Alan Reid (mathematician)
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.[1]
Alan William Reid | |
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| 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 |
Biography
Reid grew up in Buckie, Scotland.[2] He obtained his doctorate from the University of Aberdeen,[3] supervised by Colin Maclachlan,[4] 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.[5] 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.[6]
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 Mathematicians, Rio de Janeiro.[7]
- In 2013 he became one of the (inaugural) Fellows of the American Mathematical Society.[8]
- Pennzoil Company Regents Professor of Mathematics, University of Texas, Austin, 2011–2016.[9]
- Sir Edmund Whittaker Prize in 1993.[10]
References
- "Edgar Odell Lovett Chair of mathematics, Rice University, 2017--present".
- "Alan Reid profile, AIMatters Autumn 2013 p. 15" (PDF).
- "Alan Reid: Ph D thesis". discover.libraryhub.jisc.ac.uk.
- "Alan Reid - The Mathematics Genealogy Project". www.mathgenealogy.org.
- Reid, Alan W. (1991). "Arithmeticity of knot complements". Journal of the London Mathematical Society: 171–184. doi:10.1112/jlms/s2-43.1.171.
- Bridson, M. A.; McReynolds, D. B.; Reid, A. W.; Spitler, R. (2020). "Absolute profinite rigidity and hyperbolic geometry". Annals of Mathematics. 192 (3). arXiv:1811.04394. doi:10.4007/annals.2020.192.3.1. S2CID 119327769.
- "List of 2018 ICM speakers".
- List of 2013 Fellows of the American Mathematical Society, retrieved 2022-06-25.
- "Ohio State Collloquium website".
- "Sir Edmund Whittaker Memorial Prize". Proceedings of the Edinburgh Mathematical Society. 37 (2): 359–360. June 1994. doi:10.1017/S0013091500006131. ISSN 1464-3839.