Henryk Iwaniec

Henryk Iwaniec ( born October 9, 1947 in Elblag in Poland ) is a Polish- American mathematician who deals with analytic number theory.

Life

Iwaniec studied at the University of Warsaw, where he late 1960s, won the Marcinkiewicz Prize twice. In 1971 he completed his studies and received his doctorate in the following year with Andrzej Schinzel. After that, he worked at the Institute of Mathematics of the Polish Academy of Sciences. In 1976 he habilitated. 1976/77 he was at the Scuola Normale Superiore in Pisa with a scholarship from the Accademia dei Lincei and 1979/80 at the University of Bordeaux. In 1983 he became a professor and corresponding member of the Polish Academy of Sciences. 1983/84 to 1986 he was at the Institute for Advanced Study (IAS ) in Princeton, and in 1984 at the University of Michigan in Ann Arbor as well as guest professor in Boulder. Since 1987 he is a professor at Rutgers University. 1999/2000 he was Visiting Professor at the IAS.

He is the twin brother of Tadeusz Iwaniec.

Work

Iwaniec are due to significant advances in analytic number theory. He proved in 1997 with John Friedlander of them by applying the refined asymptotic sieve by Enrico Bombieri, that there are infinitely many primes of the form ( natural numbers) - the set of Bombieri - Friedlander - Iwaniec. In the 19th century had one of the founders of analytic number theory, Peter Gustav Lejeune Dirichlet, have shown that there are infinitely many primes in linear sequences of the form ( relatively prime ), and also in other subsets of the natural numbers that are relatively " tight" ( ie in addition to many prime numbers composite numbers included), similar rates have been proved. In the problem studied by Iwaniec and Friedlander for the first time achieved a breakthrough at a relatively " thin " subset of the natural numbers.

Iwaniec also solved the problem of Yuri Linnik in the geometry of numbers, in which it is the uniform distribution of the grid points on two-dimensional spheres around the origin, if the radius increases. Another field of work of Iwaniec is the analytic theory of automorphic forms for linear group and its functions, in which he also partially worked with Friedlander and William Duke and Peter Sarnak.

With Jean -Marc Deshouillers 1982 he wrote an influential work on a generalization of the trace formula of Kuznetsov, connects the Kloosterman sums with sums over Fourier coefficients of modular forms. With Etienne Fouvry he used the method in 1983 to prove extending beyond the Bombieri - Vinogradov theorem theorem on primes in arithmetic progressions, which he exacerbated with Friedlander and Bombieri.

Honors, Other

In 1978 he was awarded the Polish State Prize and in 1996 the Sierpinski Medal. In 2001 he was awarded the Ostrowski Prize and the 2002 Cole Prize for number theory. In 1995, he was inducted into the American Academy of Arts and Sciences. 1978 ( Sieve methods ) and 1986 ( Spectral theory of automorphic functions and recent developments in analytic number theory ), he was invited speaker at the International Congress of Mathematicians (ICM ), where he gave a plenary lecture in 2006 (Prime Numbers and L -functions ). In 2011 he received the Leroy P. Steele Prize. He is a Fellow of the American Mathematical Society.

He is a citizen of the United States.

His doctoral include Emmanuel Kowalski and Étienne Fouvry.

Writings

• Topics in Classical Automorphic Forms. Oxford University Press, 1997.
• Spectral Methods of Automorphic Forms. Oxford University Press, 2nd edition, 2003.
• With Emmanuel Kowalski: Analytic Number Theory. AMS Colloquium Publications, 2004.