Enrico Bombieri
Enrico Bombieri (* November 26, 1940 in Milan ) is an Italian mathematician. He works at the Institute for Advanced Study in Princeton, New Jersey. He is known for his work in the fields of number theory, algebraic geometry, calculus and group theory.
In 1974, he was charged with the Fields Medal awards ( Plenary Lecture: Variational problems and elliptic equations ).
Life
Bombieri studied in Milan, where he received his doctorate in 1963, and in Cambridge at Harold Davenport. He taught from 1966 at the Scuola Normale Superiore di Pisa and Sassari, before he went to the Institute for Advanced Study at Princeton in 1977 in the U.S., where he is currently " IBM John von Neumann " Professor of Mathematics. Since 1996 he is member of the National Academy of Sciences of the United States, the American Academy of Arts and Sciences, and since 1980 member of the French Academy of Sciences and the Accademia dei Lincei, member of the Swedish Academy of Sciences and the Academia Europaea. In 2002 he was Cavaliere di Gran Croce al Merito della Republica.
Work
The Bombieri 's theorem (or " Bombieri's mean value theorem " or " Bombieri - Vinogradov theorem ", by Askold Ivanovich Vinogradov and Bombieri ) is an extension of the Dirichlet prime number theorem on primes in arithmetic progressions. It was found by him through an application of the more developed of him "big screen " in analytic number theory (originally by Yuri Linnik and Rényi Alfréd ).
From the mid- 1960s, he turned to the theory of minimal surfaces, or more generally minimal submanifolds in higher dimensional Euclidean spaces, partly in collaboration with Ennio de Giorgi and Giusti, Enrico. 1969 he showed that in contrast to lower dimensions from 8 dimension minimum energy surfaces (i.e., having a dimension less than the space dimension) are of substantially singularities. In this connection, he also solved a problem of Sergei Bernstein of 1914. This showed that minimal hypersurfaces of the three-dimensional space that can be represented by a real function on a two-dimensional area, flat. Bombieri showed that the analogous conjecture in dimensions 9 no longer applies.
In algebraic geometry, he dealt with the classification of algebraic surfaces in characteristic p, where it partially worked with David Mumford.
He also dealt ( Inventiones Mathematicae 1967/1968 ) with the local shape of the Bieberbach conjecture for simple functions in the unit circle.
For the book Heights in Diophantine Geometry with Walter Gubler, he received the 2008 Joseph L. Doob Prize of the American Mathematical Society.
Awards
In addition to the Fields Medal in 1976, he received the Antonio Feltrinelli Prize - 1980 the Balzan Prize for mathematics and 2010 he was awarded the King Faisal International Prize awarded jointly with Terence Tao. In 1966 he was awarded the Premio Caccioppoli. He is a member of the Accademia Nazionale delle Scienze.