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{{short description|American mathematician}}
{{Infobox scientist
{{Infobox scientist
| name = Lowell E. Jones
| name = Lowell E. Jones
| image =
| image =
| image_size =
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| birth_date = 1945
| birth_date = 1945
| birth_place = United States
| birth_place = United States
| death_date =
| death_date =
| death_place =
| death_place =
| citizenship =
| residence = [[Port Jefferson, NY]], United States
| citizenship =
| nationality =
⚫
| fields = [[Geometry]], [[Topology]]
| nationality =
| workplaces = [[Stony Brook University]]
⚫
| fields = [[Geometry]], [[Topology]]
| workplaces = [[Stony Brook University]]
| alma_mater = [[Yale University]]
| alma_mater = [[Yale University]]
| doctoral_advisor = [[Wu-Chung Hsiang]]
| doctoral_advisor = [[Wu-Chung Hsiang]]
| academic_advisors =
| academic_advisors =
| doctoral_students =
| doctoral_students = [[Pedro Ontaneda]]
| notable_students =
| notable_students =
| known_for = [[Farrell–Jones conjecture]]
| known_for = [[Farrell–Jones conjecture]]
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'''Lowell Jones''' (born 1945) is an American professor of mathematics at [[Stony Brook University]]<ref>{{cite web|title=Stony Brook Faculty page|url=http://www.math.stonybrook.edu/cards/joneslowell.html|accessdate=20 December 2015}}</ref>. 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]].
'''Lowell Edwin Jones''' (born 1945) is an American professor of mathematics at [[Stony Brook University]].<ref>{{cite web|title=Stony Brook Faculty page|url=http://www.math.stonybrook.edu/cards/joneslowell.html|accessdate=20 December 2015}}</ref> 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|Farrell-Jones conjecture]].


==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 journal|jstor=1970734|doi=10.1090/S0002-9904-1972-12934-3 |url=http://www.ams.org/journals/bull/1972-78-02/S0002-9904-1972-12934-3/S0002-9904-1972-12934-3.pdf|title=The converse to the fixed point theorem of P. A. Smith |journal=[[Bulletin of the American Mathematical Society]] |volume=78 |issue=2 |pages=234–236 |year=1972 |last1=Jones |first1=Lowell }}</ref> concerned the fixed-point theorem of [[Paul Althaus Smith]].
Jones received his [[Ph.D.]] from [[Yale University]] in 1970 under the guidance of [[Wu-Chung Hsiang]].<ref>{{MathGenealogy|id=8429}}</ref> Jones' dissertation topic, assigned by Hsiang,<ref>{{Cite journal|jstor=1970734|doi=10.1090/S0002-9904-1972-12934-3 |url=https://www.ams.org/journals/bull/1972-78-02/S0002-9904-1972-12934-3/S0002-9904-1972-12934-3.pdf|title=The converse to the fixed point theorem of P. A. Smith |journal=[[Bulletin of the American Mathematical Society]] |volume=78 |issue=2 |pages=234–236 |year=1972 |last=Jones |first=Lowell|doi-access=free }}</ref> concerned the fixed-point theorem of [[Paul Althaus Smith]].


Jones joined Stony Brook University in 1975.
Jones joined 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 [[Glossary of Riemannian and metric geometry#I|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> implies the Borel Conjecture for manifolds of dimension 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 [[Glossary of Riemannian and metric geometry#I|infranil]].<ref>{{cite journal|last1=Farrell|first1=F. Thomas|author1-link=F. Thomas Farrell|last2=Jones|first2=Lowell E.|title=Anosov diffeomorphisms constructed from π1 Diff (Sn)|journal=[[Topology (journal)|Topology]]|date=1978|volume=17|issue=3|pages=273–282|doi=10.1016/0040-9383(78)90031-9|doi-access=free}}</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. Thomas|author1-link=F. Thomas Farrell|last2=Jones|first2=Lowell 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> implies the Borel Conjecture for manifolds of dimension 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|arxiv=1006.1489|bibcode=2010arXiv1006.1489D|doi=10.4310/PAMQ.2012.v8.n1.a3}}</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|arxiv=1006.1489|bibcode=2010arXiv1006.1489D|doi=10.4310/PAMQ.2012.v8.n1.a3|s2cid=55560396 }}</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>
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[[Category:Mathematicians from New York (state)]]
[[Category:Mathematicians from New York (state)]]
[[Category:20th-century American mathematicians]]
[[Category:20th-century American mathematicians]]
[[Category:Topologists]]
[[Category:American topologists]]
[[Category:American geometers]]


{{US-mathematician-stub}}
{{US-mathematician-stub}}

Latest revision as of 11:27, 18 July 2024

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

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

[edit]

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

[edit]

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

[edit]
  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. S2CID 55560396.
  7. ^ "Speakers at the ICM". Retrieved 21 December 2015.
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