... List of courses | ... Topology I . Elementary Introduction to Geometric Group Theory . Basic Algebra . ... Non-Euclidean geometry . ... The objects of topology: topological and metric spaces, simplectic and cell spaces, manifolds. ... Geometric group theory is the study of groups from the geometric viewpoint. As J.Milnor teaches us, geometry exists both in the group itself and in the spaces it acts on. ... Prerequisites from linear algebra, point set topology, group theory, metric spaces. ...