Topological graph theory and graph (multi)colorings.
Sample Research Papers:
- On the zeros of some genus polynomials, Canad. J. Math., 49 (1997), 617-640.
- The multichromatic number of some Kneser graphs, Disc. Math. 185 (1998) 287-291.
- Note on the nth chromatic numbers of the Grotzsch graph, J. Graph Theory, 20 (1996) 207-209.
I am working on creating alternative curricula for standard post calculus mathematics courses. I try to make the subject matter more interesting by providing it with a focus and using the historical evolution of the subject matter as a guide.
(2nd edition 2008 has the reverse title : “A Gateway to Modern Geometry, the Poincaré Half-Plane.”)
This is a geometry text for prospective high school teachers. It is based on Euclid's The Elements but contains plenty of exercises as well as some additional topics.
This is meant to be used on the senior/first year graduate level.
Mathematics for liberal arts majors. 2nd edition, Dover, under the title Mathematics Old and New. 2017. Work in progress