher, and Kurt Ludwick. Loci: Resources, Digital Classroom Resources on MathDL website, July 2008.
12. The PascGalois Summer Undergraduate Research Retreats, with Eirini Poimenidou, May/June issue of the MAA newsletter FOCUS, 2007.
13. The Evolution Homomorphism and Permutation Actions on Group Generated Cellular Automata, with Nicole Miller, Complex Systems, Volume 15, Issue 2, 2004.
14. Searching for Patterns in Pascal's Triangle With a Twist, with Kathleen Shannon. Journal of Online Mathematics and its Applications, Volume 3, November 2003.
15. The PascGalois Triangle: A Tool for Visualizing Abstract Algebra, with K.M. Shannon, MAA Notes: Innovations in Teaching Abstract Algebra , April 2002.
16. The PascGalois Project: Visualizing Abstract Algebra, with K.M. Shannon, March issue MAA newsletter FOCUS, 2002.
17. Lab Manual to Accompany the Standard Version of Starting Out with C++ (Third Edition by Tony Gaddis), joint with Dean DeFino. Scott Jones Publisher, 2001.
18. Lab Manual to Accompany the Alternate Version of Starting Out with C++ (Alternate Edition by Tony Gaddis), joint with Dean DeFino and Judy Walters. Scott Jones Publisher, 2001.
19. Non-Commutative Groebner Bases and Hochschild Cohomology, Contemporary Mathematics, Volume 286, Symbolic Computation: Solving Equations is Algebra, Geometry, and Engineering, 2001; pp. 227-240.
20. H1(A) and Presentations of Finite Dimensional Algebras, with E.N. Marcos, Representations of Algebras, Lecture Notes in Pure and Applied Mathematics, volume 224, Marcel Dekker, Inc. pp. 31 - 38, 2001.
21. Can We Learn Calculus From A Jerk?, with Paula Kenyon, PRIMUS, Volume XI Number 2, pp. 97-110, June 2001.
22. On the Hochschild Cohomology of Truncated Cycle Algebras, with A.C. Locateli and E.N. Marcos, Communications in Algebra, 28(3), 1615-1639, 2000.
23. An Invariant Characterization of Monomial Algebras, with E.L. Green, Communications in Algebra, 27(5), 2331-2344, 1999.
24. Induced Boundary Maps for the Cohomology of Monomial and Auslander Algebras, with E.N. Marcos, Canadian Mathematical Society Conference Proceedings, Volume 24, 1998.
25. The Alternating Syzygy Behavior of Monomial Algebras, Journal of Algebra 188, 69-89 (1997).
26. Resolutions and Cohomology of Finite Dimensional Algebras, Ph.D. Thesis, Virginia Tech 1996.