# John Coleman Moore

**John Coleman Moore** (May 27, 1923 – January 1, 2016) was an American mathematician. The Borel−Moore homology and Eilenberg–Moore spectral sequence are named after him.[1]

John Coleman Moore | |
---|---|

Born | |

Died | January 1, 2016 92) | (aged

Nationality | American |

Alma mater | Massachusetts Institute of Technology Brown University |

Known for | Borel–Moore homology Eilenberg–Moore spectral sequence |

Scientific career | |

Fields | Mathematics |

Institutions | Princeton University University of Rochester |

Doctoral advisor | George W. Whitehead |

Doctoral students | Paul Baum William Browder Robin Hartshorne J. Peter May Haynes Miller Joseph Neisendorfer Michael Rosen James Stasheff Richard Swan Robert Thomason |

Moore was born in 1923 in Staten Island, New York.[2] He received his B.A. in 1948 from the Massachusetts Institute of Technology and his Ph.D. in 1952 from Brown University under the supervision of George W. Whitehead. He then went to Princeton University as an Instructor, and was eventually promoted to full Professor in 1961. He retired from Princeton in 1989, after which he took a half-time position at the University of Rochester.[3]

His most heavily cited paper is on Hopf algebras, co-authored with John Milnor.[4] As a faculty member at Princeton University, he advised 24 students and is the academic ancestor of 1,005 mathematicians.[5] He was an Invited Speaker at the International Congress of Mathematicians in 1958[6] in Edinburgh and in 1970 in Nice.

In 1983, a conference on K-theory was held at Princeton in honor of his 60th birthday.[7] In 2012 he became a fellow of the American Mathematical Society.[8] He died in 2016 at the age of 92.[9]

## Publications

- Cohen, Frederick R.; Moore, John C.; Neisendorfer, Joseph A. (1979). "Torsion in homotopy groups".
*Annals of Mathematics*. (2).**109**(1): 121–168. doi:10.2307/1971269. MR 0519355. - Cohen, Frederick R.; Moore, John C.; Neisendorfer, Joseph A. (1979). "The double suspension and exponents of the homotopy groups of spheres".
*Annals of Mathematics*. (2).**110**(3): 549–565. doi:10.2307/1971238. MR 0519355.

## References

- Rusin, Dave (1998),
*People whose names are embedded in Math Subject Classification*, archived from the original on 2013-06-28. Updated February 2005. - Pamela Kalte et al.
*American Men and Women of Science*, 22. Edition, Thomson Gale 2005 - "Department Remembers John Coleman Moore (1923-2016)". Princeton Mathematics Department. 2018.
- Milnor, John W.; Moore, John C. (1965), "On the structure of Hopf algebras",
*Annals of Mathematics*,**81**(2): 211–264, doi:10.2307/1970615, JSTOR 1970615. - John Coleman Moore at the Mathematics Genealogy Project
- "7 Princetonians at the International Congress of Mathematicians".
*Princeton Alumni Weekly*. 9 May 1958. p. 14. - Browder, William (1987),
*Algebraic Topology and Algebraic K-Theory: Proceedings of a Conference, October 24-28, 1983 at Princeton University, Dedicated to John C. Moore on His 60th Birthday*, Princeton University Press, ISBN 0-691-08426-2. - List of Fellows of the American Mathematical Society, retrieved 2013-02-10.
- Kelly, Morgan (2016),
*John C. Moore, dedicated and influential Princeton mathematician, dies*.