Seminar in Topology
MIT OpenCourseWare offers this seminar-style topology course centered on the fundamental group, homology, and cohomology. Rather than lecture-driven instruction, the course is structured around student presentations, giving participants practice preparing and delivering mathematical talks while working through core algebraic topology concepts. Materials include course readings, presentation topics, and assignment schedules as posted on OCW. The course suits students who already have a foundation in point-set topology and want to build toward algebraic topology through active discussion and peer presentation rather than traditional problem sets. As with other OCW offerings, all materials are free to access and there is no certificate involved. It is best suited to self-motivated learners comfortable working through proofs largely independently, with the seminar format standing in for a formal lecture syllabus.