John Morgan (mathematician)

John Willard Morgan ( born March 21, 1946 in Philadelphia ) is an American mathematician who deals with topology and algebraic geometry.

Morgan studied at Rice University, where in 1969 he took his bachelor's degree in 1969 and his doctorate at Morton L. Curtis (Stable tangential homotopy equivalences ). 1969 to 1972 he was instructor at Princeton University, 1972-1974 Assistant Professor at the Massachusetts Institute of Technology (MIT). From 1974 he was an associate professor and in 1977 professor at Columbia University. He has been a visiting professor at the Institut des Hautes Études Scientifiques ( IHES, 2000/2001, 1974-1976 ), at the Institute for Advanced Study (1996/ 97), at Princeton University ( 1994-1996 ), Harvard University (1989 / 1990 ), at the Mathematical Sciences Research Institute ( MSRI, 1984/1985 ) and at the University of Paris-Sud (1975 /76).

In 2006 he formed with TianGang one of the three teams that took the proof of the Poincaré conjecture by Grigori Perelman under the microscope. With Zoltan Szabo and Clifford Taubes, he proved in 1994 the Thom conjecture, regardless of Peter Kronheimer and Tomasz Mrowka.

1974 to 1976 he was a Sloan Fellow. In 1986 he was invited speaker at the International Congress of Mathematicians (ICM ) in Berkeley ( Trees and hyperbolic geometry ) and in Madrid in 2006, where he confirmed the solution of the Poincaré conjecture by Perelman. He also served as an editor of Inventiones Mathematicae, the Journal of the AMS and of Geometry and Topology. In 2009 he was awarded the Levi L. Conant - Prize and was elected to the National Academy of Sciences. In 2008 he held the Gaussian lecture the DMV. He is a Fellow of the American Mathematical Society.

Writings

  • With Phillip Griffiths: Rational homotopy theory and differential forms, Progress in Mathematics, Vol 16, Birkhauser, Boston, 1981, ISBN 3-7643-3041-4.
  • Tomasz Mrowka, Daniel Ruberman: The L2 - moduli space and a vanishing theorem for Donaldson polynomial invariants, Monographs in Geometry and Topology, II, International Press, Cambridge, MA, 1994, ISBN 1-57146-006-3.
  • The algebraic topology of smooth algebraic varieties, Publications Mathématiques de l' IHES, Vol 48, 1978, p 137-204.
  • Robert Friedman: Smooth four- manifolds and complex surfaces, Springer, results of mathematics and its applications, 1994, ISBN 3-540-57058-6.
  • The Seiberg - Witten equations and applications to the topology of smooth four- manifolds, Mathematical Notes, vol 44, Princeton University Press, 1996. ISBN 0-691-02597-5
  • With TianGang: Ricci Flow and the Poincaré Conjecture, Clay Mathematics Institute, 2007
  • Recent Progress on the Poincare conjecture and the classification of 3 - manifolds (PDF file, 293 kB), Bulletin AMS, Bd.42, 2005, Issue 1 ( Conant won the price)
Topology (disambiguation) Zoltán Szabó (mathematician) German Mathematical Society Hyman Bass Carl Pomerance Nick Katz Peter Sarnak Terence Tao Ronald Solomon Jeffrey Weeks (mathematician) Avi Wigderson John C. Baez Integrated Authority File
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