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George Lusztig

From Wikipedia, the free encyclopedia
Romanian–American mathematician

George Lusztig
Born (1946-05-20)May 20, 1946 (age 79)
CitizenshipRomanian, British, American
Alma materUniversity of Bucharest (BSc)
Princeton University (PhD)
Known forCrystal base
Deligne–Lusztig theory
Kazhdan–Lusztig polynomial
AwardsICM Speaker(1974, 1983, 1990)
Berwick Prize(1977)
Guggenheim Fellowship(1982)
FRS(1983)
Cole Prize(1985)
Brouwer Medal(1999)
Leroy P. Steele Prize(2008)
Shaw Prize(2014)
Wolf Prize in Mathematics(2022)
Basic Science Lifetime Award(2025)
Scientific career
FieldsMathematics
InstitutionsUniversity of Warwick
Massachusetts Institute of Technology
Doctoral advisorMichael Atiyah
William Browder
Doctoral students

George Lusztig (bornGheorghe Lusztig; May 20, 1946) is a Romanian-born American mathematician andAbdun Nur Professor at theMassachusetts Institute of Technology (MIT). He was aNorbert Wiener Professor in theDepartment of Mathematics from 1999 to 2009.

Education and career

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Born inTimișoara to aHungarian-Jewish family,[1] he did his undergraduate studies at theUniversity of Bucharest, graduating in 1968. Later that year he left Romania for the United Kingdom, where he spent several months at theUniversity of Warwick andOxford University. In 1969 he moved to the United States, where he went to work for two years withMichael Atiyah at theInstitute for Advanced Study inPrinceton, New Jersey. He received his PhD in mathematics in 1971 after completing a doctoral dissertation, titled "Novikov's higher signature and families ofelliptic operators", under the supervision ofWilliam Browder andMichael Atiyah.[2][3]

Lusztig worked for almost seven years at theUniversity of Warwick. His involvement at the university encompassed a Research Fellowship, (1971–72); lecturer in Mathematics, (1972–74); and Professor of Mathematics, (1974–78). In 1978, he accepted a chair at MIT.[4][1]

Contributions

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He is known for his work onrepresentation theory, in particular for the objects closely related toalgebraic groups, such asfinite reductive groups,Hecke algebras,p{\displaystyle p}-adic groups,quantum groups, andWeyl groups. He essentially paved the way for modern representation theory. This has included fundamental new concepts, including the character sheaves, theDeligne–Lusztig varieties, and theKazhdan–Lusztig polynomials.[5]

Awards and honors

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In 1983, Lusztig was elected as a fellow of theRoyal Society.[4] In 1985 Lusztig won theCole Prize (Algebra). He was elected to theNational Academy of Sciences in 1992. He received theBrouwer Medal in 1999, theNational Order of Faithful Service in 2003 and theLeroy P. Steele Prize for Lifetime Achievement in Mathematics in 2008. In 2012, he became a fellow of theAmerican Mathematical Society[6] and in 2014 he received theShaw Prize in Mathematics.[7] In 2022, he received theWolf Prize in Mathematics.[8] In 2025, he received theBasic Science Lifetime Award.

References

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  1. ^ab"George Lusztig". The GAP Group. Archived fromthe original on 21 December 2012. Retrieved16 November 2011.
  2. ^George Lusztig at theMathematics Genealogy Project
  3. ^Lusztig, George (1971).Novikov's higher signature and families of elliptic operators.
  4. ^ab"George Lusztig Abdun-Nur Professor of Mathematics".MIT Mathematics Department. Archived fromthe original on 27 September 2013. Retrieved16 November 2011.
  5. ^Carter, Roger W.,A survey of the work of George Lusztig,Nagoya Mathematical Journal 182 (2006), pp. 1–45.
  6. ^"List of Fellows of the American Mathematical Society".American Mathematical Society. 2013. Retrieved2 February 2013.
  7. ^Schroeder, Bendta (2 June 2014)."George Lusztig awarded the Shaw Prize in Mathematical Sciences".Massachusetts Institute of Technology. Retrieved5 June 2020.
  8. ^"Wolf Prize Laureate in Mathematics 2022".Wolf Foundation. 2022. Archived fromthe original on 8 February 2022. Retrieved9 February 2022.

External links

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