Universities attend to multiple demands, making it challenging to identify their particular academic project, which can be defined as how the university understands its key purposes and develops its organisation and activities in service of such. While the three pillars of higher education -- teaching, research, and service -- are cited as being core to the modern university, it is the nexus between them that provides the particular institutional identity and purpose. While nexuses exist in every university, the form such nexuses take varies considerably across university types, geographical contexts, student bodies, and programmes. We investigate the nature of the nexuses in one South African university through an analysis of observations, interviews, documents, and a survey. The study suggests that several mechanisms strengthen the nexuses of this university, including geographical positioning, institutional history and an explicitly articulated set of values. It cautions however that the nexuses can be constrained by other mechanisms at play. We argue that there is need for reflecting on and strengthening nexuses within universities in the interests of clarifying the specific academic project. Without this, universities can be swayed in any direction and can lose sight of the identity they would like to claim for themselves.