William J. Keith

William J. Keith is an Associate Professor in the Department of Mathematics at Michigan Tech University. He specializes in combinatorics with a focus on partition theory, q-series, and identities. His teaching includes courses like Introduction to Linear Algebra and Combinatorics and Graph Theory, though he is currently on sabbatical for Spring 2025.

• Office hours: Monday/Wednesday 3-4pm (Fisher 314) or via Zoom

Research interests center on partition theory, including Schmidt-type theorems, unimodality of major index distributions, and congruences for regular partitions. His work frequently bridges combinatorics with algebraic structures and modular forms.

Recent publications highlight his contributions to generalized partition bijections, q-series identities, and graph-theoretic extensions. He is actively involved in mentoring graduate students, including current doctoral advisees Hunter Waldron and Philip Cuthbertson, and has previously supervised master's theses by J. T. Davies and Emily Anible.

Keith coordinates the Partitions Seminar (active since 2021) and serves on the Undergraduate Committee, while also acting as an alternate faculty Senator for the Math Department. He emphasizes collaboration, particularly in exploring open problems like refining Stanley's formula and studying overpartition analogues of Gaussian coefficients.