Cressida's primary area of research focus has been the history of the removal and subsequent study of Indigenous human remains by European institutions within the 'race' paradigm in the 19th century and the campaigns to secure their return. She is particularly interested in how this history illustrates mechanisms of identity representation and construction, how similar mechanisms operate today, how to identify their presence and impact, and to invoke change.
Associated interests include the legacy of the race paradigm in deficit discourse about Aboriginal people, the nature and prevalence of such discourse, and its impact.
She is interested in the communication of information about the meaning and value of cultural heritage, particularly in relation to local communities and Indigenous cultural heritage housed in museums and other collecting institutions. She has a significant interest in public archaeology and the politics of the past.