Lowell E. Jones
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Lowell E. Jones | |
|---|---|
| Born | 1945 |
| Alma mater | Yale University |
| Known for | Farrell–Jones conjecture |
| Scientific career | |
| Fields | Geometry, Topology, |
| Institutions | Stony Brook University |
| Doctoral advisor | Wu Chang Hsiang |
Lowell 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
Jones joined the 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] proved the Borel Conjecture for higher dimensional manifolds of dimensions 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
- ^ "Stony Brook Faculty page". Retrieved 20 December 2015.
- ^ "Mathematics Genealogy Project". Department of Mathematics North Dakota State University. Retrieved 20 December 2015.
- ^ Jones, Lowell (1972). "The converse to the fixed point theorem of P. A. Smith" (PDF). Bulletin of the American Mathematical Society. 78 (2): 234. doi:10.1090/S0002-9904-1972-12934-3. JSTOR 1970734.
- ^ Farrell, F.T.; Jones, L.E. (1978). "Anosov diffeomorphisms constructed from π1 Diff (Sn)". Topology. 17 (3): 273–282. doi:10.1016/0040-9383(78)90031-9.
- ^ Farrell, F.T.; Jones, L.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.
- ^ 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:1006.1489v2.
- ^ "Speakers at the ICM". Retrieved 21 December 2015.
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