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{{notability|date=December 2015}}
{{Infobox scientist
{{Infobox scientist
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==Mathematical Contributions==
==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.<ref>{{cite journal|last1=Farrell|first1=F.T.|last2=Jones|first2=L.E.|title=Anosov diffeomorphisms constructed from π1 Diff (Sn)|journal=Topology|date=1978|volume=17|issue=3|pages=273–282|doi=10.1016/0040-9383(78)90031-9}}</ref> 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 <ref>{{cite journal|last1=Farrell|first1=F.T.|last2=Jones|first2=L.E.|title=Isomorphism Conjectures in Algebraic K-Theory|date=Apr., 1993|volume=2|issue=6|pages=249–297|doi=10.2307/2152801|url=http://www.jstor.org/stable/2152801}}</ref>{{notability|date=December 2015}} proved the Borel Conjecture for higher dimensional manifolds of dimensions greater than four.
When Farrell, and Jones first started collaborating they gave the very first example of an Anosov diffeomorphism on a manifold which was not infranil.<ref>{{cite journal|last1=Farrell|first1=F.T.|last2=Jones|first2=L.E.|title=Anosov diffeomorphisms constructed from π1 Diff (Sn)|journal=Topology|date=1978|volume=17|issue=3|pages=273–282|doi=10.1016/0040-9383(78)90031-9}}</ref> 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 <ref>{{cite journal|last1=Farrell|first1=F.T.|last2=Jones|first2=L.E.|title=Isomorphism Conjectures in Algebraic K-Theory|date=Apr., 1993|volume=2|issue=6|pages=249–297|doi=10.2307/2152801|url=http://www.jstor.org/stable/2152801}}</ref>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<ref>{{cite journal|last1=Davis|first1=James|title=The Work of Tom Farrell and Lowell Jones in Topology and Geometry|journal=Pure and Applied Mathematics Quarterly|date=2012|volume=8|issue=1|pages=1–14|url=http://arxiv.org/abs/1006.1489v2}}</ref>
Jones, and Farrell published about fifty papers during their 25 year collaboration<ref>{{cite journal|last1=Davis|first1=James|title=The Work of Tom Farrell and Lowell Jones in Topology and Geometry|journal=Pure and Applied Mathematics Quarterly|date=2012|volume=8|issue=1|pages=1–14|url=http://arxiv.org/abs/1006.1489v2}}</ref>
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[[Category:Living people]]
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{{Uncategorized stub|date=December 2015}}
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Revision as of 12:01, 22 December 2015

Lowell E. Jones
Born1945
USA
Alma materYale University
Known forFarrell–Jones conjecture
Scientific career
FieldsGeometry, Topology,
InstitutionsStony Brook University
Doctoral advisorWu 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

  1. ^ "Stony Brook Faculty page". Retrieved 20 December 2015.
  2. ^ "Mathematics Genealogy Project". Department of Mathematics North Dakota State University. Retrieved 20 December 2015.
  3. ^ Attention: This template ({{cite jstor}}) is deprecated. To cite the publication identified by jstor:1970734, please use {{cite journal}} with |jstor=1970734 instead.
  4. ^ 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.
  5. ^ Farrell, F.T.; Jones, L.E. (Apr., 1993). "Isomorphism Conjectures in Algebraic K-Theory". 2 (6): 249–297. doi:10.2307/2152801. {{cite journal}}: Check date values in: |date= (help); Cite journal requires |journal= (help)
  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.
  7. ^ "Speakers at the ICM". Retrieved 21 December 2015.


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