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William Browder (mathematician)

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William Browder
Browder in 1970
Born(1934-01-06)January 6, 1934
New York City, U.S.
DiedFebruary 19, 2025(2025-02-19) (aged 91)
Princeton, New Jersey, U.S.
EducationMassachusetts Institute of Technology (BS)
Princeton University (MS, PhD)
Known forSurgery theory method for classifying high-dimensional manifolds
FatherEarl Browder
RelativesFelix Browder (brother)
Andrew Browder (brother)
Bill Browder (nephew)
Joshua Browder (great-nephew)
Scientific career
FieldsMathematics
InstitutionsPrinceton University
Doctoral advisorJohn Coleman Moore
Doctoral students

William Browder (January 6, 1934 – February 19, 2025) was an American mathematician, who specialized in algebraic topology, differential topology and differential geometry. He served as president of the American Mathematical Society from 1989 to 1991.

Life and career

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William Browder was born in a Jewish hospital in Harlem, New York City on January 6, 1934,[1][2][3] the son of Raisa (née Berkmann), a Russian Jewish woman from Saint Petersburg, and American Communist Party leader Earl Browder, from Wichita, Kansas. His father had moved to the Soviet Union in 1927, where he met and married Raisa. Their first two sons, Felix and Andrew, were born in Moscow in 1931.[4] William attended local public schools in Yonkers for early schooling and graduated from the Massachusetts Institute of Technology with a B.S. degree in 1954. He was a instructor at the University of Rochester from 1957 to 1958 and at Cornell University from 1958 until 1963. In August 1957, his original thesis fell apart when his advisor, John Coleman Moore, found an issue with the idea. However, William came up with a new idea which was titled Homology of Loop Spaces. He received his Ph.D. from Princeton University in 1958, using the dissertation.[2][5][3]

From 1964 onwards, Browder was a professor at Princeton University; he was chair of the mathematics department at Princeton from 1971 to 1973. He was editor of the journal Annals of Mathematics from 1969 to 1981, and president of the American Mathematical Society from 1989 to 1991.[2]

Browder was elected to the United States National Academy of Sciences in 1980, the American Academy of Arts and Sciences in 1984, and the Finnish Society of Sciences and Letters in 1990.[2] In 1994, a conference was held at Princeton in celebration of his 60th birthday.[1] A conference was held at Princeton on the occasion of his retirement in 2012.[6] Browder advised 30 Ph.D. students in his career as well as multiple undergraduate students.[3]

Browder died on February 19, 2025, at the age of 91.[7]

Selected bibliography

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Books
  • Surgery on Simply-Connected Manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 65, Springer-Verlag, Berlin (1972)[8]
  • Algebraic Topology and Algebraic K-Theory, Princeton University Press, 1987, ISBN 0-691-08426-2[9]
Seminal papers
  • "Homotopy Type of Differentiable Manifolds", Proc. 1962 Aarhus Conference, published in Proc. 1993[10]
  • Oberwolfach Novikov Conjecture Conference proceedings, London Mathematical Society Lecture Notes 226 (1995)
  • "The Kervaire Invariant of Framed Manifolds and Its Generalization", Annals of Mathematics 90, 157–186 (1969)[11]

See also

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References

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  1. ^ a b Quinn, Frank, ed. (1995), Prospects in topology: proceedings of a conference in honor of William Browder, Annals of mathematics studies, vol. 138, Princeton University Press, ISBN 978-0-691-02728-9.
  2. ^ a b c d Curriculum vitae from Browder's web site, retrieved October 6, 2010.
  3. ^ a b c "William Browder | Office of the Dean of the Faculty". dof.princeton.edu. Retrieved February 26, 2025.
  4. ^ "Browder_William biography". www-history.mcs.st-and.ac.uk. Retrieved September 15, 2018.
  5. ^ William Browder at the Mathematics Genealogy Project
  6. ^ "Panorama of Topology: A Conference in Honor of William Browder". math.princeton.edu. Princeton University Department of Mathematics. Retrieved September 15, 2018.
  7. ^ "William Browder January 6,1934–February 4, 2025". William Browder Obituary. Retrieved February 20, 2025.
  8. ^ Browder, William (1972). "Surgery on Simply-Connected Manifolds". SpringerLink. doi:10.1007/978-3-642-50020-6. ISBN 978-3-642-50022-0.
  9. ^ Browder, William (November 1, 1987). Algebraic Topology and Algebraic K-Theory: Proceedings of a Symposium in Honor of John C. Moore. (AM-113) (Annals of Mathematics Studies). Princeton University Press. OL 7757901M.
  10. ^ Browder, William (1995) [1962 (first distributed)]. "Homotopy type of differentiable manifolds". In Ranicki, Andrew; Rosenberg, Jonathan M.; Ferry, Steven C. (eds.). Novikov Conjectures, Index Theorems, and Rigidity: Oberwolfach 19930. London Mathematical Society Lecture Note Series. Vol. 1. Cambridge: Cambridge University Press. pp. 97–10. ISBN 978-0-521-49796-1. Retrieved February 25, 2025.
  11. ^ Browder, William (1969). "The Kervaire Invariant of Framed Manifolds and its Generalization". Annals of Mathematics. 90 (1): 157–186. doi:10.2307/1970686. ISSN 0003-486X. JSTOR 1970686.
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