Enrico Bombieri

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"Bombieri" redirects here. For the theorem, see Bombieri–Vinogradov theorem.

Enrico Bombieri
King Faisal International Prize
2020, Crafoord Prize
Scientific career
FieldsMathematics
InstitutionsInstitute for Advanced Study
Doctoral advisorGiovanni Ricci
Doctoral studentsUmberto Zannier

Enrico Bombieri (born 26 November 1940) is an Italian mathematician, known for his work in analytic number theory, Diophantine geometry, complex analysis, and group theory.[5] Bombieri is currently Professor Emeritus in the School of Mathematics at the Institute for Advanced Study in Princeton, New Jersey.[6] Bombieri won the Fields Medal in 1974[5] for his contributions to large sieve mathematics,[7] conceptualized by Linnick 1941,[8][9] and its application to the distribution of prime numbers.[7]

Career

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 Pisa in 1966–1974, and then at the Scuola Normale Superiore di Pisa in 1974–1977. From Pisa, he emigrated in 1977 to the United States, 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 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).[10]

Research

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.[11]

In 1976, Bombieri developed the technique known as the "asymptotic sieve".[12] 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.[13]

Awards

Bombieri's research in

King Faisal International Prize (jointly with Terence Tao).[16][17] and in 2020 he was awarded the Crafoord Prize in Mathematics.[18]

Other interests

Bombieri, accomplished also in the arts, explored for wild orchids and other plants as a hobby in the Alps when a young man.[19]

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.[20]

Selected publications

Sole

  • E. Bombieri, Le Grand Crible dans la Théorie Analytique des Nombres (Seconde Édition). Astérisque 18, Paris 1987.

Joint

See also

References

  1. ^ "Site of Caccioppoli Prize". Archived from the original on 14 May 2019. Retrieved 31 December 2011.
  2. ^ Premio Pitagora 2006 (in Italian)
  3. ^ "Joseph L. Doob Prize".
  4. ^ "2008 Doob Prize" (PDF). Notices of the AMS. 55 (4): 503–504. April 2008.
  5. ^ a b "Proceedings of the International Congress of Mathematicians, 1974" (PDF). Archived from the original (PDF) on 13 November 2013.
  6. ^ "Enrico Bombieri". Institute for Advanced Study. Retrieved 7 August 2019.
  7. ^ a b "Enrico Bombieri PROFESSOR EMERITUS School of Mathematics Number Theory". www.ias.edu (Institute for Advanced Study). 9 December 2019. Retrieved 2 July 2021.
  8. University of Lancaster
    ). Retrieved 2 July 2021.
  9. ISBN 9780521888516
    .
  10. ISSN 0001-5962
    .
  11. S2CID 59816096
  12. ^ E. Bombieri, "The asymptotic sieve", Mem. Acad. Naz. dei XL, 1/2 (1976) 243–269.
  13. S2CID 122867511. (This paper completed a line of research initiated by the Walter theorem
    .)
  14. Accademia dei Lincei
    (elected 1976)
  15. ^ Torno Armando (28 May 2002). "BOMBIERI Il re dei numeri che ha conquistato il mondo". Corriere della Sera (in Italian). p. 35.
  16. ^ King Faisal Foundation, – retrieved 2010-01-11.
  17. ^ "Bombieri and Tao Receive King Faisal Prize" (PDF). Notices of the AMS. 57 (5): 642–643. May 2010.
  18. ^ "Crafoord Prize 2020". 29 January 2020.
  19. ^ Bombieri – Mathematician retrieved 10 February 2020
  20. ^ Birch, Douglas (30 September 1998). "Lifelong pursuit of mathematical pursuit Professor: At 15, Enrico Bombieri picked up a book on number theory that introduced him to the fiendishly puzzling Riemann Hypothesis. He was hooked". The Baltimore Sun. Archived from the original on 29 October 2015. Retrieved 12 October 2015.

Sources

External links

Media related to Enrico Bombieri at Wikimedia Commons

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