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'''Alan William Reid''' (born June 14, 1962) is a Scottish-American mathematician working primarily with [[Arithmetic hyperbolic 3-manifold| arithmetic hyperbolic 3-manifolds]].
'''Alan William Reid''' (born June 14, 1962) is a Scottish-American mathematician working primarily with [[arithmetic hyperbolic 3-manifold]]s.
He is the [[Edgar Odell Lovett]] Chair of mathematics at [[Rice University]], 2017--present. <ref>{{cite web|title=Edgar Odell Lovett Chair of mathematics, Rice University, 2017--present.|url=https://profiles.rice.edu/faculty/alan-reid}}</ref>
He is the [[Edgar Odell Lovett]] Chair of mathematics at [[Rice University]], 2017—present.<ref>{{cite web|title=Edgar Odell Lovett Chair of mathematics, Rice University, 2017--present.|url=https://profiles.rice.edu/faculty/alan-reid}}</ref>


==Biography==
==Biography==


Reid grew up in [[Buckie]], [[Scotland]].<ref> {{Cite web| url=https://aimath.org/wp-content/uploads/newsletter2013.pdf | title= Alan Reid profile, AIMatters Autumn 2013 p. 15}}</ref> He obtained his doctorate from the [[University of Aberdeen]],<ref>{{Cite web|url=https://discover.libraryhub.jisc.ac.uk/search?ti=Fuchsian%20Groups&rn=5|title=Alan Reid: Ph D thesis|website=discover.libraryhub.jisc.ac.uk}}</ref> supervised by [[Colin Maclachlan]],<ref>{{Cite web|url=https://www.mathgenealogy.org/id.php?id=36986|title=Alan Reid - The Mathematics Genealogy Project|website=www.mathgenealogy.org}}</ref> on the topic of ''Arithmetic Kleinian Groups and their Fuchsian Subgroups''. He was a [[Royal Society University Research Fellow]] at Cambridge 1992-96.
Reid grew up in [[Buckie]], [[Scotland]].<ref>{{Cite web| url=https://aimath.org/wp-content/uploads/newsletter2013.pdf | title= Alan Reid profile, AIMatters Autumn 2013 p. 15}}</ref> He obtained his doctorate from the [[University of Aberdeen]],<ref>{{Cite web|url=https://discover.libraryhub.jisc.ac.uk/search?ti=Fuchsian%20Groups&rn=5|title=Alan Reid: Ph D thesis|website=discover.libraryhub.jisc.ac.uk}}</ref> supervised by [[Colin Maclachlan]],<ref>{{Cite web|url=https://www.mathgenealogy.org/id.php?id=36986|title=Alan Reid - The Mathematics Genealogy Project|website=www.mathgenealogy.org}}</ref> on the topic of ''Arithmetic Kleinian Groups and their Fuchsian Subgroups''. He was a [[Royal Society University Research Fellow]] at Cambridge 1992-96.


==Research==
==Research==


Alan Reid's research primarily focusses on [[low-dimensional topology]], [[Hyperbolic manifold|hyperbolic manifolds]] and [[Profinite group|profinite groups]]. He proved that the [[Figure-eight knot (mathematics)|figure-eight knot]] is the only knot whose complement is an [[arithmetic hyperbolic 3-manifold]]. <ref>{{Cite journal|url=https://doi.org/10.1112/jlms/s2-43.1.171 |title=Arithmeticity of knot complements|year=1991 |doi=10.1112/jlms/s2-43.1.171 |last1=Reid |first1=Alan W. |journal=Journal of the London Mathematical Society |pages=171–184 }} </ref> With [[Martin Bridson]], Ben McReynolds and Ryan Spitler, he found the first examples of non-elementary [[Kleinian group|Kleinian groups]] which are determined by their finite quotients among [[finitely generated group|finitely generated]] [[Residually finite group|residually finite groups]]. <ref>{{Cite journal | url= https://doi.org/10.4007/annals.2020.192.3.1 | title = Absolute profinite rigidity and hyperbolic geometry | year = 2020 | doi = 10.4007/annals.2020.192.3.1 | last1 = Bridson | first1 = M. A. | last2 = McReynolds | first2 = D. B. | last3 = Reid | first3 = A. W. | last4 = Spitler | first4 = R. | journal = Annals of Mathematics | volume = 192 | issue = 3 | arxiv = 1811.04394 | s2cid = 119327769 }}</ref>
Alan Reid's research primarily focusses on [[low-dimensional topology]], [[hyperbolic manifold]]s and [[profinite group]]s. He proved that the [[Figure-eight knot (mathematics)|figure-eight knot]] is the only knot whose complement is an [[arithmetic hyperbolic 3-manifold]].<ref>{{Cite journal|url=https://doi.org/10.1112/jlms/s2-43.1.171 |title=Arithmeticity of knot complements|year=1991 |doi=10.1112/jlms/s2-43.1.171 |last1=Reid |first1=Alan W. |journal=Journal of the London Mathematical Society |pages=171–184 }}</ref> With [[Martin Bridson]], Ben McReynolds and Ryan Spitler, he found the first examples of non-elementary [[Kleinian group]]s which are determined by their finite quotients among [[finitely generated group|finitely generated]] [[residually finite group]]s.<ref>{{Cite journal | url= https://doi.org/10.4007/annals.2020.192.3.1 | title = Absolute profinite rigidity and hyperbolic geometry | year = 2020 | doi = 10.4007/annals.2020.192.3.1 | last1 = Bridson | first1 = M. A. | last2 = McReynolds | first2 = D. B. | last3 = Reid | first3 = A. W. | last4 = Spitler | first4 = R. | journal = Annals of Mathematics | volume = 192 | issue = 3 | arxiv = 1811.04394 | s2cid = 119327769 }}</ref>


===Notable publications===
===Notable publications===
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==Awards and honours==
==Awards and honours==


⚫
* Speaker at the [[List of International Congresses of Mathematicians Plenary and Invited Speakers#2018, Rio de Janeiro|2018 International Congress of Mathematicans]], Rio de Janeiro.<ref>{{Cite web|title=List of 2018 ICM speakers|url=https://www.mathunion.org/fileadmin/IMU/ICM2018/static_site/portal/invited-section-lectures-speakers.html}}</ref>

⚫
* Speaker at the [[List of International Congresses of Mathematicians Plenary and Invited Speakers#2018, Rio de Janeiro | 2018 International Congress of Mathematicans]], Rio de Janeiro.<ref>{{Cite web|title=List of 2018 ICM speakers|url=https://www.mathunion.org/fileadmin/IMU/ICM2018/static_site/portal/invited-section-lectures-speakers.html}} </ref>
* In 2013 he became one of the (inaugural) [[:Category:Fellows of the American Mathematical Society|Fellows of the American Mathematical Society]].<ref>[http://www.ams.org/fellows_by_year.cgi?year=2013#r List of 2013 Fellows of the American Mathematical Society], retrieved 2022-06-25.</ref>
* In 2013 he became one of the (inaugural) [[:Category:Fellows of the American Mathematical Society|Fellows of the American Mathematical Society]].<ref>[http://www.ams.org/fellows_by_year.cgi?year=2013#r List of 2013 Fellows of the American Mathematical Society], retrieved 2022-06-25.</ref>
* Pennzoil Company Regents Professor of Mathematics, University of Texas, Austin, 2011 -- 2016.<ref>{{Cite web|title=Ohio State Collloquium website|url=https://math.osu.edu/events/colloquium-alan-reid}}</ref>
* Pennzoil Company Regents Professor of Mathematics, University of Texas, Austin, 2011–2016.<ref>{{Cite web|title=Ohio State Collloquium website|url=https://math.osu.edu/events/colloquium-alan-reid}}</ref>
* [[Sir Edmund Whittaker Memorial Prize|Sir Edmund Whittaker Prize]] in 1993.<ref>{{Cite journal|date=June 1994|title=Sir Edmund Whittaker Memorial Prize|journal=Proceedings of the Edinburgh Mathematical Society|language=en|volume=37|issue=2|pages=359–360|doi=10.1017/S0013091500006131|issn=1464-3839|doi-access=free}}</ref>
* [[Sir Edmund Whittaker Memorial Prize|Sir Edmund Whittaker Prize]] in 1993.<ref>{{Cite journal|date=June 1994|title=Sir Edmund Whittaker Memorial Prize|journal=Proceedings of the Edinburgh Mathematical Society|language=en|volume=37|issue=2|pages=359–360|doi=10.1017/S0013091500006131|issn=1464-3839|doi-access=free}}</ref>


==References==
==References==
{{Reflist}}
{{Reflist}}

==External links==
==External links==
* {{cite web|url=https://math.rice.edu/~ar99|title=Reid's personal homepage}}
* {{cite web|url=https://math.rice.edu/~ar99|title=Reid's personal homepage}}


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{{authority control}}

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Revision as of 20:40, 21 November 2022

Alan William Reid
BornJune 14, 1962 (1962-06-14) (age 62)
NationalityScottish American
Alma materUniversity of Aberdeen
Scientific career
FieldsMathematics
InstitutionsRice University
University of Texas, Austin
Thesis Arithmetic 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.[1]

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

References

  1. ^ "Edgar Odell Lovett Chair of mathematics, Rice University, 2017--present".
  2. ^ "Alan Reid profile, AIMatters Autumn 2013 p. 15" (PDF).
  3. ^ "Alan Reid: Ph D thesis". discover.libraryhub.jisc.ac.uk.
  4. ^ "Alan Reid - The Mathematics Genealogy Project". www.mathgenealogy.org.
  5. ^ Reid, Alan W. (1991). "Arithmeticity of knot complements". Journal of the London Mathematical Society: 171–184. doi:10.1112/jlms/s2-43.1.171.
  6. ^ 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.
  7. ^ "List of 2018 ICM speakers".
  8. ^ List of 2013 Fellows of the American Mathematical Society, retrieved 2022-06-25.
  9. ^ "Ohio State Collloquium website".
  10. ^ "Sir Edmund Whittaker Memorial Prize". Proceedings of the Edinburgh Mathematical Society. 37 (2): 359–360. June 1994. doi:10.1017/S0013091500006131. ISSN 1464-3839.
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