Mathematician:John Willard Milnor

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Mathematician

American mathematician best known for his work in differential topology.


Nationality

American


History

  • Born: 20th February 1931, Orange, New Jersey, USA.
  • 1949, 1950: Named a Putnam Fellow while at Princeton
  • 1951: Graduated from Princeton
  • 1962: Awarded Fields Medal
  • 1967: Awarded National Medal of Science
  • 1982: Awarded Leroy P. Steele Prize for Seminal Contribution to Research
  • 1989: Awarded Wolf Prize in Mathematics
  • 2004: Awarded Leroy P. Steele Prize for Mathematical Exposition
  • 2011: Awarded Leroy P. Steele Prize for Lifetime Achievement
  • 2011: Awarded Abel Prize for his "pioneering discoveries in topology, geometry and algebra"


Theorems, Definitions and Conjectures

Results named for John Willard Milnor can be found here.


Publications

  • 1950: On the Total Curvature of Knots
  • 1953: An Axiomatic Approach to Measurable Utility (Econometrica Vol. 21: 291 – 297) (with I.N. Hersteinwww.jstor.org/stable/1905540
  • 1954: Isotopy of Links (doctoral thesis)
  • 1956: On Manifolds Homeomorphic to the 7-Sphere
  • 1959: Sommes de Variétés Différentiables et Structures Différentiables des Sphères
  • 1959: Differentiable Structures on Spheres
  • 1961: Two Complexes which are Homeomorphic but Combinatorially Distinct (in which he disproved the Hauptvermutung)
  • 1963: Morse theory
  • 1963: Groups of Homotopy Spheres (with Michel A. Kervaire)
  • 1965: Lectures on the h-Cobordism Theorem
  • 1965: Topology from the Differentiable Viewpoint (2nd edition 1997)
  • 1968: Singular Points of Complex Hypersurfaces
  • 1971: Introduction to Algebraic K-Theory
  • 1973: Symmetric Bilinear Forms (with Dale Husemoller)
  • 1974: Characteristic Classes (with James D. Stasheff)
  • 1999: Dynamics in One Complex Variable


Sources