{{short description|American mathematician}} {{Infobox scientist | name = Lowell E. Jones | image = | image_size = | alt = | caption = | birth_date = 1945 | birth_place = United States | death_date = | death_place = | citizenship = | nationality = | fields = Geometry, Topology | workplaces = Stony Brook University | alma_mater = Yale University | doctoral_advisor = Wu-Chung Hsiang | academic_advisors = | doctoral_students = Pedro Ontaneda | notable_students = | known_for = Farrell–Jones conjecture | author_abbrev_bot = | author_abbrev_zoo = | influences = | influenced = | awards = | signature = | signature_alt = | footnotes = }}
'''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.
==Education and career== 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.
==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. Thomas|author1-link=F. Thomas Farrell|last2=Jones|first2=Lowell 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|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|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>
==References== {{reflist}}
{{Authority control}}
{{DEFAULTSORT:Jones, Lowell Edwin}} Category:1945 births Category:Living people Category:Stony Brook University faculty Category:Yale University alumni Category:People from Port Jefferson, New York Category:Mathematicians from New York (state) Category:20th-century American mathematicians Category:American topologists Category:American geometers {{US-mathematician-stub}}