Graham is Professor of Folklore and teaches on-campus and off-campus students through the Australian Studies program. He is director of the Australia-Asia-Pacific Institute, director of the Australian Folklore Research Unit and convenor of the Australia at War and Peace Research Group. Graham is a member of the International Australian Studies Association, The Australian Folklore Association, the Folklore Society and the English Folk Dance and Song Society. He is the founder and convenor of the Australian Folklore Network and is an editorial board member of Australian Folklore and Folklife: Journal of Ethnological Studies. He is general editor of the 'Studies in Australia, Asia and the Pacific' research monograph series (Black Swan Press).