This will be a reading course in algebraic topology, emphasizing the homotopy theoretic point of view. The main topics will be higher homotopy groups, (generalized) homology and cohomology, characteristic classes, and computational tools like spectral sequences. We will aim to cover Chapters 1 - 3 of the book "Homotopical Topology" by Anatoly Fomenko and Dmitry Fuchs. There will be no lectures; the students will read the material on their own. There will be weekly online office hours, during which students can interact with the instructor.