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词条 Daniel Wise (mathematician)
释义

  1. Education

  2. Career and research

     Selected publications  Awards and honors 

  3. References

{{Infobox scientist
| name = Daniel Wise
| honorific_suffix = {{post-nominals|FRS|size=100%}} {{post-nominals|FRSC|size=100%}}
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| image = Daniel_Wise_Royal_Society.jpg
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| caption = Daniel Wise at the Royal Society admissions day in London, July 2018
| birth_name = Daniel T. Wise
| birth_date ={{birth year and age |1971}}
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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[1]
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| awards = CRM-Fields-PIMS prize
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| website ={{URL|http://www.math.mcgill.ca/wise}}
}}Daniel T. Wise {{post-nominals|FRS}} {{post-nominals|FRSC}} (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.[1]

Education

Daniel Wise obtained his Ph.D. from Princeton University in 1996 supervised by Martin Bridson[2] His thesis was titled non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups.[2]

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.[3] In 2009 he announced a solution to the virtually fibered conjecture for cusped hyperbolic 3-manifolds.[4] This was a consequence of his work on the structure of groups with a quasiconvex hierarchy[5] 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 | url = | journal = Geom. Funct. Anal. | volume = 14 | issue = | pages = 150–214 | doi=10.1007/s00039-004-0454-y}}
  • {{cite journal | last1 = Wise | first1 = Daniel T | year = 2002 | title = The residual finiteness of negatively curved polygons of finite groups | url = | journal = Invent. Math. | volume = 149 | issue = 3| pages = 579–617 | doi=10.1007/s002220200224}}
  • {{cite journal | last1 = Haglund | first1 = Frédéric | last2 = Wise | first2 = Daniel T. | year = 2012 | title = A combination theorem for special cube complexes | url = | journal = Annals of Mathematics | volume = 176 | issue = 3| pages = 1427–1482 | doi=10.4007/annals.2012.176.3.2}}
  • Wise, Daniel T. 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 = AJM | volume = 134 | issue = 3| pages = 843–859 | doi=10.1353/ajm.2012.0020| arxiv = 0908.3609 }}

Awards and honors

In 2016 he was awarded the Jeffery–Williams Prize[6]

and the CRM-Fields-PIMS Prize.[7] In 2016 Wise was awarded a Guggenheim Fellowship.[8] He was elected a Fellow of the Royal Society of Canada (FRSC) in 2014 and a Fellow of the Royal Society (FRS) in 2018.[9] 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.[10]


References

1. ^{{cite web|url=http://www.math.mcgill.ca/wise/|title=Home Page|first=Daniel|last=Wise|website=www.math.mcgill.ca}}
2. ^{{MathGenealogy}}
3. ^{{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. }}
4. ^{{Cite web |url=http://aimsciences.org/journals/pdfs.jsp?paperID=4703&mode=full# |title=Archived copy |access-date=2013-01-16 |archive-url=https://web.archive.org/web/20140415072654/http://www.aimsciences.org/journals/pdfs.jsp?paperID=4703&mode=full# |archive-date=2014-04-15 |dead-url=yes |df= }}
5. ^{{cite web|url=https://docs.google.com/file/d/0B45cNx80t5-2T0twUDFxVXRnQnc/edit?pli=1&usp=embed_facebook|title=Hierarchy.pdf|website=Google Docs}}
6. ^{{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}}
7. ^{{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}}
8. ^{{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}}
9. ^{{cite web|url=https://royalsociety.org/people/daniel-wise-13854/|title=Daniel Wise|website=royalsociety.org}}
10. ^{{cite web|url=http://www.ams.org/profession/prizebooklet-2013.pdf |title=Awards and Prizes |date=January 10, 2013 |website=www.ams.org }}
{{CC-notice|cc=by4|url= https://royalsociety.org/people/daniel-wise-13854}}{{Veblen Prize recipients}}{{FRS 2018}}{{Authority control}}{{DEFAULTSORT:Wise, Daniel}}

5 : 1971 births|Living people|20th-century American mathematicians|21st-century American mathematicians|Fellows of the Royal Society

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