John Lott (mathematician)

John William Lott ( born January 12, 1959 in Rolla, Missouri) is an American mathematician.

Lott studied at the Massachusetts Institute of Technology ( bachelor's degree, 1978) and at the University of California, Berkeley ( Master's degree in mathematics in 1980, in Physics 1981), where he received his doctorate in 1983 at Isadore Singer (Applications of Heat Kernel Expansion of Quantum Field Theory). Then he was up in 1985 as a post-doc at Harvard University and from 1985 to 1987 at the IHES. In 1987 he was Assistant Professor, Associate Professor in 1989 and 1996, a professor at the University of Michigan. Since 2009 he is a professor at Berkeley. He was several times as a guest scientist at the IHES, MSRI ( 2001 and 2004 where he was on a research professor ) and at the Max Planck Institute for Mathematics.

Lott is concerned with differential geometry, initially mainly in mathematical physics in the theory of Yang-Mills fields, supersymmetry and non - commutative geometry. By Cédric Villani, he worked on applying optimal transport on the Ricci curvature in general metric spaces.

He was with Bruce Kleiner member of one of the teams that Grigori Perelman's proof of the Poincaré conjecture checked and gave the eulogy at Perelman in the Fields medal ceremony at the 2006 International Congress of Mathematicians in Madrid.

1989 to 1991 he was Sloan Fellow and 1991/92 Alexander von Humboldt Fellow. In 2013, he shared with Bruce Kleiner the NAS Award for Scientific Reviewing.

Works (selection)

  • Alain Connes: Noncommutative geometry and particle models. Recent advances in field theory (Annecy -le- Vieux, 1990). Nuclear Phys. B Proc. Suppl 18B (1990), 29-47 (1991).
  • Heat kernels on covering spaces and topological invariants. J. Differential Geom 35 (1992 ), no 2, 471-510.
  • Super Connections and higher index theory. Geom Funct. Anal. 2 (1992 ), no 4, 421-454.
  • With Jean -Michel Bismuth: Flat vector bundles, direct images and higher real analytic torsion. J. Amer. Math Soc. 8 (1995 ), no 2, 291-363.
  • With Wolfgang Lück: L2 - topological invariants of $ 3 $ - manifolds. Invent. Math 120 (1995), no 1, 15-60.
  • With Bruce Kleiner: Notes on Perelman 's papers. Geom Topol. 12 (2008 ), no 5, 2587-2855.
  • Cédric Villani with: Ricci curvature for metric -measure spaces via optimal transport. Ann. of Math ( 2) 169 (2009 ), no 3, 903-991.
  • Optimal transport and Perelman 's Reduced volume. Calc. Var. Partial Differential Equations 36 (2009 ), no 1, 49-84.
Rolla (Missouri) Institut des Hautes Études Scientifiques Yang–Mills theory Jean-Michel Bismut Integrated Authority File
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