# Alan Reid (mathematician)

Alan William Reid | |
---|---|

Born | June 14, 1962 | (age 60)

Nationality | Scottish American |

Alma mater | University of Aberdeen |

Scientific career | |

Fields | Mathematics |

Institutions | Rice University University of Texas, Austin |

Thesis | Arithmetic Kleinian Groups and their Fuchsian Subgroups (1988) |

Doctoral advisor | Colin Maclachlan |

**Alan William Reid** (born June 14, 1962) is a Scottish-American mathematician working primarily with arithmetic hyperbolic 3-manifolds.
He is the Edgar Odell Lovett Chair of mathematics at Rice University, 2017--present.

## Biography

Reid grew up in Buckie, Scotland. He obtained his doctorate from the University of Aberdeen, supervised by Colin Maclachlan, on the topic of *Arithmetic Kleinian Groups and their Fuchsian Subgroups*. He was a Royal Society University Research Fellow at Cambridge 1992-96.

## Research

Alan Reid's research primarily focusses on low-dimensional topology, hyperbolic manifolds and profinite groups. He proved that the figure-eight knot is the only knot whose complement is an arithmetic hyperbolic 3-manifold. With Martin Bridson, Ben McReynolds and Ryan Spitler, he found the first examples of non-elementary Kleinian groups which are determined by their finite quotients among finitely generated residually finite groups.

### Notable publications

*The Arithmetic of Hyperbolic 3-Manifolds*. Graduate Texts in Mathematics. Vol. 219. 2003. doi:10.1007/978-1-4757-6720-9. ISBN 978-1-4419-3122-1. with Colin Maclachlan.

## Awards and honours

- Speaker at the 2018 International Congress of Mathematicans, Rio de Janeiro.
- In 2013 he became one of the (inaugural) Fellows of the American Mathematical Society.
- Pennzoil Company Regents Professor of Mathematics, University of Texas, Austin, 2011 -- 2016.
- Sir Edmund Whittaker Prize in 1993.