Ezra Getzler

Ezra Getzler ( born February 2, 1962) is an Australian mathematician and mathematical physicist.

Getzler studied from 1979 to 1982 at the Australian National University in Canberra ( bachelor's degree with honors in 1982 ) and then at Harvard University, where he received his doctorate at Arthur Jaffe 1986 ( Degree theory for Wiener maps and supersymmetric quantum mechanics ). From 1986 to 1989 he was a Junior Fellow at Harvard. He was Assistant Professor and Associate Professor in 1993 at the Massachusetts Institute of Technology 1989. From 1997 he was an associate professor and in 1999 professor at Northwestern University. He has been a visiting scientist at the Max Planck Institute for Mathematics in Bonn (1996) and Visiting Professor at the Ecole Normale Superieure (1992 ), the Institute Henri Poincaré (2007), the University of Nice -Antipolis, at Imperial College London ( 2007 / 8) and the University of Paris VI. In 2002 he was at the Institute for Advanced Study.

Getzler is known for its fresh proof (1983 ) of the Atiyah-Singer index theorem with the help of supersymmetry, building on ideas of Luis Alvarez- Gaume and Edward Witten in physics. In addition to mathematical physics, he deals with algebraic geometry, category theory and algebraic topology.

From 1982 to 1986 he was a Fulbright Scholar and 1985/1986 Sloan Fellow. He is a Fellow of the American Mathematical Society.

Writings

  • With Nicole Berline, Michèle Vergne Heat Kernels and Dirac Operators, Springer Verlag, basic teachings of Mathematical Sciences, 1992
  • Pseudo-differential operators on supermanifolds and the Atiyah -Singer index theorem, Communications Math.Physics, Bd.92, 1983, p.163, online
  • A short proof of the Atiyah -Singer index theorem, Topology, Vol 25, 1987, p.111 -117
  • The local Atiyah -Singer index theorem, in Konrad Osterwalder, Raymond Stora (Eds. ): Critical phenomena, random systems, gauge theories (Les Houches Lectures 1984), North -Holland, Amsterdam - New York, 1986, pp. 967-974.
  • Publisher with Mikhail Kapranow: Higher category theory, Workshop Northwestern University in 1997, American Mathematical Society 1998
Atiyah–Singer index theorem Alfred P. Sloan Foundation Integrated Authority File
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