# Stable homotopy theory (spectra)

## Video Courses

Stable homotopy foundations (5 lectures)

Alexander Kupers and Anna Marie Bohmann - MSRI Workshop, 2022.Intro to stable homotopy and spectra (4 lectures)

Brooke Shipley - MSRI Summer School, 2013.

## Lecture Notes

The stable homotopy category

Cary Malkiewich, 2014.

## Problem Sets

Homotopical Methods in Fixed Point Theory Problem Sets

CU Boulder, Summer 2022.

## Papers and Books

Stable homotopy and generalized homology

J. F. Adams, 1974.Rings, modules, and algebras in stable homotopy theory (Book, known as "EKMM")

A. D. Elmendorf, I. Kriz, M. A. Mandell, and J. P. May, 1996.Symmetric spectra

Mark Hovey, Brooke Shipley, Jeff Smith, 2000.Model categories of diagram spectra (published version)

M. A. Mandell, J. P. May, S. Schwede, B. Shipley, 2001.Stable model categories are categories of modules

Stefan Schwede, Brooke Shipley, 2002.Symmetric spectra

Stefan Schwede, 2007.Stable Categories and Structured Ring Spectra (Book)

Edited by Andrew Blumberg, Teena Gerhardt, and Michael Hill, 2022.Stable categories and spectra via model categories

Daniel Dugger, 2022.Commutative ring spectra

Birgit Richter, 2017.Foundations of Stable Homotopy Theory (Book)

David Barnes and Constanze Roitzheim, 2020.