J. Michael Boardman

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John Michael Boardman (born February 13, 1938 in Manchester ) is an American mathematician who deals with algebraic topology ( homotopy theory , generalized cohomology theories ).

Life

Boardman studied at the University of Cambridge with a bachelor's degree in 1961 and a doctorate in 1965 under C. T. C. Wall ( On stable homotopy and some applications ). 1966/67 he was an instructor at the University of Chicago and 1967/68 he was a lecturer at the University of Warwick . From 1969 he was associate professor and from 1972 professor at Johns Hopkins University .

He is known for the stable homotopy category he introduced in the 1960s (not published, but presented in Vogt's lectures in Aarhus in 1969). He also dealt with differential topology (singularities of differentiable maps).

With his doctoral student Rainer Vogt (University of Osnabrück), he introduced quasi-categories in 1973, which were later further developed by André Joyal in particular . Also with Vogt he is one of the founders of the theory of operads .

In 2012 he became a Fellow of the American Mathematical Society .

He is a practicing Quaker.

Fonts

  • with Rainer Vogt: Homotopy invariant algebraic structures on topological spaces . Springer Verlag, 1973
  • Stable Homotopy Theory , lecture manuscript, University of Warwick 1965/66
  • Singularities of differentiable maps , Inst. Hautes Études Sci. Publ. Math. No. 33, 1967, pp. 21-57.
  • Conditionally convergent spectral sequences , Contemporary Mathematics, Volume 239, 1999, pp. 49-84.

literature

  • Jean-Pierre Meyer, Jack Morava , W. Stephen Wilson (Eds.): Homotopy invariant algebraic structures. A conference in honor of J. Michael Boardman . In: Contemporary Mathematics , 239, American Mathematical Society, Providence RI 1999

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ^ Boardman: Singularities of differentiable maps . In: Pub. Math. IHES , 33, 1967, pp. 21-57, numdam.org
  3. ^ Conference to celebrate his 60th birthday in 1998. In: Johns Hopkins University Gazette