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{{Short description|American mathematician}}
{{Short description|American mathematician}}



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{{Infobox scientist
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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 a professor of mathematics at [[Rice University]] <ref>{{Cite web|url=https://mathweb.rice.edu/faculty|title=Faculty|website=Department of Mathematics&#124; Rice University}}</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==
⚫
Reid grew up in [[Buckie]], [[Scotland]] <ref> {{Cite web| url=https://issuu.com/aimath/docs/aimatters_autumn_2013/15 | title= Alan Reid profile, AIMatters Autumn 2013}}</ref>. He obtained his doctorate from the [[University of Aberdeen]] <ref>{{Cite web|url=https://math.rice.edu/~ar99/vitae.html|title=Alan Reid: Short Vitae|website=math.rice.edu}}</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''.


⚫
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. He was awarded the [[Sloan Research Fellowship]] in 1997,<ref>{{cite web | url=https://sloan.org/fellows-database | title=Fellows Database }}</ref> and became one of the (inaugural) [[:Category:Fellows of the American Mathematical Society|Fellows of the American Mathematical Society]] in 2013.<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>
⚫
==Notable publications==


==Research==
⚫
* {{cite web|title=The Arithmetic of Hyperbolic 3-Manifolds|url=https://link.springer.com/book/10.1007/978-1-4757-6720-9}} with Colin Maclachlan.


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 |url-access=subscription }}</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>
⚫
==Awards and honours==


He has published more than 100 papers,<ref>{{cite web | url=https://mathscinet.ams.org/mathscinet/MRAuthorID/146355 | title=MathSciNet }}</ref> and supervised 21 PhD students to completion as of 2023.<ref>{{cite web | url=https://mathgenealogy.org/id.php?id=36986 | title=Alan Reid - the Mathematics Genealogy Project }}</ref><ref>{{cite web | url=https://math.rice.edu/~ar99/vitae.html | title=Alan Reid: Short Vitae }}</ref>

⚫
===Notable publications===

⚫
* {{cite book|title=The Arithmetic of Hyperbolic 3-Manifolds|series=Graduate Texts in Mathematics |year=2003 |volume=219 |doi=10.1007/978-1-4757-6720-9 |isbn=978-1-4419-3122-1 |url=https://link.springer.com/book/10.1007/978-1-4757-6720-9 |last1=MacLachlan |first1=Colin |last2=Reid |first2=Alan W. }} with Colin Maclachlan.

⚫
==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.
* Speaker at the [[List of International Congresses of Mathematicians Plenary and Invited Speakers#2018, Rio de Janeiro|2018 International Congress of Mathematicians]], 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>
* {{cite web|title=Edgar Odell Lovett Chair of mathematics, Rice University, 2017--present.|url=https://profiles.rice.edu/faculty/alan-reid}}
* 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>
* In 2013 he became a Fellow 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.
⚫
* [[Sir Edmund Whittaker Memorial Prize|Sir Edmund Whittaker Prize]] in 1993.<ref>{{Cite journal|date=June 1994|title=Sir Edmund Whittaker Memorial Prize|url=https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/sir-edmund-whittaker-memorial-prize/E28D054871777E2EEEDD69E8556503CD|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}}


{{authority control}}
{{authority control}}

{{DEFAULTSORT:Reid, Alan William}}
{{DEFAULTSORT:Reid, Alan William}}
[[Category:20th-century Scottish mathematicians]]
[[Category:20th-century Scottish mathematicians]]
[[Category:21st-century Scottish mathematicians]]
[[Category:21st-century Scottish mathematicians]]
[[Category:Topologists]]
[[Category:American topologists]]
[[Category:Rice University faculty]]
[[Category:Rice University faculty]]
[[Category:Alumni of the University of Aberdeen]]
[[Category:Alumni of the University of Aberdeen]]
[[Category:Year of birth missing (living people)]]
[[Category:Living people]]
[[Category:Living people]]
[[Category:University of Texas at Austin faculty]]
[[Category:University of Texas at Austin faculty]]
[[Category:Scottish expatriates in the United States]]
[[Category:Scottish expatriates in the United States]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:People from Buckie]]
[[Category:1962 births]]

Latest revision as of 14:33, 9 November 2024


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

[edit]

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. He was awarded the Sloan Research Fellowship in 1997,[5] and became one of the (inaugural) Fellows of the American Mathematical Society in 2013.[6]

Research

[edit]

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.[7] 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.[8]

He has published more than 100 papers,[9] and supervised 21 PhD students to completion as of 2023.[10][11]

Notable publications

[edit]
  • MacLachlan, Colin; Reid, Alan W. (2003). The Arithmetic of Hyperbolic 3-Manifolds. Graduate Texts in Mathematics. Vol. 219. doi:10.1007/978-1-4757-6720-9. ISBN 978-1-4419-3122-1. with Colin Maclachlan.

Awards and honours

[edit]

References

[edit]
  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. ^ "Fellows Database".
  6. ^ List of 2013 Fellows of the American Mathematical Society, retrieved 2022-06-25.
  7. ^ Reid, Alan W. (1991). "Arithmeticity of knot complements". Journal of the London Mathematical Society: 171–184. doi:10.1112/jlms/s2-43.1.171.
  8. ^ 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.
  9. ^ "MathSciNet".
  10. ^ "Alan Reid - the Mathematics Genealogy Project".
  11. ^ "Alan Reid: Short Vitae".
  12. ^ "List of 2018 ICM speakers".
  13. ^ "Ohio State Collloquium website".
  14. ^ "Sir Edmund Whittaker Memorial Prize". Proceedings of the Edinburgh Mathematical Society. 37 (2): 359–360. June 1994. doi:10.1017/S0013091500006131. ISSN 1464-3839.
[edit]
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