Henryk Iwaniec

Infobox Scientist
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name = Henryk Iwaniec


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birth_date = birth date and age|1947|10|9|mf=yes
birth_place = Elblag, Poland
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residence = United States
citizenship = United States
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fields = Mathematician
workplaces = Polish Academy of Sciences
Institute for Advanced Study
Rutgers University
alma_mater = University of Warsaw
doctoral_advisor = Andrzej Schinzel
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notable_students =
known_for = analytic number theory
Bombieri–Friedlander–Iwaniec theorem
automorphic forms
Sieve theory
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awards = Cole Prize
Ostrowski Prize
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Henryk Iwaniec (*October 9, 1947 in Elblag) is a Polish- US-american mathematician, and since 1987 a professor at Rutgers University. He was awarded the fourteenth Frank Nelson Cole Prize in Number Theory in 2002.

Background and education

Iwaniec was born October 9, 1947 in Elblag, Poland. studied at the University of Warsaw, where he got his Ph.D. in 1972 under Andrzej Schinzel. He then held positions at the Institute of Mathematics of the Polish Academy of Sciences until 1983 when he left Poland. He held visiting positions at the Institute for Advanced Study, University of Michigan, and University of Colorado at Boulder before being appointed Professor of Mathematics at Rutgers University. He is a citizen of the United States.cite journal
year = 2002
month = April
title = 2002 Cole Prize in Number Theory
journal = Notices of the American Mathematical Society
volume = 49
issue = 4
pages = 476–478
publisher = American Mathematical Society
location = Providence
issn = 0002-9920
url = http://www.ams.org/notices/200204/comm-coleprz.pdf ]

Work

In 1997, Iwaniec and John Friedlander proved that there are infinitely many prime numbers of the form $a^2\; +\; b^4$. [http://www.ams.org/ams/mathnews/prime.html "Primes in Surprising Places"] ] To accomplish this, Iwaniec and Friedlander had to develop an "astonishing" new theory of prime numbers, applying the asymptotic sieve to the problem of the distribution of prime numbers for the first time. This result is sometimes known as the Bombieri–Friedlander–Iwaniec theorem.D. van Golstein Brouwers, J. Bamberg, G. Cairns, "Totally Goldbach numbers and related conjectures". Australian Mathematical Society Gazette. Vol 31(4) (2004), p. 254. [http://www.austms.org.au/Publ/Gazette/2004/Sep04/Sep04.pdf Online version] ]

In 2001 Iwaniec was awarded the seventh Ostrowski Prize. [http://www.ams.org/notices/200207/comm-ostrowski.pdf "Iwaniec, Sarnak, and Taylor Receive Ostrowski Prize"] ] The prize citation read, in part, "Iwaniec's work is characterized by depth, profound understanding of the difficulties of a problem, and unsurpassed technique. He has made deep contributions to the field of analytic number theory, mainly in modular forms on "GL"(2) and sieve methods."

Publications

*
*cite book | last = Iwaniec | first = Henryk | title = Spectral Methods of Automorphic Forms | edition = 2nd edition | publisher = American Mathematical Society | location = Providence | year = 2002 | isbn = 9780821831601
*cite book | last = Iwaniec | first = Henryk | coauthors=Emmanuel Kowalski | title = Analytic Number Theory | publisher = American Mathematical Society | location = Providence | year = 2004 | isbn = 9780821836330
*cite book | last = Iwaniec | first = Henryk |coauthors= J. B. Friedlander, D. R. Heath-Brown, J. Kaczorowski | title = Analytic Number Theory: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 11-18, 2002 | publisher = Springer | location = Berlin | year = 2006 | isbn = 9783540363637

References

External links

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* [http://www.pnas.org/content/vol94/issue4/ Iwaniec and Friedlander's paper about the parity-sensitive asymptotic sieve]
* [http://www.sciencemag.org/cgi/content/full/279/5347/31 "Sieving Prime Numbers From Thin Ore"] . Barry Cipra, "Science" magazine. Vol. 279. no. 5347, p. 31.