Table of Contents

1. Introduction Andrew J. Blumberg, Teena Gerhardt, and Michael A. Hill; 2. Homotopical categories: from model categories to (∞,1)-categories Emily Riehl; 3. Stable categories and spectra via model categories Daniel Dugger; 4. Stable homotopy theory via ∞-categories Clark Barwick; 5. Operads and operadic algebras in homotopy theory Michael A. Mandell; 6. Commutative ring spectra Birgit Richter; 7. An introduction to Bousfield localization Tyler Lawson; 8. Spectral algebraic geometry Charles Rezk; Bibliography; Index.

Promotional Information

A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.

About the Author

Andrew J. Blumberg is Herbert and Florence Irving Professor of Cancer Data Research and Professor of Mathematics and Computer Science at Columbia University, New York. Teena Gerhardt is an associate professor in the Department of Mathematics at Michigan State University. Michael A. Hill is Professor of Mathematics at the University of California, Los Angeles.