Algebraic Topology 616:
the model-independent theory of ∞-categories

Spring 2018

MW 1:30-2:45pm
Gilman 219


A draft version of the syllabus can be found here.


The primary course text was a textbook-in-progress, co-written with Dominic Verity, that was drafted as we progressed:


For a preview of the material that we will discuss over the course of the semester, see:

Background category theory can be found in Category Theory in Context or any text that the reader prefers. Background on simplicial sets can be gathered by osmosis or from any introductory text of the reader's choosing.


For guided self-study of some topics in category theory and in the theory of simplicial sets that will be relevant for us, I recommend working through the following exercises before the term begins:

Question and answer sessions are open to everyone (whether or not you've solved any exercises) and any topic is open for discussion. What follows are a list of suggested exercises that may guide our discussion. QUESTIONS?

If you have any questions about the course, please get in touch. My contact info can be found on my personal website.