亨里克·伊万涅茨1947—

生平

伊万涅茨1972年获华沙大学哲学博士学位，师从安杰伊·申策尔。1983年担任波兰科学院数学学部院士，之后离开波兰前往美国，历任普林斯顿高等研究院、密歇根大学、科罗拉多大学波德分校和罗格斯大学数学教授。

伊万涅茨的研究方向是筛法和深度复分析技术，主攻自守形式和调和分析理论。

1997年，伊万涅茨与约翰·弗里德兰德共同证明了a2 + b4形式素数的无限存在。此前，学界普遍认为这种强度的结果很难找到，而伊万涅茨与弗里德兰德结合筛法及其他理论，一般不能分辨出素数和半素数。

2001年，伊万涅茨获得第7个奥斯特罗夫斯基奖。颁奖词写道：“伊万涅茨研究的特点是对问题的难点有深度、深刻的理解，以及难以超越的技术。他对解析数论，尤其采用一般线性群(2)和筛论的模形式。”

荣誉

1995年入选美国文理科学院院士，2002年获得第14个柯尔奖数论奖。2006年入选美国国家科学院。2011年获勒罗伊·斯蒂尔奖数学解释奖。2012年入选美国数学学会会士。2015年获邵逸夫奖数学奖。2017年凭借与约翰·弗里德兰德合著的筛法著作《Opera de Cribro》获美国数学学会杜布奖。

Henryk Iwaniec (born October 9, 1947) is a Polish-American mathematician and New Jersey Professor Emeritus of Mathematics at Rutgers University. He is a member of the American Academy of Arts and Sciences and the 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 New Jersey Professor of Mathematics at Rutgers University in 1987. He is a citizen of both Poland and the United States.

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 a2 + b4. Results of this strength had previously been seen as 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 n²+1 with at most two prime factors.

In 2001, Iwaniec was awarded the seventh 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."

Awards and honors

He became a fellow of the American Academy of Arts and Sciences in 1995. In 1996, Iwaniec received the Sierpiński Medal conferred jointly by the Polish Mathematical Society and the University of Warsaw. 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. In 2015 he was awarded the Shaw Prize in Mathematics. In 2017, he was awarded the AMS Doob Prize (jointly with John Friedlander) for their book Opera de Cribro, which is about sieve theory.