Following completion of his neurosurgical training in 1986 at Sydney's Royal Prince Alfred Hospital and the Royal Alexandra Hospital for Children, Morgan undertook a Fellowship in Neurosurgery at the Mayo Clinic in Rochester, Minnesota, under the mentorship of Thoralf M. Sundt, Jr.[1] Morgan was appointed Professor of Neurosurgery at the University of Sydney in 1998 and Chair of Neurosurgery at Royal North Shore Hospital until 2006.
As a cerebrovascular neurosurgeon in Sydney Morgan managed more than 4,000 intracranial aneurysms and 800 arteriovenous malformations (AVM) of the brain and spine.
[citation needed] In 2012, Morgan was awarded an Honorary PhD (Neurosurgery) Universiti Kebangsaan Malaysia for service to UKM.
In 2014, Morgan was the Goldwater Memorial Visiting Professor at Barrow Neurological Institute in Phoenix Arizona.
In 2014, Morgan was awarded an Officer in the general division (AO) of the Order of Australia "For distinguished service to medicine as a neurovascular surgeon, researcher and educator, as an international leader and mentor, and to professional organisations.