 On the retirement of the foundation Chair Professor Jim Allen, Murray was appointed to the Chair of Archaeology in 1995.He has also taught at the University of New South Wales, the University of Sydney, Cambridge University, the University of Leiden (The Netherlands), the Université de Paris I (Panthéon-Sorbonne), the Ecole des hautes etudes en sciences sociales (Paris) and the Institute of Archaeology, University College London.He was elected a Fellow of the Society of Antiquaries of London in 2003 and Fellow of the Academy of the Humanities in Australia in the same year.