He is currently employed as a Professor of Pure Mathematics at the University of Auckland in New Zealand.
[2] He is the PhD students' Adviser for the Department of Mathematics and is the head of the Analysis, Geometry and Topology Research Group at the University of Auckland.
[4] His current main research areas are He has published work on a range of topics including integral transforms and their applications to representation theory and quantum groups.
His main area of specialisation is the class of parabolic differential geometries.
Tractor calculus is important for treating geometries in this class, and a current theme of his work is the further development of this calculus, its relationship to other geometric constructions and tools, as well as its applications to the construction and understanding of local and global geometric invariants and natural differential equations.