Michael Hopkins, The mathematical work of Douglas C. Ravenel, Homology Homotopy Appl. Volume 10, Number 3 (2008), 1-13 (euclid:hha/1251832464)
On the Adams-Novikov spectral sequence:
On chromatic homotopy theory and introducing Ravenel's spectra and Ravenel's conjectures:
On stable homotopy groups of spheres and chromatic homotopy theory:
On stable homotopy groups of spheres and chromatic homotopy theory:
Doug Ravenel, Nilpotence and Periodicity in Stable Homotopy Theory, Annals of Mathematics Studies 128, Princeton University Press (1992) [ISBN:9780691025728, pdf, webpage]
(“the orange book”)
On elliptic genera:
On chromatic homotopy theory, complex cobordism cohomology and stable homotopy groups of spheres,:
On the Morava K-theory of iterated loop spaces of spheres and on stable splitting of mapping spaces:
On generalized (transchromatic) group characters via complex oriented cohomology theory:
Solving the Arf-Kervaire invariant problem with methods of equivariant stable homotopy theory:
Michael Hill, Michael Hopkins, Douglas Ravenel, Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem, New Mathematical Monographs, Cambridge University Press (2021) [doi:10.1017/9781108917278]
Michael Hill, Michael Hopkins, Douglas Ravenel, On the non-existence of elements of Kervaire invariant one, Annals of Mathematics 184 1 (2016)[doi:10.4007/annals.2016.184.1.1, arXiv:0908.3724, talk slides]
Michael Hill, Michael Hopkins, Douglas Ravenel, The Arf-Kervaire problem in algebraic topology: Sketch of the proof, Current Developments in Mathematics, 2010: 1-44 (2011) (pdf, doi:10.4310/CDM.2010.v2010.n1.a1)
Michael Hill, Michael Hopkins, Douglas Ravenel, The Arf-Kervaire invariant problem in algebraic topology: introduction (2016) [pdf]
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