Math 549, Spring 2021: Topics in Algebraic Topology

Samuel Eilenberg 1913-1998 More pictures

Saunders Mac Lane 1909-2005 More pictures

Category theory for the masses

Instructor Information

• Doug Ravenel

  Office: Hylan 819
  Phone: x54415
  Office hours: TBA

Class meetings

• MW 2:00-3:15 online

• The first meeting will be on Monday February 1.

Useful links

• Lectures notes and recordings.

• Doug’s archive. This includes copies of nearly every reference you need for this course.

• Equivariant Stable Homotopy Theory and the Kervaire Invariant (to appear later in 2021) by Mike Hill, Mike Hopkins and Doug Ravenel. The material for this course is taken from Chapters 2 and 3 of this book.

• Categories for the Working Mathematician, second edition 1998, by Saunders Mac Lane. The standard reference for category theory.

• Higher Topos Theory, 2009, by Jacob Lurie. The standard reference for ∞-categories.