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词条 Vaughan Jones
释义

  1. Biography

  2. Honours

  3. Publications

  4. See also

  5. References

  6. External links

{{about|the mathematician|the former soccer player|Vaughan Jones (footballer)}}{{use New Zealand English|date=January 2015}}{{Use dmy dates|date=September 2014}}{{Infobox scientist
| name = Sir Vaughan Jones
| image = Vaughan Jones p1190550.jpg
| honorific_suffix = {{Post-nominals|country=NZL|KNZM|FRS|FRSNZ}} {{Post-nominals|country=AUS|FAA}}
| image_size =
| caption = Vaughan Jones in 2007
| birth_name = Vaughan Frederick Randal Jones
| birth_date = {{Birth date and age|df=yes|1952|12|31}}
| birth_place = Gisborne, New Zealand
| death_date =
| death_place =
| residence =
| citizenship =
| nationality = New Zealand
| ethnicity =
| fields = Mathematics
| workplaces = University of California, Berkeley
Vanderbilt University
University of California, Los Angeles
University of Pennsylvania
| alma_mater = University of Geneva
University of Auckland
| doctoral_advisor = André Haefliger
| academic_advisors =
| doctoral_students =
| notable_students =
| known_for = Von Neumann algebras, knot polynomials, conformal field theory
| author_abbrev_bot =
| author_abbrev_zoo =
| influences =
| influenced =
| awards = Fields Medal (1990)
| religion =
| signature =
| footnotes =
}}

Sir Vaughan Frederick Randal Jones {{post-nominals|country=NZL|KNZM|FRS|FRSNZ}} {{post-nominals|country=AUS|FAA}} (born 31 December 1952) is a New Zealand mathematician, known for his work on von Neumann algebras and knot polynomials. He was awarded a Fields Medal in 1990, and famously wore a New Zealand rugby jersey when he gave his acceptance speech in Kyoto.

Biography

Vaughan Jones was born in Gisborne, New Zealand and brought up in Cambridge, New Zealand, completing secondary school at Auckland Grammar School. His undergraduate studies were at the University of Auckland, from where he obtained a BSc in 1972 and an MSc in 1973. For his graduate studies, he went to Switzerland, where he completed his PhD at the University of Geneva in 1979. His thesis, titled Actions of finite groups on the hyperfinite II1 factor, was written under the supervision of André Haefliger. In 1980, he moved to the United States, where he taught at the University of California, Los Angeles (1980–1981) and the University of Pennsylvania (1981–1985), before being appointed as Professor of Mathematics at the University of California, Berkeley.

His work on knot polynomials, with the discovery of what is now called the Jones polynomial, was from an unexpected direction with origins in the theory of von Neumann algebras, an area of analysis already much developed by Alain Connes. It led to the solution of a number of classical problems of knot theory, and to increased interest in low-dimensional topology.

Jones has since 2011 been at Vanderbilt University as Stevenson Distinguished Professor of mathematics.[1] He remains Professor Emeritus at University of California, Berkeley where he has been on the faculty since 1985[2] and is a Distinguished Alumni Professor at the University of Auckland.[3]

He was made an honorary vice-president for life of the International Guild of Knot Tyers in 1992.

Honours

  • 1990{{snd}}awarded the Fields Medal.
  • 1990{{snd}}elected Fellow of the Royal Society.[4]
  • 1991{{snd}}awarded the Rutherford Medal by the Royal Society of New Zealand.
  • 1991{{snd}}awarded the degree of Doctor of Science by the University of Auckland
  • 1992{{snd}}elected to the Australian Academy of Science as a Corresponding Fellow.
  • 1992 - awarded a Miller Professorship at the University of California Berkeley.
  • 2002{{snd}}appointed Distinguished Companion of The New Zealand Order of Merit in the Queen's Birthday Honours 2002, for services to mathematics.[5]
  • 2009{{snd}}in the Special Honours 2009, redesignated his DCNZM to a Knight Companion of The New Zealand Order of Merit.[6]
  • 2012{{snd}}became a Fellow of the American Mathematical Society.[7]

Publications

  • {{Cite journal|last=Jones|first=Vaughan F.R. | title=Index for subfactors|
       journal=Inventiones Mathematicae |volume=72|year=1983 |number=1 |   pages=1–25| mr=696688|doi=10.1007/BF01389127}}
  • {{Cite journal|last=Jones |first=Vaughan F.R. | title=A polynomial invariant for knots via von Neumann algebra | year=1985 | journal=Bulletin of the American Mathematical Society|series= (N.S.) | volume=12 | pages=103–111|mr=0766964 | doi=10.1090/s0273-0979-1985-15304-2}}
  • {{Cite journal|last=Jones |first=Vaughan F.R. | mr=0908150| title= Hecke algebra representations of braid groups and link polynomials|journal=

Annals of Mathematics| series=(2) | volume= 126 |year=1987|issue= 2|pages= 335–388|doi=10.2307/1971403}}

  • {{cite book|last=Jones |first=Vaughan F.R.| title=Actions of finite groups on the hyperfinite type II1 factor|year=1980|publisher=Memoirs of the American Mathematical Society}}
  • {{cite book|last3=Jones |first3=Vaughan F.R.|first1= Frederick M.|last1= Goodman|first2=Pierre|last2=de la Harpe| authorlink2=Pierre de la Harpe| title=Coxeter graphs and towers of algebras|year=1989|series=Mathematical Sciences Research Institute Publications|volume= 14| publisher=Springer-Verlag|mr=0999799|doi=10.1007/978-1-4613-9641-3}}[8]
  • {{cite book|last=Jones |first=Vaughan F.R.|title=Subfactors and knots|year=1991|mr=1134131|series=CBMS Regional Conference Series in Mathematics|volume= 80|publisher=American Mathematical Society|location=Providence, RI|doi=10.1090/cbms/080}}[9]
  • {{cite book|last1=Jones |first1=Vaughan F.R.| last2=Sunder|first2=Viakalathur Shankar|title=Introduction to subfactors|series=London Mathematical Society Lecture Note Series|volume= 234|year=1997|publisher=Cambridge University Press|location=Cambridge|doi=10.1017/CBO9780511566219|isbn=0-521-58420-5|mr=1473221}}

See also

  • Subfactor
  • Jones polynomial
  • Planar algebra

References

1. ^Personal web page at Vanderbilt University
2. ^[https://math.berkeley.edu/people/faculty/vaughan-f-r-jones Personal web page at Berkeley]
3. ^[https://unidirectory.auckland.ac.nz/profile/v-jones Personal web page at Auckland]
4. ^{{ cite web | url= http://royalsociety.org/about-us/fellowship/fellows/|title = Fellows |publisher= Royal Society|accessdate = 5 November 2010}}
5. ^"The Queen's Birthday and Golden Jubilee Honours 2002" (5 June 2002) 57 New Zealand Gazette 1553.
6. ^Special Honours List (12 August 2009) 118 New Zealand Gazette 2691
7. ^List of Fellows of the American Mathematical Society, retrieved 26 January 2013.
8. ^{{cite journal|last=Birman|first= Joan S.|authorlink=Joan Birman|title=Review: Coxeter graphs and towers of algebras, by F. M. Goodman, P. de la Harpe, and V. F. R. Jones|journal=Bulletin of the American Mathematical Society|series= (N.S.)|year=1991|volume=25|issue=1|pages=195–199|url=http://www.ams.org/journals/bull/1991-25-01/S0273-0979-1991-16063-5/|doi=10.1090/s0273-0979-1991-16063-5}}
9. ^{{cite journal|last=Kauffman|first= Louis H.|authorlink=Louis Kauffman|title=Review: Subfactors and knots, by V. F. R. Jones|journal=Bulletin of the American Mathematical Society|series= (N.S.)|year=1994|volume=31|issue=1|pages=147–154|url=http://www.ams.org/journals/bull/1994-31-01/S0273-0979-1994-00509-9/|doi=10.1090/s0273-0979-1994-00509-9}}

External links

{{commons category|Vaughan Jones}}
  • {{MacTutor Biography|id=Jones_Vaughan}}
  • {{MathGenealogy |id=25056}}
  • Jones' home page
  • [https://web.archive.org/web/20051225153304/http://www.math.auckland.ac.nz/Careers/vaughan/vaughan.htm Career profile page at the University of Auckland]
  • Joan S. Birman: The Work of Vaughan F. R. Jones in Ichirō Satake (ed.): Proceedings of the International Congress of Mathematicians, 21–29 August 1990, Kyoto, Japan, Springer, 1991 (Laudatio for Fields-Medal 1990; online)
{{Fields medalists}}{{FRS 1990}}{{Authority control}}{{DEFAULTSORT:Jones, Vaughan}}

22 : 1952 births|Living people|People from Gisborne, New Zealand|People from Waikato|People educated at Auckland Grammar School|University of Auckland alumni|New Zealand mathematicians|20th-century mathematicians|21st-century mathematicians|Fields Medalists|University of California, Berkeley faculty|University of Geneva alumni|University of California, Los Angeles faculty|University of Pennsylvania faculty|Knights Companion of the New Zealand Order of Merit|Fellows of the American Mathematical Society|Fellows of the Royal Society of New Zealand|New Zealand Fellows of the Royal Society|Guggenheim Fellows|Members of the United States National Academy of Sciences|Recipients of the Rutherford Medal|Fellows of the Australian Academy of Science

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