Algebaic Methods in Geometry

This will be a lecture course on quasicategories (aka \infty-categories) based on the lecture notes by Charles Rezk on that subject ("Introduction to quasicategories").

Other sources you might find helpful are the works by Jacob Lurie ("Higher Topos Theory"), "Kerodon") and maybe the book by Paul Goerss and John Jardine ("Simplicial Homotopy Theory").