Polish-American mathematician (born 1947)
Henryk Iwaniec (born October 9, 1947) is a Polish-American mathematician, and since 1987 a professor at Rutgers University . He is a member of the American Academy of Arts and Sciences and Polish Academy of Sciences . He has made important contributions to analytic and algebraic number theory as well as harmonic analysis . He is the recipient of Cole Prize (2002), Steele Prize (2011), and Shaw Prize (2015).
Background and education
Iwaniec studied at the University of Warsaw , where he got his PhD 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 Boulder before being appointed Professor of Mathematics at Rutgers University . He is a citizen of both Poland and the United States.[ 1]
He and mathematician Tadeusz Iwaniec are twin brothers.
Work
Iwaniec studies both sieve methods and deep complex-analytic techniques , with an emphasis on the theory of automorphic forms and harmonic analysis .
In 1997, Iwaniec and John Friedlander proved that there are infinitely many prime numbers of the form a 2 + b 4 [ 2] [ 3] completely out of reach : sieve theory—used by Iwaniec and Friedlander in combination with other techniques—cannot usually distinguish between primes and products of two primes , say. He also showed that there are infinitely many numbers of the form
n
2
+
1
{\displaystyle n^{2}+1}
[ 4]
In 2001, Iwaniec was awarded the seventh Ostrowski Prize .[ 5] analytic number theory , mainly in modular forms on GL sieve methods ."[ 5]
Awards and honors
He became a fellow of the American Academy of Arts and Sciences in 1995. He was awarded the fourteenth Frank Nelson Cole Prize in Number Theory in 2002. In 2006, he became a member of the National Academy of Science. He received the Leroy P. Steele Prize for Mathematical Exposition in 2011. In 2012, he became a fellow of the American Mathematical Society .[ 6] Shaw Prize in Mathematics.[ 7] AMS Doob Prize (jointly with John Friedlander) for their book Opera de Cribro , which is about sieve theory .
Publications
Iwaniec, Henryk (1997). Topics in Classical Automorphic Forms ISBN 978-0-8218-0777-4 [ 8] Iwaniec, Henryk (2002). Spectral Methods of Automorphic Forms ISBN 978-0-8218-3160-1 Iwaniec, Henryk; Emmanuel Kowalski (2004). Analytic Number Theory ISBN 978-0-8218-3633-0 [ 9] Iwaniec, Henryk; J. B. Friedlander ; D. R. Heath-Brown ; J. Kaczorowski (2006). Analytic Number Theory: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 11–18, 2002 ISBN 978-3-540-36363-7 Friedlander, John ; Iwaniec, Henryk (2010). Opera de Cribro ISBN 978-0-8218-4970-5 [ 10] Iwaniec, Henryk (2014). Lectures on the Riemann zeta function ISBN 978-1-4704-1851-9 [ 11]
See also
References
^
"2002 Cole Prize in Number Theory" (PDF) . Notices of the American Mathematical Society . 49 (4). Providence: American Mathematical Society: 476– 478. April 2002. ISSN 0002-9920 .
^ Friedlander, John; Iwaniec, Henryk (1997). "Using a parity-sensitive sieve to count prime values of a polynomial" . PNAS 94 (4): 1054– 1058. Bibcode :1997PNAS...94.1054F . doi :10.1073/pnas.94.4.1054 MR 0432648 . PMC 19742 PMID 11038598 . ^ Friedlander, John; Iwaniec, Henryk (1998). "The polynomial X 2 + Y 4 captures its primes" (PDF) . Annals of Mathematics . 148 (3): 945– 1040. arXiv :math/9811185 Bibcode :1998math.....11185F . doi :10.2307/121034 . JSTOR 121034 . MR 1670065 . S2CID 1187277 . ^ Iwaniec, Henryk (1978). "Almost-primes represented by quadratic polynomials". Inventiones Mathematicae . 47 (2): 171– 188. Bibcode :1978InMat..47..171I . doi :10.1007/BF01578070 . ISSN 0020-9910 . S2CID 122656097 . ^ a b "Iwaniec, Sarnak, and Taylor Receive Ostrowski Prize" ^ List of Fellows of the American Mathematical Society , retrieved January 26, 2013.^ "Shaw Prize 2015" . Archived from the original on October 21, 2019. Retrieved June 1, 2015 .^ Rogawski, Jonathan D. (1998). "Book Review: Automorphic forms on
S
L
2
(
R
)
{\displaystyle SL_{2}(\mathbf {R} )}
by A. Borel, Automorphic forms and representations by D. Bump, and Topics in classical automorphic forms by H. Iwaniec" . Bulletin of the American Mathematical Society . 35 (3): 253– 263. doi :10.1090/S0273-0979-98-00756-3 ISSN 0273-0979 . ^ Zaharescu, Alexandru (2006). "Book Review: Analytic number theory " . Bulletin of the American Mathematical Society . 43 (2): 273– 278. doi :10.1090/S0273-0979-06-01084-6 ISSN 0273-0979 .^ Thorne, Frank (2012). "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" . Bulletin of the American Mathematical Society . 50 (2): 359– 366. doi :10.1090/S0273-0979-2012-01390-3 ISSN 0273-0979 . ^ Conrey, Brian (2016). "Book Review: Lectures on the Riemann zeta function " . Bulletin of the American Mathematical Society . 53 (3): 507– 512. doi :10.1090/bull/1525 ISSN 0273-0979 .
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