Lowell E. Jones

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Lowell E. Jones
Born1945
United States
Alma materYale University
Known forFarrell–Jones conjecture
Scientific career
FieldsGeometry, Topology
InstitutionsStony Brook University
Doctoral advisorWu-Chung Hsiang

Lowell Edwin Jones (born 1945) is an American professor of mathematics at Stony Brook University.[1] Jones' primary fields of interest are topology and geometry. Jones is most well known for his collaboration with F. Thomas Farrell on the Farrell–Jones conjecture.

Education and career[]

Jones received his Ph.D. from Yale University in 1970 under the guidance of Wu-Chung Hsiang.[2] Jones' dissertation topic, assigned by Hsiang,[3] concerned the fixed-point theorem of Paul Althaus Smith.

Jones joined Stony Brook University in 1975.

Mathematical contributions[]

When Farrell and Jones first started collaborating they gave the very first example of an Anosov diffeomorphism on a manifold which was not infranil.[4] Later, Jones and Farrell, also a student of Hsiang, caused a paradigm shift in higher dimensional topology when they applied ideas from differential geometry, and dynamics to questions such as the Borel conjecture. The Farrell–Jones conjecture [5] implies the Borel Conjecture for manifolds of dimension greater than four.

Jones, and Farrell published about fifty papers during their 25-year collaboration.[6]

Jones was invited to speak at the 1990 International Congress of Mathematicians in Kyoto.[7]

References[]

  1. ^ "Stony Brook Faculty page". Retrieved 20 December 2015.
  2. ^ Lowell E. Jones at the Mathematics Genealogy Project
  3. ^ Jones, Lowell (1972). "The converse to the fixed point theorem of P. A. Smith" (PDF). Bulletin of the American Mathematical Society. 78 (2): 234–236. doi:10.1090/S0002-9904-1972-12934-3. JSTOR 1970734.
  4. ^ Farrell, F. Thomas; Jones, Lowell E. (1978). "Anosov diffeomorphisms constructed from π1 Diff (Sn)". Topology. 17 (3): 273–282. doi:10.1016/0040-9383(78)90031-9.
  5. ^ Farrell, F. Thomas; Jones, Lowell E. (Apr 1993). "Isomorphism Conjectures in Algebraic K-Theory". Journal of the American Mathematical Society. 2 (6): 249–297. doi:10.2307/2152801. JSTOR 2152801.
  6. ^ Davis, James (2012). "The Work of Tom Farrell and Lowell Jones in Topology and Geometry". Pure and Applied Mathematics Quarterly. 8 (1): 1–14. arXiv:1006.1489. Bibcode:2010arXiv1006.1489D. doi:10.4310/PAMQ.2012.v8.n1.a3.
  7. ^ "Speakers at the ICM". Retrieved 21 December 2015.
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