Preface
Gregory Arone and Michael Ching
1 Goodwillie calculus
David Ayala and John Francis
2 A factorization homology primer
Anthony Bahri, Martin Bendersky, and Frederick R. Cohen
3 Polyhedral products and features of their homotopy theory
Paul Balmer
4 A guide to tensor-triangular classification
Tobias Barthel and Agnes Beaudry
5 Chromatic structures in stable homotopy theory
Mark Behrens
6 Topological modular and automorphic forms
Julia E. Bergner
7 A survey of models for (1,n)-categories
Gunnar Carlsson
8 Persistent homology and applied homotopy theory
Natalia Castellana
9 Algebraic models in the homotopy theory of classifying spaces
Ralph L. Cohen
10 Floer homotopy theory, revisited
Benoit Fresse
11 Little discs operads, graph complexes and Grothendieck–Teichmüller
groups
Soren Galatius and Oscar Randal-Williams
12 Moduli spaces of manifolds: a user’s guide
13 An introduction to higher categorical algebra
Moritz Groth
14 A short course on 1-categories
Lars Hesselholt and Thomas Nikolaus
15 Topological cyclic homology
Gijs Heuts
16 Lie algebra models for unstable homotopy theory
Michael A. Hill
17 Equivariant stable homotopy theory
Daniel C. Isaksen and Paul Arne Ostvar
18 Motivic stable homotopy groups
Tyler Lawson
19 En-spectra and Dyer-Lashof operations
Wolfgang Luck
20 Assembly maps
Nathaniel Stapleton
21 Lubin-Tate theory, character theory, and power operations
Kirsten Wickelgren and Ben William
22 Unstable motivic homotopy theory
Index
Biography
Haynes Miller is Professor of Mathematics at the Massachusetts Institute of Technology. Past managing editor of the Bulletin of the American Mathematical Society and author of some sixty mathematics articles, he has directed the PhD work of 27 students during his tenure at MIT. His visionary work in university-level education was recognized by the award of MIT’s highest teaching honor, the Margaret MacVicar Fellowship.
