KNOWPIA
WELCOME TO KNOWPIA

**William Browder** (born January 6, 1934)^{[1]}^{[2]} is an American mathematician, specializing in algebraic topology, differential topology and differential geometry. Browder was one of the pioneers with Sergei Novikov, Dennis Sullivan and C. T. C. Wall of the surgery theory method for classifying high-dimensional manifolds. He served as president of the American Mathematical Society until 1990.

William Browder | |
---|---|

Born | New York City, US | January 6, 1934

Education | Massachusetts Institute of Technology (BS) Princeton University (MS, PhD) |

Known for | Surgery theory method for classifying high-dimensional manifolds |

Father | Earl Browder |

Relatives | Felix Browder (brother) Andrew Browder (brother) Bill Browder (nephew) Joshua Browder (great-nephew) |

Scientific career | |

Fields | Mathematics |

Institutions | Princeton University |

Doctoral advisor | John Coleman Moore |

Doctoral students |

William Browder was born in New York City in 1934, the son of Raisa (née Berkmann), a Jewish Russian 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 sons Felix Browder and Andrew Browder (born 1931) were both born there.^{[3]} He attended local schools. He graduated from the Massachusetts Institute of Technology with a B.S. degree in 1954 and received his Ph.D. from Princeton University in 1958, with a dissertation entitled *Homology of Loop Spaces,* advised by John Coleman Moore.^{[2]}^{[4]}

Since 1964 Browder has been 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]} In 2012 a conference was held at Princeton on the occasion of his retirement.^{[5]}

- Books

- "Surgery on Simply-Connected Manifolds", Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 65, Springer-Verlag, Berlin (1972)
- "Algebraic Topology and Algebraic K-Theory", Princeton University Press, 1987, ISBN 0-691-08426-2

- Seminal papers

- "Homotopy Type of Differentiable Manifolds", Proc. 1962 Aarhus Conference, published in Proc. 1993
- 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)

- Assembly map
- Exotic sphere
- Kervaire invariant
- Normal invariant
- Signature (topology)
- Surgery exact sequence
- Earl Browder, father
- Felix Browder, brother
- Andrew Browder, brother
- Bill Browder, nephew
- Joshua Browder, grandnephew

- ^
^{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. - ^
^{a}^{b}^{c}^{d}Curriculum vitae from Browder's web site, retrieved 2010-10-06. **^**"Browder_William biography".*www-history.mcs.st-and.ac.uk*. Retrieved 15 September 2018.**^**William Browder at the Mathematics Genealogy Project**^**"Panorama of Topology: A Conference in Honor of William Browder".*math.princeton.edu*. Princeton University Department of Mathematics. Retrieved 15 September 2018.

- O'Connor, John J.; Robertson, Edmund F., "William Browder",
*MacTutor History of Mathematics Archive*, University of St Andrews - William Browder (AMS brief bio)
- Browder, William, "My life in mathematics: How I became a mathematician and the milestones of my career" (2012 video)