Lowell Edwin Jones

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Lowell Edwin Jones (* 1945 in Britton , South Dakota) is an American mathematician who studies topology and differential geometry.

Jones received his PhD from Yale University in 1970 with Wu-Chung Hsiang (A converse of a fixed point theorem of PA Smith ). He then became a professor at the State University of New York at Stony Brook , where he has been since 1975.

He worked a lot with F. Thomas Farrell , for example in the proof of special cases of the Borel conjecture, in Anosov diffeomorphisms and in establishing the Farrell-Jones conjectures in the algebraic K-theory.

In 1990 he was an invited speaker at the International Congress of Mathematicians in Kyoto ( Rigidity in Geometry and Topology with F. Thomas Farrell).

In 1973/74 he was at the Institute for Advanced Study .

Fonts

with Farrell:

  • Anosov diffeomorphisms constructed from Diff . In: Topology. Volume 17, No. 3, 1978, pp. 273-282, doi : 10.1016 / 0040-9383 (78) 90031-9 .
  • -theory and dynamics. I. In: Annals of Mathematics . Series 2, Vol. 124, No. 3, 1986, pp. 531-569, doi : 10.2307 / 2007092 .
  • The surgery groups of poly (finite or cyclic) groups. In: Inventiones Mathematicae . Volume 91, No. 3, 1988, pp. 559-586 .
  • A topological analogue of Mostow's rigidity theorem. In: Journal of the American Mathematical Society . Volume 2, No. 2, 1989, pp. 257-370, doi : 10.2307 / 1990978 .
  • Classical aspherical manifolds. Expository lectures from the CBMS Regional Conference held at the University of Florida, January 9-14, 1989 (= Regional Conference Series in Mathematics. 75). American Mathematical Society, Providence RI 1990, ISBN 0-8218-0726-9 .
  • Isomorphism Conjectures in Algebraic Theory. In: Journal of the American Mathematical Society. Volume 6, No. 2, 1993, pp. 249-297, doi : 10.2307 / 2152801 .
  • Topological rigidity for compact nonpositively curved manifolds. In: Robert Greene, Shing-Tung Yau (Ed.): Differential geometry. Volume 3: Riemannian geometry. (Proceedings of the Summer Research Institute on Differential Geometry held at the University of California, Los Angeles, Los Angeles, California July 8-28, 1990) (= Proceedings of Symposia in Pure Mathematics. 54, 3). American Mathematical Society, Providence RI 1993, ISBN 0-8218-1496-6 , pp. 229-274.
  • Complex hyperbolic manifolds and exotic smooth structures. In: Inventiones Mathematicae. Volume 117, 1994, pp. 57-74 .
  • Rigidity for aspherical manifolds with . In: The Asian Journal of Mathematics. Volume 2, No. 2, 1998, pp. 215-262, doi : 10.4310 / AJM.1998.v2.n2.a1 .

literature

  • James F. Davis: The work of Tom Farrell and Lowell Jones in topology and geometry. In: Pure and Applied Mathematics Quarterly. Volume 8, No. 1 (Special issue in honor of F. Thomas Farrell and Lowell E. Jones), 2012, pp. 1-14, doi : 10.4310 / PAMQ.2012.v8.n1.a3 .

Individual evidence

  1. ↑ Dates of birth according to IAS 1980 membership book
  2. ^ Lowell Edwin Jones in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Published in Bulletin of the American Mathematical Society . Volume 78, No. 2, 1972, pp. 234-235, doi : 10.1090 / S0002-9904-1972-12934-3 .
personal data
SURNAME Jones, Lowell Edwin
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1945
PLACE OF BIRTH Britton , South Dakota