# Research

**Research Papers:**

Partitions of *AG*(4,3) into Maximal Caps (with Michael Follett, Kyle Kalail*, Catherine Pelland and Robert Won), *Discrete Mathematics* 337, December 2014, pp. 1-8.

Hands On SET® (with Hannah Gordon and Rebecca Gordon), *PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies*, 23:7, July 2013, pp. 646-658.

Moving Faces to Other Places: Facet Derangements (with Gary Gordon), American Mathematical Monthly, 117, No. 10, December 2010, pp. 865-880.

Color-permuting Automorphisms of Cayley Graphs (with Melanie Albert, Jenna Bratz, Patricia Cahn, Timothy Fargus, Nicholas Haber, Jaren Smith, Sarah Tekansik), Congressus Numerantium 190, November 2008, pp. 161-171.

Chordal graphs and the characteristic polynomial (with Beth A. Shimkus and Jessica A. Wolfson) Discrete Mathematics 262, no. 1-3 (2003), pp. 211-219.

A characteristic polynomial for rooted graphs and rooted digraphs (with Gary Gordon), Discrete Mathematics 232 (2001), pp. 19-33.

Convexity and the beta invariant (with Christina Ahrens and Gary Gordon), Discrete and Computational Geometry 22 (1999), pp. 411-424.

Interval partitions and activities for the greedoid Tutte polynomial (with Gary Gordon), Advances in Applied Mathematics 18 (1997), pp. 33-49.

“A greedoid characteristic polynomial” (with Gary Gordon), in *Matroid Theory*, J. Bonin, J. Oxley and B. Servatius, eds., Contemporary Mathematics 197 (1996), pp. 343-351.

On the greedoid polynomial for rooted graphs and rooted digraphs, Journal of Graph Theory 17 no. 3 (1993), pp. 433-442.

A greedoid polynomial which distinguishes rooted arborescences (with Gary Gordon), Proceedings of the AMS, 107 no.2 (Oct. 1989), pp.287-298.

“On strong and H-separability in ordinary and skew group rings” (with Jay Shapiro), Houston Journal of Mathematics 15 no.3 (1989), pp.395-408.

Separable extensions of non-commutative rings (with Ancel C. Mewborn), Hokkaido Mathematical Journal XIII no. 1 (Feb. 1984), pp. 74-88.

**Miscellaneous:**

Jordan Awan’s CapBuilder, made during Lafayette’s 2013 REU

“The End Game SET®,” (with Gary Gordon), The SET® website, (under Other ways to play SET®) posted in 2007.

Mathematical Enquirer, (with Gary Gordon, D. Kalman, R. Nelson and B. Reznick), Math Horizons 14 (April 2007), pp. 17-20.

1000 Years of Math Bowl at Lafayette College (with Gary Gordon), Math Horizons, 13 (November 2005), pp. 10-11.

Orthogonal Latin Garage Doors (with Gary Gordon), FOCUS 21, No. 6 (August-September

2001), pp. 4-5 and the cover.

**Books:**

*The Joy of SET: The Many Mathematical Dimensions of a Seemingly Simple Game* (with Gary Gordon, Hannah Gordon and Rebecca Gordon), Princeton University Press, Princeton NJ, November, 2016.

*Teaching the Isms: Feminist Pedagogy across the Disciplines* (with Deborah Byrd, Elisha Nixon, Mary Beckman, Beth Seetch and Andrea Smith), ITROW, November, 2009.

*Complete Solutions Manual for Calculus by James F. Hurley*, Vol.1 and *Student Solutions
Manual for Calculus by James F. Hurley*, Vol.2 (with Gary Gordon), Wadsworth Publishing Company, Belmont, CA, 1988.