Dr. Dunham’s research interests include topological graph theory, computational problems in discrete mathematics, and recreational mathematics. Specific projects include finding the maximum touching number for coin graphs, enumerating solutions to paper-folding problems, and applying graph theory to structures in commutative algebra.
Another area of research is pedagogy, including tactile learning and assessment of course effectiveness.
Mayfield, Betty and Dunham, Jill B. (2015) "Adapting to a New Core Curriculum at Hood College: From Computation to Quantitative Literacy," Numeracy: Vol. 8: Iss. 2, Article 8.
Available at: http://scholarcommons.usf.edu/numeracy/vol8/iss2/art8
Jill Bigley Dunham, "Designing Round-Robin Tournaments using Yarn" and "Proper Edge Colorings and Disjoint Hamiltonian Cycles of K_n using Yarn" in Tactile Learning Activities in Undergraduate Mathematics: A Recipe Book for the Classroom, The Mathematical Association of America, to appear.
Geir Agnarsson and Jill Bigley Dunham, On rational radii coin representations of the wheel graph, Discuss. Math. GAA 33 (2) 2013, 167-199