Daniel Wise (mathematician)
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{{Short description|American mathematician (born 1971)}}
{{Infobox scientist
| name = Daniel Wise
| honorific_suffix = {{post-nominals|FRS|FRSC|size=100%}}
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| caption = Wise in 2018
| birth_name = Daniel T. Wise
| birth_date = {{birth date and age|1971|01|24}}
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| alma_mater = Princeton University (PhD)
| thesis_title = Non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups
| thesis_url = http://www.math.mcgill.ca/wise/pspapers/thesis.ps
| thesis_year = 1996
| doctoral_advisor = Martin Bridson
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| awards = CRM-Fields-PIMS prize
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| website = {{URL|http://www.math.mcgill.ca/wise}}
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Daniel T. Wise (born January 24, 1971) is an American mathematician who specializes in geometric group theory and 3-manifolds. He is a professor of mathematics at McGill University.{{cite web|url=http://www.math.mcgill.ca/wise/|title=Home Page|first=Daniel|last=Wise|website=www.math.mcgill.ca}} Wise's conjecture is named after him.{{citation|url=https://www.quantamagazine.org/getting-into-shapes-from-hyperbolic-geometry-to-cube-complexes-and-back-20121002/|title=Getting Into Shapes: From Hyperbolic Geometry to Cube Complexes and Back|magazine=Quanta Magazine|date=2 October 2012|first=Erica|last=Klarreich|author-link=Erica Klarreich}}
Education
Daniel Wise obtained his PhD from Princeton University in 1996 supervised by Martin Bridson{{MathGenealogy}} His thesis was titled non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups.
Career and research
Wise's research has focused on the role of non-positively curved cube complexes within geometric group theory and their interplay with residual finiteness. His early work was taken to higher dimensions when he introduced with Frédéric Haglund the theory of special cube complexes.{{cite journal | doi=10.1007/s00039-007-0629-4 | volume=17 | issue=5 | title=Special Cube Complexes | journal=Geometric and Functional Analysis | pages=1551–1620|year = 2008|last1 = Haglund|first1 = Frédéric| last2=Wise | first2=Daniel T. | s2cid=120621620 }} In 2009 he announced a solution to the virtually fibered conjecture for cusped hyperbolic 3-manifolds.{{Cite web |url=http://aimsciences.org/journals/pdfs.jsp?paperID=4703&mode=full |title=Archived copy |access-date=January 16, 2013 |archive-url=https://web.archive.org/web/20140415072654/http://www.aimsciences.org/journals/pdfs.jsp?paperID=4703&mode=full |archive-date=April 15, 2014 |url-status=dead }} This was a consequence of his work on the structure of groups with a quasiconvex hierarchy{{cite web|url=https://docs.google.com/file/d/0B45cNx80t5-2T0twUDFxVXRnQnc/edit?pli=1&usp=embed_facebook|title=Hierarchy.pdf|website=Google Docs}} which proved the virtual specialness of a broad class of hyperbolic groups, and established a program for using cube complexes to understand many infinite groups. This subsequently played a key role in the proof of the Virtually Haken conjecture.
=Selected publications=
- {{cite journal | last1 = Wise | first1 = Daniel T | year = 2004 | title = Cubulating Small Cancellation Groups | journal = Geom. Funct. Anal. | volume = 14 | pages = 150–214 | doi=10.1007/s00039-004-0454-y| s2cid = 119826713 }}
- {{cite journal | last1 = Wise | first1 = Daniel T | year = 2002 | title = The residual finiteness of negatively curved polygons of finite groups | journal = Invent. Math. | volume = 149 | issue = 3| pages = 579–617 | doi=10.1007/s002220200224| bibcode = 2002InMat.149..579W | s2cid = 122345756 }}
- {{cite journal | last1 = Haglund | first1 = Frédéric | last2 = Wise | first2 = Daniel T. | year = 2012 | title = A combination theorem for special cube complexes | journal = Annals of Mathematics | volume = 176 | issue = 3| pages = 1427–1482 | doi=10.4007/annals.2012.176.3.2| doi-access = free }}
- Wise, Daniel T. [http://www.ams.org/publications/authors/books/postpub/cbms-117 From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups and Cubical Geometry ] (AMS Lecture Notes, 2012).
- {{cite journal | last1 = Bergeron | first1 = Nicolas | last2 = Wise | first2 = Daniel T. | year = 2012 | title = A Boundary Criterion for Cubulation | journal = American Journal of Mathematics| volume = 134 | issue = 3| pages = 843–859 | doi=10.1353/ajm.2012.0020| arxiv = 0908.3609 | s2cid = 14128842 }}
=Awards and honors=
In 2016 he was awarded the Jeffery–Williams Prize{{cite web|url=http://cms.math.ca/MediaReleases/2016/jw-award|title=Daniel Wise wins the 2016 Jeffery-Williams Prize for a profound impact in mathematical research|website=cms.math.ca}}
and the CRM-Fields-PIMS Prize.{{cite web|url=https://www.pims.math.ca/news/2016-crm-fields-pims-prize-winner-daniel-wise|title=2016 CRM – Fields – PIMS Prize Winner: Daniel Wise – Pacific Institute for the Mathematical Sciences – PIMS|website=www.pims.math.ca}} In 2016 Wise was awarded a Guggenheim Fellowship.{{cite web|url=http://www.gf.org/fellows/all-fellows/daniel-t-wise/|title=John Simon Guggenheim Foundation – Daniel T. Wise|website=www.gf.org}} He was elected a Fellow of the Royal Society of Canada (FRSC) in 2014 and a Fellow of the Royal Society (FRS) in 2018.{{cite web|url=https://royalsociety.org/people/daniel-wise-13854/|title=Daniel Wise|website=royalsociety.org}} For the theory of special cube complexes and his establishment of subgroup separability for a wide class of groups, Daniel Wise together with Ian Agol was awarded in 2013 the Oswald Veblen Prize in Geometry.{{cite web|url=http://www.ams.org/profession/prizebooklet-2013.pdf |title=Awards and Prizes |date=January 10, 2013 |website=www.ams.org }} In 2019, he was awarded the Lobachevsky Prize for his contributions to the virtual Haken conjecture.
References
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Category:20th-century American mathematicians