George Mostow

(Redirected from G. D. Mostow)

George Daniel Mostow (July 4, 1923 – April 4, 2017) was an American mathematician, renowned for his contributions to Lie theory. He was the Henry Ford II (emeritus) Professor of Mathematics at Yale University, a member of the National Academy of Sciences, the 49th president of the American Mathematical Society (1987–1988), and a trustee of the Institute for Advanced Study from 1982 to 1992.[1]

George Mostow
Born(1923-07-04)July 4, 1923
DiedApril 4, 2017(2017-04-04) (aged 93)
NationalityAmerican
Alma materHarvard University
Known forMostow's rigidity theorem
Mostow–Palais theorem
AwardsWolf Prize (2013)
Leroy P. Steele Prize (1993)
Scientific career
InstitutionsSyracuse University
Johns Hopkins University
Yale University
ThesisThe Extensibility of Local Lie Groups of Transformations and Groups on Surfaces (1948)
Doctoral advisorGarrett Birkhoff

The rigidity phenomenon for lattices in Lie groups he discovered and explored is known as Mostow rigidity. His work on rigidity played an essential role in the work of three Fields medalists, namely Grigori Margulis, William Thurston, and Grigori Perelman. In 1993 he was awarded the American Mathematical Society's Leroy P. Steele Prize for Seminal Contribution to Research. In 2013, he was awarded the Wolf Prize in Mathematics "for his fundamental and pioneering contribution to geometry and Lie group theory."[2]

Biography

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George (Dan) Mostow was born in 1923 in Boston, Massachusetts. His parents were Jews from Ukraine who immigrated to the United States in the early 20th century.[3]

He received his Ph.D. from Harvard University in 1948, with a thesis written under the supervision of Garrett Birkhoff.[4] His academic appointments had been at Syracuse University from 1949 to 1952, at Johns Hopkins University from 1952 to 1961, and at Yale University from 1961 until his retirement in 1999.

Mostow was elected to the National Academy of Sciences in 1974, served as the President of the American Mathematical Society in 1987 and 1988, and was a Trustee of the Institute for Advanced Study in Princeton, New Jersey from 1982 to 1992. He was awarded the AMS Leroy P. Steele Prize for Seminal Contribution to Research in 1993 for his book Strong rigidity of locally symmetric spaces (1973).[5] He died on April 4, 2017.[6]

See also

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References

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  1. ^ "In Memoriam: George Daniel Mostow 1923-2017". Yale University. Archived from the original on 1 January 2018. Retrieved 22 April 2017.
  2. ^ "Prof. George Mostow Winner of Wolf Prize in Mathematics - 2013". The Wolf Foundation.
  3. ^ "Enlightenment at a red traffic light: Wolf Prize laureate Prof. George Daniel Mostow made his greatest scientific breakthrough while driving". Haaretz. May 12, 2013.
  4. ^ George Mostow at the Mathematics Genealogy Project
  5. ^ Helgason, Sigurdur (1975). "Review: Strong rigidity of locally symmetric spaces, by G. D. Mostow". Bull. Amer. Math. Soc. 81 (3, Part 1): 509–514. doi:10.1090/s0002-9904-1975-13726-8.
  6. ^ "In Memoriam: George Daniel Mostow 1923-2017". Yale University. Archived from the original on 1 January 2018. Retrieved 18 January 2017.
  • Science 20 October 1978: Vol. 202. no. 4365, pp. 297–298.
  • Pierre Deligne and Daniel Mostow, Commensurabilities among lattices in PU(1,n). Annals of Mathematics Studies, 132. Princeton University Press, 1993 ISBN 0-691-00096-4
  • Roger Howe, editor, Discrete groups in geometry and analysis. Papers in Honor of G. D. Mostow on His Sixtieth Birthday (Conference held at Yale University, New Haven, CT, USA, March 23–25, 1986), Progress in Mathematics, Vol. 67. Birkhäuser, Boston–Basel–Stuttgart ISBN 0-8176-3301-4
  • George Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies, no. 78, Princeton University Press, Princeton, 1973
  • Alexander Lubotzky, Tannaka duality for discrete groups. American Journal of Mathematics Vol. 102, pp. 663 – 689, 1980
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