Topology, often opposed to rigid geometry, is the study of the properties of spaces that are invariant under certain deformations. Space, as domain of social inquiry, knots together issues of human perception, affect and body, event, structure and agency, movement and circulation, and individuation and differentiation, and as such, necessitates interdisciplinary work. Rather than beginning with meanings, values, identities, or roles, topology helps examine the ways social life is distributed across spaces. Our team is led by scholars working collaboratively on methodologies for ‘topological’ analysis of spatial organization, orientation, configuration, and transformation in social processes, technologies, practices, and cultural production. This seminar will gather social scientists working on the spatial aspects of social and aesthetic practice for regular discussion, and invited lectures with mathematicians, artists, engineers, and data scientists who make pure or applied use of topological concepts and formalisms.