{{Use mdy dates|date=October 2023}} {{short description|Canadian mathematician}} {{Infobox scientist |name = John Benjamin Friedlander |image = John_Friedlander_at_Oberwolfach_2008.jpg |caption = Friedlander in 2008 |birth_date = |birth_place = |death_date = |death_place = |residence = |citizenship = Canadian |nationality = |ethnicity = |fields = Mathematics |workplaces = Institute for Advanced Study<br>MIT<br>University of Toronto |alma_mater = University of Toronto, University of Waterloo, Pennsylvania State University |doctoral_advisor = Sarvadaman Chowla |academic_advisors = |doctoral_students = Cem Yıldırım |notable_students = |known_for = Analytic number theory<br>Bombieri–Friedlander–Iwaniec theorem |author_abbrev_bot = |author_abbrev_zoo = |influences = |influenced = |awards = Fellow of the Royal Society of Canada, Jeffery–Williams Prize, [https://www.ams.org/profession/fellows-list Fellow of American Mathematical Society], 2012 |religion = |signature = <!--(filename only)--> |footnotes = }} '''John Friedlander''' {{post-nominals|country=CAN|FRSC}} is a Canadian mathematician specializing in analytic number theory. He received his B.Sc. from the University of Toronto in 1965, an M.A. from the University of Waterloo in 1966, and a Ph.D. from Pennsylvania State University in 1972. He was a lecturer at M.I.T. in 1974–76, and has been on the faculty of the University of Toronto since 1977, where he served as Chair during 1987–91. He has also spent several years at the Institute for Advanced Study. In addition to his individual work, he has been notable for his collaborations with other well-known number theorists, including Enrico Bombieri, William Duke, Andrew Granville, and especially Henryk Iwaniec.<ref>{{cite web |title=John B. Friedlander (Toronto) |url=http://crm.math.ca/prix/prixCRMFieldsPIMS/prix_CFPFriedlander_an.shtml |publisher=Centre de recherches mathématiques |access-date=December 5, 2021}}</ref>
In 1997, in joint work with Henryk Iwaniec, Friedlander proved that infinitely many prime numbers can be obtained as the sum of a square and fourth power: {{math|1=''a''<sup>2</sup> + ''b''<sup>4</sup>}}.<ref>{{cite journal|last = Friedlander|first = John|author2=Iwaniec, Henryk|title = The polynomial ''X''<sup>2</sup> + ''Y''<sup>4</sup> captures its primes|journal = Annals of Mathematics|volume = 148|year = 1998|pages = 945–1040|url = http://www.emis.de/journals/Annals/148_3/fried1.pdf|doi = 10.2307/121034|jstor = 121034|issue = 3|arxiv = math/9811185|s2cid = 1187277}}</ref><ref>{{Cite journal |last1=Friedlander |first1=John |last2=Iwaniec |first2=Henryk |year=1997 |title=Using a parity-sensitive sieve to count prime values of a polynomial |journal=PNAS |volume=94 |issue=4 |pages=1054–1058 |doi=10.1073/pnas.94.4.1054 |pmid=11038598 |pmc=19742|bibcode=1997PNAS...94.1054F |doi-access=free }}.</ref> Friedlander and Iwaniec improved Enrico Bombieri's "asymptotic sieve" technique to construct their proof.<ref>[https://www.ams.org/ams/press/prime1.html International Team Shows that Primes Can Be Found in Surprising Places]</ref>
==Awards and honors== * In 1999, Friedlander received the Jeffery–Williams Prize. * In 1988, Friedlander became a fellow of the Royal Society of Canada.<ref>[http://rsc-src.ca/en/search-fellows Search Royal Society of Canada Fellows] {{Webarchive|url=https://web.archive.org/web/20200204103715/https://rsc-src.ca/en/search-fellows |date=February 4, 2020 }}, retrieved 2013-01-2013.</ref> * In 2002, CRM-Fields-PIMS prize * In 2012, he became a fellow of the American Mathematical Society.<ref name="American Mathematical Society 2018 u222">{{cite web | title=Fellows of the American Mathematical Society | website=American Mathematical Society | date=November 26, 2018 | url=https://www.ams.org/cgi-bin/fellows/fellows.cgi | access-date=October 14, 2023}}</ref> * In 2017, he received the Joseph L. Doob prize, jointly with Henryk Iwaniec, for their book ''Opera de Cribro''.<ref name="American Mathematical Society 2018 t179">{{cite web | title=Joseph L. Doob Prize | website=American Mathematical Society | date=November 26, 2018 | url=http://www.ams.org/prizes-awards/paview.cgi?parent_id=21 | access-date=October 14, 2023}}</ref>
== Selected publications == * {{cite book | last1 = Friedlander | first1 = John | last2= Iwaniec | first2 = Henryk | author2-link = Henryk Iwaniec | title = Opera de Cribro | publisher = American Mathematical Society | location = Providence | year = 2010 | isbn = 978-0-8218-4970-5 | url = https://books.google.com/books?id=GJSKAwAAQBAJ}}<ref name="Thorne2012">{{cite journal|last1=Thorne|first1=Frank|title=Book Review: ''An introduction to sieve methods and their applications'' by Alina Carmen Cojocaru and M. Ram Murty and ''Opera de cribro'' by John Friedlander and Henryk Iwaniec|journal=Bulletin of the American Mathematical Society|volume=50|issue=2|year=2012|pages=359–366|issn=0273-0979|doi=10.1090/S0273-0979-2012-01390-3|doi-access=free}}</ref><ref>{{cite web|author=Stenger, Allen|date=August 16, 2010|title=Review of ''Opera de Cribro'' by John Friedlander and Henry Iwaniec|website=MAA Reviews, Mathematical Association of America|url=https://www.maa.org/press/maa-reviews/opera-de-cribro}}</ref>
==See also== * List of University of Waterloo people
==References== {{reflist}}
==External links== *{{MathGenealogy |id=17254}} * [https://web.archive.org/web/20121127161936/http://focus.library.utoronto.ca/people/21 John Friedlander's] profile in Toronto's [http://focus.library.utoronto.ca/ Focus on Research]. * [http://archive.numdam.org/ARCHIVE/ASNSP/ASNSP_1978_4_5_4/ASNSP_1978_4_5_4_719_0/ASNSP_1978_4_5_4_719_0.pdf On Bombieri's asymptotic sieve]
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{{DEFAULTSORT:Friedlander, John}} Category:Living people Category:Year of birth missing (living people) Category:Canadian mathematicians Category:University of Toronto alumni Category:Academic staff of the University of Toronto Scarborough Category:Number theorists Category:Fellows of the American Mathematical Society Category:University of Waterloo alumni Category:Mathematicians of the University of Toronto