William Browder

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William Browder, 1970

William Browder (born January 6, 1934 in New York City ) is an American mathematician who deals with topology (algebraic topology, differential topology).

Browder is the son of US Communist Party temporary secretary Earl Browder and brother of mathematician Felix Browder . He studied at the Massachusetts Institute of Technology (MIT, master's degree 1954) and received his doctorate in 1958 under John Coleman Moore at Princeton University ( Homology of Loop Spaces ). He has been a professor at Princeton since 1964. In 1963/64 and 1975 he was at the Institute for Advanced Study .

In 1966 he gave a lecture at the International Congress of Mathematicians (ICM) in Moscow ( Embedding smooth manifolds ) and in 1970 a plenary lecture at the ICM in Nice ( Manifolds and Homotopy Theory ).

From 1989 to 1991 he was president of the American Mathematical Society , of which he is a fellow. He has been a member of the National Academy of Sciences since 1980 and of the American Academy of Arts and Sciences since 1984 .

Browder with Sergei Novikov , Dennis Sullivan and Terry Wall one of the pioneers of Surgery method ( surgery ) the fragmentation of manifolds in the geometric topology.

His PhD students include Sylvain Cappell , Michael Freedman , Frank Quinn , Dennis Sullivan and Alexander Zabrodsky .


  • Surgery on simply connected manifolds. In: Results of mathematics and its border areas. Springer, 1972.
  • Torsion in H-spaces. Ann. of Math. (2) 74 1961 24-51.
  • Homotopy commutative H-spaces. Ann. of Math. (2) 75 1962 283-311.
  • The Kervaire invariant of framed manifolds and its generalization. Ann. of Math. (2) 90 1969 157-186.
  • Poincaré spaces, their normal fibrations and surgery. Invent. Math. 17 (1972): 191-202.
  • with Hsiang: G-actions and the fundamental group. Invent. Math. 65 (1981/82), no. 3, 411-424.
  • with Adem: The free rank of symmetry of (S n ) k . Invent. Math. 92 (1988) no. 2, 431-440.

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