Alexander has supervised 9 PhD students and 2 MSc students. Four of his former students are active researchers in the area of Lie Theory and Representation Theory.
Alexander welcomes enquiries from prospective PhD and MSc students. Possible topics of research include:
- Primitive ideals of universal enveloping algebras and finite W-algebras.
- Invariant theory of linear algebraic groups.
- Representation theory of reductive groups and modular Lie algebras.
- Classification theory of simple Lie algebras over fields of positive characteristic.