Associative algebra, Lie algebra, and group theory; the relationship between identities, gradings, and actions.
The specific branch of Noncommutative Algebra that I study is sometimes called Combinatorial Algebra. The term derives from its ancestor, Combinatorial Group Theory, which traditionally focuses on such topics as groups presented by generators and relators, growth in groups, the Burnside Problem, as well as computational and algorithmic problems. Similar problems are now studied for infinite-dimensional associative algebras, Lie algebras, and Jordan algebras.
I served as Department Chair during the period 2006-2011 and was appointed Faculty Scholar in 2010.
Before joining Western University in 1999, I held various positions at the University of Alabama, the University of Alberta, the University of Oxford, and the Università degli Studi di Palermo. I have also made extended research visits to the University of Auckland, the Vrije Universiteit Brussel, Lunds Universitet, the University of New Brunswick, and the Università di Milano-Bicocca.