He transferred to McGill University in 1965 where he went on to earn a Bachelor of Music (1967), a Concert Diploma (1968), and a Master of Music (1970).
At McGill he studied music composition with István Anhalt through a grant from the Woodrow Wilson National Fellowship Foundation.
He also studying conducting with Pierre Boulez in Basel in 1969.In 1970, Hawkins became a member of the faculty of the University of Toronto, where he taught music theory, analysis, composition, and orchestration until ill health forced him to retire in 2006.
He died a year later at the age of 62.
Among his notable pupils was composer John Burge.
He was an associate of the Canadian Music Centre and a member of the Canadian League of Composers.