nLab Michael Hill

• webpage

Selected writings

On string bordism of the classifying space of $E_8$:

• Michael Hill, The $String$ bordism of $B E_8$ and $B E_8 \times B E_8$ through dimension 14, Ill. J. Math. 53 1 (2009) 183-196 [doi:10.1215/ijm/1264170845]

On tmf:

• Christopher Douglas, John Francis, André Henriques, Michael Hill, Topological Modular Forms, Mathematical Surveys and Monographs Volume 201, AMS 2014 (ISBN:978-1-4704-1884-7)

with level structure:

• Michael Hill, Tyler Lawson, Topological modular forms with level structure, Inventiones mathematicae volume 203, pages 359–416 (2016) (arXiv:1312.7394, doi:10.1007/s00222-015-0589-5)

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]

On Tambara functors:

• Michael Hill, David Mehrle, J. D. Quigley: Free incomplete Tambara functors are almost never flat, International Mathematics Research Notices 2023 5 (2023) [arXiv:2105.11513, doi:10.1093/imrn/rnab361]

category: people