This chapter maps the territories and boundaries of the contemporary university. These territorial boundaries have developed over time and are contested spatially within and beyond institutions. The mapped territories include modes of knowledge production, academic disciplines, and the core activities of a university (research, teaching, and knowledge exchange). This mapping of territorial boundaries is carried out to identify opportunities and ways of networking and transcending boundaries to interact with wider society and complex social, technological, and political information and knowledge ecologies. A networking and transcendence of territorial boundaries is carried out to develop the concept of the Postdigital University. The Postdigital University is a rupture in what has come before but also a path-dependent continuation. It builds upon the temporal and genealogical framing of the university as Mode 1 Elite Ivory Tower detached from society, Mode 2 Mass Factory producing productive knowledge and graduates, and Mode 3 Universal Network exchanging and collaborating on knowledge production aided by information technologies. The Postdigital University seeks to network established territories and transcend boundaries through an integrated scholarship of teaching and learning, discovery, application, and integration.