This paper will investigate patterns of historical periodisation with regard to public intellectual work. It will begin with a focus on educational studies and with a specific case study of the Centre for Applied Research in Education (CARE) at the University of East Anglia. The case study will highlight the roles of leading public intellectuals such as Lawrence Stenhouse and explore the genre of applied research. The notion of applied research in education explicitly sought to connect the project of public education and social justice with research which was applied to these projects In this way, in an idealised form, the public intellectual and applied researcher would offer aid and sustenance, which would enhance and energise the overall project of public education for all By exploring a case study of an institution and the associated research genre I hope to elucidate the relationship between educational studies and the public intellectual and also to examine the changing prospects for such work over different historical periods. Part of the task is to delineate the changing 'windows of opportunity' for public intellectual work. And as we shall see, Brief Encounters are a reasonable characterisation of such patterns of possibility Using the case study as an entry point the paper goes on to discuss broader questions about public intellectuals' prospects. These questions are embedded in the discussion of some of the work of Sandel on market societies, and Applebaum on changing patterns of democratic engagement. The paper concludes with a commentary on contemporary and future prospects for public intellectual engagement. [Paper presented for the Annual Colloquium on Public Intellectuals and Education in a Changing Society (Oxford, United Kingdom, Sep 23-24, 2021).]