Alan Reid (mathematician)

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Alan William Reid
Alan Reid - 2022.png
BornJune 14, 1962 (1962-06-14) (age 60)
NationalityScottish American
Alma materUniversity of Aberdeen
Scientific career
InstitutionsRice University
University of Texas, Austin
ThesisArithmetic Kleinian Groups and their Fuchsian Subgroups (1988)
Doctoral advisorColin 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.


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.


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

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