South Wales Police has confirmed that the staff member from the Cardiff University business school who died is lecturer Malcolm Anderson.
Emergency services were called to the Aberconway Building in Colum Drive, Cathays, Cardiff, on Monday morning.
Mr Anderson, 48, was taken to the University Hospital of Wales, Cardiff, where he sadly died. His family have been informed.
Officers say there are no suspicious circumstances and a file is being prepared for HM Coroner.