Eggleton and Galvin created new mathematics in order to recontextualize an introductory mathematical argument within the field of numbers theory. Reviewers of the article praised the authors’ abilities to “masterfully tell a wonderful story of mathematics that is both old and new. They give elegant solutions to the original problem.”  Eggleton’s research in graph theory and number theory is internationally recognized and cited. “When I’m pursuing a mathematical idea into unknown territory, I’m fascinated by the way things unfold,” Eggleton said. “Part of the time I feel as though I’m inventing or creating new ideas, part of the time I feel as though I’m discovering beautiful things which have always been there, but I happen to be the first one to explore that place and see what’s there.”

Roger B. Eggleton earned his Ph.D. in 1973 from the University of Calgary. He received his MA. and B.Sc. from the University of Melbourne, Australia. Dr. Eggleton’s research interests include combinatorics, graph theory, and number theory. His work in graph theory, in particular, is internationally recognized.  His research and teaching career spans universities in five countries: Australia, Brunei, Canada, Israel, and the United States.