Jason Gaddis

Jason Gaddis is an Associate Professor of Mathematics at Miami University. His research focuses on noncommutative algebra, invariant theory, and representation theory, with particular emphasis on interactions with Hopf algebras, quantum groups, and Poisson algebras. He holds a Ph.D. in Mathematics from the University of Wisconsin-Milwaukee.

• Education: Ph.D., Mathematics, University of Wisconsin-Milwaukee (2013)

Research interests include noncommutative algebraic geometry, quantum matrix algebras, and the study of symmetry in noncommutative settings. His work explores fixed rings under Hopf algebra actions, graded Calabi-Yau algebras, and invariant theory for generalized Weyl algebras.

Recent publications include studies on ozone groups of Artin-Schelter regular algebras, Hopf actions on Poisson algebras, and twisted generalized Weyl algebras. His research often bridges abstract algebraic structures with geometric and representation-theoretic perspectives.

He has advised multiple graduate students on projects involving quiver representations, preprojective algebras, and quantum matrix algebras. Collaborative work includes studies on reflection groups, Poisson algebra cancellations, and Taft algebra actions.