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.

• Preface Gregory Arone and Michael Ching1 Goodwillie calculus David Ayala and John Francis2 A factorization homology primer Anthony Bahri, Martin Bendersky, and Frederick R. Cohen3 Polyhedral products and features of their homotopy theoryPaul Balmer4 A guide to tensor-triangular classification Tobias Barthel and Agnes Beaudry5 Chromatic structures in stable homotopy theory Mark Behrens6 Topological modular and automorphic forms Julia E. Bergner7 A survey of models for (1,n)-categories Gunnar Carlsson8 Persistent homology and applied homotopy theory Natalia Castellana9 Algebraic models in the homotopy theory of classifying spaces Ralph L. Cohen10 Floer homotopy theory, revisited Benoit Fresse11 Little discs operads, graph complexes and Grothendieck–TeichmüllergroupsSoren Galatius and Oscar Randal-Williams12 Moduli spaces of manifolds: a user’s guide13 An introduction to higher categorical algebra Moritz Groth14 A short course on 1-categories Lars Hesselholt and Thomas Nikolaus15 Topological cyclic homology Gijs Heuts16 Lie algebra models for unstable homotopy theory Michael A. Hill17 Equivariant stable homotopy theory Daniel C. Isaksen and Paul Arne Ostvar18 Motivic stable homotopy groups Tyler Lawson19 En-spectra and Dyer-Lashof operations Wolfgang Luck20 Assembly maps Nathaniel Stapleton21 Lubin-Tate theory, character theory, and power operations Kirsten Wickelgren and Ben William22 Unstable motivic homotopy theory Index

Select Guide Rating