Co-discovered a new class of infinite dimensional Lie Algebras, which are now called Kac-Moody algebras
After completing his PhD, Dr. Moody joined the Department of Mathematics at the University of Saskatchewan as assistant professor in 1966 and was appointed full professor in 1977. In 1989, he became full professor at the University of Alberta.
Dr. Moody also held guest professorships at other universities in Canada and abroad. In 2001 – 2003, he served as Scientific Director of the Banff International Research Station. In addition, Dr. Moody supervised more than 20 theses, published 6 books and more than 70 articles.
Dr. Moody's research involves continuous symmetries and the theory of Lie groups. In 1968, his discovery, done independently but simultaneously with Russian mathematician Victor Kac, gave the name to the Kac-Moody algebras. Today, the Kac-Moody algebras have many applications in mathematics and mathematical physics.
Since the early 1990s Dr. Moody has also been interested in aperiodic order as it appears in quasi-crystals, which is an area of apllied mathematics used in X-ray crystallography, the analysis and study of crystals.
Sources:
CRM - University of Ottawa Distinguished Lecture Series
Pacific Institute for the Mathematical Sciences
Image: Robert V. Moody’s personal web page