# Category theory and higher categories

## Video Courses

Infinity category theory from scratch (4 lectures)

Emily Riehl - Young Topologists Meeting Lecture, 2019.An introduction to homotopical categories (4 lectures)

Julie Bergner - MSRI Summer School at CIMAT, 2014.Introduction to infinity category theory

David Gepner - IWoAT Summer School on Chromatic Homotopy Theory and Higher (Infinity-Categorical) Algebra, 2022.

## Lecture Notes and Problem Sets

Category Theory

Part III course by Tom Leinster in 2000 at the University of Cambridge. The problem sets are especially useful!Introduction to quasicategories

Charles Rezk, course notes.

## Papers and Books

Category theory in context

Emily Riehl, 2014.Basic Category Theory

Tom Leinster, 2014.Model Categories

Mark Hovey, 1999.Categories for the Working Mathematician

Saunders Mac Lane, 1978.Homotopical categories: from model categories to (∞,1)-categories

Emily Riehl, 2019.The homotopy theory of (∞,1)-categories

Julie Bergner, 2018Higher Topos Theory

Jacob Lurie, 2012.Higher Algebra

Jacob Lurie, 2017.Introduction to Infinity Categories (textbook)

Markus Land, 2021.