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==Education and Career==
==Education and Career==
Jones received his Ph.D. from Yale University in 1970 under the guidance of Wu-Chung Hsiang.<ref>{{cite web|title=Mathematics Genealogy Project|url=http://genealogy.math.ndsu.nodak.edu/id.php?id=8429|publisher=Department of Mathematics North Dakota State University|accessdate=20 December 2015}}</ref> Jones' dissertation topic, assigned by Hsiang,<ref>{{Cite jstor|1970734}}</ref> concerned the fixed-point theorem
Jones received his Ph.D. from Yale University in 1970 under the guidance of Wu-Chung Hsiang.<ref>{{cite web|title=Mathematics Genealogy Project|url=http://genealogy.math.ndsu.nodak.edu/id.php?id=8429|publisher=Department of Mathematics North Dakota State University|accessdate=20 December 2015}}</ref> Jones' dissertation topic, assigned by Hsiang,<ref>{{Cite journal|jstor=1970734}}</ref> concerned the fixed-point theorem


Jones joined the Stony Brook University in 1975.
Jones joined the Stony Brook University in 1975.


==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>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|journal=Journal of the American Mathematical Society|date=Apr., 1993|volume=2|issue=6|pages=249–297|doi=10.2307/2152801|jstor=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|arxiv=1006.1489v2}}</ref>


Jones was invited to speak at the 1990 [[International Congress of Mathematicians]] in Kyoto.<ref>{{cite web|title=Speakers at the ICM|url=http://www.mathunion.org/db/ICM/Speakers/SortedByCongress.php|accessdate=21 December 2015}}</ref>
Jones was invited to speak at the 1990 [[International Congress of Mathematicians]] in Kyoto.<ref>{{cite web|title=Speakers at the ICM|url=http://www.mathunion.org/db/ICM/Speakers/SortedByCongress.php|accessdate=21 December 2015}}</ref>

Revision as of 15:15, 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. ^ . JSTOR 1970734. {{cite journal}}: Cite journal requires |journal= (help); Missing or empty |title= (help)
  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". Journal of the American Mathematical Society. 2 (6): 249–297. doi:10.2307/2152801. JSTOR 2152801. {{cite journal}}: Check date values in: |date= (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. arXiv:1006.1489v2.
  7. ^ "Speakers at the ICM". Retrieved 21 December 2015.


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