I am an Associate Professor in the Mathematics Department at Humboldt State University . My research interests are noncommutative algebras arising in noncommutative algebraic geometry, topology and physics. Andrew Conner and I have recently studied the Koszul property for cohomology algebras of analogues of the pure braid group. I am also currently interested in graded Hopf algebras, and Nichols algebras. On my last sabbatical (Fall 2012), I worked with the algebra group at Wake Forest University on maximal Cohen-Macaulay modules and Calabi-Yau algebras. Currently (Spring 2017), I am studying the cohomology of graded algebras which can be realized as twisted tensor products.
In the lower division I usually teach courses in calculus and linear algebra. In the upper division, I teach abstract algebra and number theory. I also like to run seminar courses for advanced mathematics students. Some of the most recent topics have included: p-adic Numbers, matrix Lie groups, Groebner bases, Lie algebras, algebraic geometry, algebraic number theory, algebraic topology, and representation theory of finite groups.