(on leave 2011-2012) Chris has taught much of the mathematics curriculum – Calculus I and II, Linear Algebra, Differential Equations, Combinatorics, Algebra, Analysis, Complex Analysis, Topology, and two senior seminars, one on Gauge Field Theory, and one on Lie Algebras.
Chris's primary scholarly work to date has focused on studying splittings of the zeroth space of the equivariant sphere spectrum in which one factor captures the homotopical information contained in the image of the equivariant J-homomorphism. Chris is the world's leading expert on this subject.
While his interest in algebraic topology and homotopy theory will never die, he also enjoys exploring other more accessible areas – he has published work concerning Fibonacci numbers, as well as articles about the Hankel transform. Recently, he has become interested in Association Schemes, a generalization of groups.