The mathematics faculty are active scholars and teachers. Their research and teaching interests include: logic; mathematical modelling; field independence/dependence; knot theory; mathematics education; lattice theory; topology; graph theory; and group theory.
Bedient earned his doctorate from the University of Michigan. His research and teaching interests are low dimensional topology, knot theory, fractal geometry and chaos theory.
Boutin's mathematical interests include graph theory, geometric graph theory and group theory. In particular, she works with graphs, their drawings, and their symmetry groups.
Her recent papers include "Geometric Graph Homomorphisms" with Sally Cockburn in the Journal of Graph Theory (forthcoming), "Thickness and Chromatic Number of r-Inflated Graphs" with Michael O. Albertson and Ellen Gethner in Discrete Math (forthcoming), and "Determining sets, resolving sets, and the exchange property" in Graphs and Combinatorics 2009.More about Debra Boutin >>
Cockburn has published papers in combinatorial optimization ("On the domino-parity inequalities for the STSP", with Sylvia Boyd and Danielle Vella, in Mathematical Programming Series A 2006) and geometric graph theory ("Geometric Graph Homomorphims", with Debra Boutin, in the Journal of Graph Theory, forthcoming).
Among her teaching interests are set theory and the philosophical foundations of mathematics.More about Sally Cockburn >>
Before joining the Hamilton faculty, Dykstra spent two years as the Yates Postdoctoral Fellow at Colorado State University.
Dykstra's research is in dynamical systems. He is especially interested in symbolic dynamics and ergodic theory.
A Connecticut native, Gibbons graduated summa cum laude with a B.A. in mathematics from Colorado College (2006).
Gibbons' work appears in the Journal of Pure and Applied Algebra, and, soon, in the Journal of Commutative Algebra. She also codes for Macaulay 2, an open-source algebra software package.
Gibbons plans to include Hamilton students in her research agenda and to design algebra electives that blend classical theory and modern applications.
His research is in analysis, with particular focus on Banach algebras, automatic continuity, and operator theory, and his teaching interests include analysis, linear algebra, and calculus.
Kantrowitz's latest article, "Series that converge absolutely but don't converge," appeared in The College Mathematics Journal. His other recent work has focused on modeling projectile motion and on stochastic matrices. The article "Optimization of projectile motion in three dimensions" appeared in Canadian Applied Mathematics Quarterly, and "A fixed point approach to the steady state for stochastic matrices" is slated to appear in a forthcoming issue of Rocky Mountain Journal of Mathematics.
Kuruwita earned a master's degree and Ph.D in mathematical sciences with a concentration in statistics from Clemson University. His research is focused on new regression models. During his stay in the U.S. he was involved in developing a new modeling strategy to assess suicidal risk of adolescents in the U.S. that was published in Journal of Adolescent Health (2009).
Redfield's recent work has focused on functions on lattice-ordered rings and vector lattices. In March 2004, Redfield spoke on "Positive Derivations on archimedean lattice-ordered rings" at the Conference on Lattice-Ordered Groups and f-Rings at the University of Florida. In July 2004, he spoke on "Order bases in lattice-ordered algebraic structures" at the University of Mississippi and on "Wilson bases" at the University of Houston - Clear Lake. His latest paper, "Fields of quotients of lattice-ordered domains," written with Jingjing Ma, will be appearing soon in Algebra Universalis.