Research Interests
My research is divided into three main areas:
- Algebraic Groups and Invariant Theory
- Galois Geometries and Combinatorics
- Non-Deterministic Computing
My scientific interests:
- Equidimensionality, coregularity, and cofreeness of group representations; The Popov (or Russian) conjecture
- Constructive Invariant Theory
- The Dixmier conjecture for irreducible representations of SL(2,C)
- Invariants of Modular Representations of Finite Groups
- Caps and Maximal line free subsets of projective spaces
- Steiner triple systems and colouring problems
- Cook's Theorem and Non-Deterministic Computers
I work with some very smart people. The ones I work with on a daily basis include Aiden Bruen, Eddy Campbell, Lucien Haddad, Ian Hughes and Jim Shank.
Short Biography
Current Academic Activities
- I am member of the Canadian Mathematical Society and the American Mathematical Society
- I was elected to the Board of Directors of the Canadian Mathematical Society in 1999. My term will end in June 2003.
Positions:
- Professor of the Department of Mathematics and Computer Science, Royal Military College of Canada
- Professor (Cross-Appointment) of the Department of Mathematics and Statistics, Queen's University
Selected Publications
Publications available on Google Scholar