|Name Enrico Bombieri|
Alma mater University of Milan
Doctoral advisor Giovanni Ricci
|Born 26 November 1940 (age 75) (1940-11-26) |
Institutions Institute for Advanced Study
Known for Large sieve method in analytic number theory Bombieri-Lang conjecture Bombieri norm Bombieri–Vinogradov theorem "Heights" in Diophantine geometry Siegel's lemma for bases (Bombieri–Vaaler) Partial differential equations Bombieri–Friedlander–Iwaniec theorem
Notable awards 1966, Caccioppoli Prize 1974, Fields Medal 1976, Feltrinelli Prize 1980, Balzan Prize 2006, Pythagoras Prize 2008, Joseph L. Doob Prize 2010, King Faisal International Prize
Books Heights in Diophantine Geometry. New Mathematical Monographs, Heights in Diophantine Geometry ICM Edition
Education University of Milan, Trinity College, Cambridge
Awards Fields Medal, Caccioppoli Prize, Balzan Prize for Mathematical and physical sciences
Similar People Henryk Iwaniec, Harold Davenport, Ennio de Giorgi, Daniel Goldston, Enrico Giusti
The mathematical truth enrico bombieri
Enrico Bombieri (born 26 November 1940 in Milan, Italy) is a mathematician, known for his work in analytic number theory, algebraic geometry, univalent functions, theory of several complex variables, partial differential equations of minimal surfaces, and the theory of finite groups. He won a Fields Medal in 1974.
Beauty in mathematics enrico bombieri
Bombieri published his first mathematical paper in 1957 when he was 16 years old. In 1963 at age 22 he earned his first degree (Laurea) in mathematics from the Università degli Studi di Milano under the supervision of Giovanni Ricci and then studied at Trinity College, Cambridge with Harold Davenport.
Bombieri was an assistant professor (1963–1965) and then a full professor (1965–1966) at the Università di Cagliari, at the Università di Pisa in 1966–1974, and then at the Scuola Normale Superiore di Pisa in 1974–1977. From Pisa he emigrated in 1977 to the USA, where he became a professor at the School of Mathematics at the Institute for Advanced Study in Princeton, New Jersey. In 2011 he became professor emeritus.
Bombieri's research in number theory, algebraic geometry, and mathematical analysis have earned him many international prizes — a Fields Medal in 1974 and the Balzan Prize in 1980. In 2010 he received the King Faisal International Prize (jointly with Terence Tao). He was a plenary speaker at the International Congress of Mathematicians in 1974 at Vancouver. He is a member, or foreign member, of several learned academies, including the French Academy of Sciences (elected 1984), the United States National Academy of Sciences (elected 1996), and the Accademia Nazionale dei Lincei (elected 1976). In 2002 he was made Cavaliere di Gran Croce al Merito della Repubblica Italiana.
The Bombieri–Vinogradov theorem is one of the major applications of the large sieve method. It improves Dirichlet's theorem on prime numbers in arithmetic progressions, by showing that by averaging over the modulus over a range, the mean error is much less than can be proved in a given case. This result can sometimes substitute for the still-unproved generalized Riemann hypothesis.
In 1969 Bombieri, De Giorgi, and Giusti solved Bernstein's problem.
In 1976, Bombieri developed the technique known as the "asymptotic sieve". In 1980 he supplied the completion of the proof of the uniqueness of finite groups of Ree type in characteristic 3; at the time of its publication it was one of the missing steps in the classification of finite simple groups.
Bombieri is also known for his pro bono service on behalf of the mathematics profession, e.g. for serving on external review boards and for peer-reviewing extraordinarily complicated manuscripts (like the paper of Per Enflo on the invariant subspace problem).
Bombieri, accomplished also in the arts, explored for wild orchids and other plants as a hobby in the Alps when a young man.
With his powder-blue shirt open at the neck, khaki pants and running shoes, he might pass for an Italian film director at Cannes. Married with a grown daughter, he is a gourmet cook and a serious painter: He carries his paints and brushes with him whenever he travels. Still, mathematics never seems far from his mind. In a recent painting, Bombieri, a one-time member of the Cambridge University chess team, depicts a giant chessboard by a lake. He's placed the pieces to reflect a critical point in the historic match in which IBM's chess-playing computers, Deep Blue, beat Garry Kasparov.