My primary research interest is noncommutative algebra. In particular, I study Hopf algebras and their representations. My dissertation work was classifying inner-faithful actions of some pointed Hopf algebras on group algebras, and their extensions to actions of their Drinfel’d doubles. I am also interested in connections between certain classes of Hopf algebras and topological invariants.
Publications & Preprints
- Actions of quantum linear spaces on quantum algebras, J. Algebra 556 (2020) 246-286. (joint with Jason Gaddis)
- On actions of Drinfel’d doubles on finite dimensional algebras, J. Pure Appl. Algebra 223, no. 8 (2019), pp.3635-3664.
- PBW deformations of quadratic monomial algebras, Comm. Algebra 47 (2019), no. 7, 2670-2688. (joint with Andrew Estornell, Chelsea Walton, and Matthew Wynne)