# John Stillwell

**John Colin Stillwell** (born 1942) is an Australian mathematician on the faculties of the University of San Francisco and Monash University.^{[1]}

John Stillwell | |
---|---|

Born | |

Alma mater | University of Melbourne Massachusetts Institute of Technology (Ph.D,1970) |

Awards | Chauvenet Prize (2005) |

Scientific career | |

Fields | Mathematics |

Institutions | 1970 until 2001: Monash University 2002 to date: University of San Francisco |

Doctoral advisor | Hartley Rogers, Jr |

## Contents

## BiographyEdit

He was born in Melbourne, Australia and lived there until he went to the Massachusetts Institute of Technology for his doctorate.^{[1]} He received his PhD from MIT in 1970, working under Hartley Rogers, Jr^{[2]} who had himself worked under Alonzo Church^{[3]} From 1970 until 2001 he taught at Monash University back in Australia and in 2002 began teaching in San Francisco.^{[1]}

## HonorsEdit

In 2005, Stillwell was the recipient of the Mathematical Association of America's prestigious Chauvenet Prize for his article “The Story of the 120-Cell,”^{[4]} Notices of the AMS, January 2001, pp. 17–24.^{[5]} In 2012 he became a fellow of the American Mathematical Society.^{[6]}

## WorksEdit

### BooksEdit

Stillwell is the author of many textbooks and other books on mathematics including:

*Classical Topology and Combinatorial Group Theory*, 1980, ISBN 0-387-97970-0*Mathematics and Its History*, 1989, 3rd edition 2010, ISBN 0-387-95336-1*Geometry of Surfaces*, 1992, ISBN 0-387-97743-0*Elements of Algebra: Geometry, Numbers, Equations*, 1994,^{[7]}ISBN 0-387-94290-4*Numbers and Geometry*, 1998, ISBN 0-387-98289-2*Elements of Number Theory*, 2003, ISBN 0-387-95587-9*The Four Pillars of Geometry*, 2005,^{[8]}ISBN 0-387-25530-3*Yearning for the Impossible: The Surprising Truths of Mathematics*, 2006, ISBN 1-56881-254-X^{[9]}*Naive Lie Theory*, 2008, ISBN 0-387-98289-2*Roads to Infinity*, 2010, ISBN 978-1-56881-466-7*The Real Numbers: An Introduction to Set Theory and Analysis*, 2013, ISBN 978-3319015767*Elements of Mathematics: From Euclid to Godel*, 2016, ISBN 978-0691171685*Reverse Mathematics: Proofs from the Inside Out*, 2018, ISBN 978-0691177175

### Selected articlesEdit

- Stillwell, John (1982). "The word problem and the isomorphism problem for groups".
*Bulletin of the American Mathematical Society*. (N.S.).**6**(1): 33–56. doi:10.1090/s0273-0979-1982-14963-1. MR 0634433. - Stillwell, John (1983). "Efficient computations in groups and simplicial complexes".
*Transactions of the American Mathematical Society*.**276**(2): 715–727. doi:10.1090/s0002-9947-1983-0688973-8. MR 0688973. - Lenard, Andrew; Stillwell, John (1983). "An algorithmically unsolvable problem in analysis".
*Proceedings of the American Mathematical Society*.**88**(1): 129–130. doi:10.1090/s0002-9939-1983-0691292-2. MR 0691292. - Stillwell, John (1987). "The occurrence problem for mapping class groups".
*Proceedings of the American Mathematical Society*.**101**(3): 411–416. doi:10.1090/s0002-9939-1987-0908639-5. MR 0908639. - Stillwell, John (2012). "Poincaré and the early history of 3-manifolds" (PDF).
*Bulletin of the American Mathematical Society*. (N.S.).**49**(4): 555–576. doi:10.1090/s0273-0979-2012-01385-x.

## ReferencesEdit

- ^
^{a}^{b}^{c}Profile at University of San Francisco Archived 2010-09-29 at the Wayback Machine **^**Mathematics Genealogy Project**^**Mathematics Genealogy Project**^**Story of the 120-Cell**^**MAA awards page**^**List of Fellows of the American Mathematical Society, retrieved 2013-08-05.**^**Freudenburg, Gene (1996-01-01). "Review of Elements of Algebra".*The American Mathematical Monthly*.**103**(2): 186–189. doi:10.2307/2975124. JSTOR 2975124.**^**Hunacek, Mark (2007-01-01). "Review of The Four Pillars of Geometry".*The Mathematical Gazette*.**91**(521): 375–378. doi:10.1017/S0025557200181951. JSTOR 40378384.**^**Biss, Daniel (June–July 2007). "Review:*Yearning for the Impossible*, by John Stillwell" (PDF).*Notices of the AMS*.**54**(6): 722–723.