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| {{Redirect3|Bombieri|It may also refer to the [[Bombieri–Vinogradov theorem]] or the [[Bombieri–Friedlander–Iwaniec theorem]].}}
| | Got nothing to say about me really.<br>Finally a part of this community.<br>I just wish I am useful at all<br><br>Here is my site: [http://Www.Sinusjo.com/index.php/2013-03-24-07-59-22/item/2-2013-03-24-09-43-00/2-2013-03-24-09-43-00?limitstart=0& How To Get Free Fifa 15 Coins] |
| {{BLP sources|date=February 2013}}
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| {{Infobox scientist
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| |name = Enrico Bombieri
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| |image =EnricoBombieri.jpg
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| |image_size =100px
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| |caption = Enrico Bombieri
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| |birth_date = {{birth date and age|1940|11|26|df=y}}
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| |birth_place =
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| |death_date =
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| |death_place =
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| |residence =
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| |citizenship =
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| |nationality = [[Italy|Italian]]
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| |ethnicity =
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| |field = [[Mathematics]]
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| |work_institutions = [[Institute for Advanced Study]]
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| |alma_mater = [[University of Milan]]
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| |doctoral_advisor = Giovanni Ricci
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| |doctoral_students =
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| |known_for = [[Large sieve method]] in [[analytic number theory]] <br /> [[Glossary of arithmetic and Diophantine geometry#B|Bombieri-Lang conjecture]]<br />
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| [[Bombieri norm]] <br /> [[Bombieri–Vinogradov theorem]] <br /> "[[Glossary of arithmetic and Diophantine geometry#H|Heights]]" in [[Diophantine geometry]] <br /> [[Siegel's lemma]] for bases (Bombieri–Vaaler) <br /> [[Partial differential equations]]
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| |author_abbrev_bot =
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| |author_abbrev_zoo =
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| |influences =
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| |influenced =
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| |prizes =1966, [[Caccioppoli Prize]]<ref>[http://umi.dm.unibo.it/caccioppoli/index-en.html Site of Caccioppoli Prize]</ref> <br /> 1974, [[Fields Medal]] <br /> 1976, [[Feltrinelli Prize]] <br /> 1980, [[Balzan Prize]] <br /> 2006, Pythagoras Prize<ref>[http://www.math.it/eventi/premiopitagora_06.htm Premio Pitagora 2006] {{it}}</ref> <br /> 2008, Joseph L. Doob Prize<ref>[http://www.ams.org/profession/prizes-awards/ams-prizes/doob-prize Joseph L. Doob Prize]</ref><ref>{{cite journal|title=2008 Doob Prize|journal=Notices of the AMS|date=April 2008|volume=55|issue=4|pages=503–504|url=http://www.ams.org/notices/200804/tx080400503p.pdf}}</ref> <br /> 2010, [[King Faisal International Prize]]
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| |footnotes =
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| |signature =
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| }}
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| '''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.<ref>[http://www.mathunion.org/ICM/ICM1974.1/ICM1974.1.ocr.pdf Proceedings of the International Congress of Mathematicians, 1974]</ref>
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| ==Career==
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| Bombieri published his first mathematical paper in 1957 when he was 16 years old. In 1963 at age 22 he earned his PhD (Laureato) 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]].
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| Bombieri was an assistant professor (1963–1965) and then a full professor (1965–1966) at the [[University of Cagliari|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.
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| 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]]).<ref>[http://www.kff.com/ King Faisal Foundation], - retrieved 2010-01-11.</ref><ref>{{cite journal|title=Bombieri and Tao Receive King Faisal Prize|journal=Notices of the AMS|date=May 2010|volume=57|issue=5|pages=642–643|url=http://www.ams.org/notices/201005/rtx100500642p.pdf}}</ref> 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).<ref>[http://www.lincei.it/modules.php?name=Soci&file=scheda&func=Soci_scheda&Id=438 Scheda socio], from the website of [[Accademia Nazionale dei Lincei|Accademia dei Lincei]] (elected 1976)</ref>
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| In 2002 he was made ''Cavaliere di Gran Croce al Merito della Repubblica Italiana''.<ref>{{cite news|author=Torno Armando|title=BOMBIERI Il re dei numeri che ha conquistato il mondo|newspaper=Corriere della Serra|date=28 May 2002|page=35|url=http://archiviostorico.corriere.it/2002/maggio/28/BOMBIERI_dei_numeri_che_conquistato_co_0_0205285644.shtml}} {{it}}</ref>
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| The [[Bombieri–Vinogradov theorem]] is one of the major applications of the [[large sieve method]]. It improves [[Dirichlet's theorem on arithmetic progressions|Dirichlet's theorem]] on [[prime number]]s in [[arithmetic progression]]s, 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]].
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| In 1969 Bombieri, [[Ennio de Giorgi|De Giorgi]], and [[Enrico Giusti|Giusti]] solved [[Bernstein's problem]].<ref>{{Citation | last1=Bombieri | first1=Enrico | last2=De Giorgi | first2=Ennio | last3=Giusti | first3=Enrico | title=Minimal cones and the Bernstein problem | doi=10.1007/BF01404309 | mr=0250205 | year=1969 | journal=[[Inventiones Mathematicae]] | issn=0020-9910 | volume=7 | pages=243–268}}</ref>
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| In 1976, Bombieri developed the technique known as the "asymptotic sieve".<ref name="asymp-sieve">E. Bombieri, "The asymptotic sieve", ''[[:it:Accademia Nazionale delle Scienze|Mem. Acad. Naz. dei XL]]'', 1/2 (1976) 243–269.</ref> 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 steps in the classification of finite simple groups.<ref>{{cite journal|author=Bombieri, E.|title=Thompson's problem σ<sup>2</sup>=3. Appendices by A. Odlyzko and D. Hunt|journal=Invent. Math.|volume=58|issue=1|year=1980|pages=77–100|url=http://link.springer.com/article/10.1007/BF01402275#page-1}} (This paper completed a line of research initiated by the [[Walter theorem]].)</ref>
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| 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 review|peer-reviewing]] extraordinarily complicated manuscripts (like the paper of [[Per Enflo]] on the [[invariant subspace problem]]).
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| Bombieri, accomplished also in the arts, explored for wild orchids and other plants as a hobby in the Alps when a young man.
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| ==See also==
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| *[[Bombieri norm]]
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| *[[Glossary of arithmetic and Diophantine geometry#B|Bombieri-Lang conjecture]]
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| *[[Bombieri–Vinogradov theorem]]
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| ==Notes==
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| {{reflist}}
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| ==References==
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| *{{cite journal|last = Bombieri|first = E.|coauthors = Mueller, J.|title = On effective measures of irrationality for <math>{\scriptscriptstyle\sqrt[r]{a/b}}</math> and related numbers|journal = Journal für die reine und angewandte Mathematik|volume = 342|year = 1983|pages = 173–196}}
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| *{{cite journal|last = Bombieri|first = E.|coauthors = Vaaler, J.|title = On Siegel's lemma|journal = Inventiones Mathematicae|volume = 73|issue = 1|date = Feb 1983|pages = 11–32|url = http://www.springerlink.com/content/k55042224131lp42|doi = 10.1007/BF01393823}}
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| * E. Bombieri, ''Le Grand Crible dans la Théorie Analytique des Nombres'' (Seconde Édition). Astérisque 18, Paris 1987.
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| * <!-- Bernard Beauzamy -->B. Beauzamy, E. Bombieri, [[Per Enflo|P. Enflo]] and [[Hugh Montgomery (mathematician)|H. L. Montgomery]]. "Product of polynomials in many variables", ''Journal of Number Theory'', pages 219–245, 1990.
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| *{{cite book|
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| author=Enrico Bombieri and Walter Gubler
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| |title=Heights in Diophantine Geometry
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| |publisher=Cambridge U. P.
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| |year=2006}}
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| <!-- *{{cite book
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| |author=[[Donald E. Knuth|Knuth, Donald E]]
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| |chapter=4.6.2 [[Polynomial factorization|Factorization of Polynomials]]
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| |title=Seminumerical Algorithms
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| |series=[[The Art of Computer Programming]]
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| |volume=2
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| |edition=Third
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| |location=Reading, Massachusetts
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| |publisher=Addison-Wesley
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| |year=1997
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| |pages=439--461, 678–691 xiv+762
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| |isbn=0-201-89684-2}} -->
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| ==External links==
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| *{{MathGenealogy |id=72210}}
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| *{{MacTutor Biography|id=Bombieri}}
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| *[http://www.ias.edu/people/faculty-and-emeriti/bombieri Enrico Bombieri, Institute for Advanced Study]
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| *[http://www.unipi.it/ateneo/comunica/cerimonie/honoris/pubblicazioni.htm Lista delle pubblicazioni di Enrico Bombieri, University of Pisa]
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| {{Fields medalists}}
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| {{Authority control|GND=1026762502|LCCN=n/83/209328|VIAF=29604902|SELIBR=}}
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME = Bombieri, Enrico
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = Mathematician
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| | DATE OF BIRTH = 26 November 1940
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| | PLACE OF BIRTH = Milan, Italy
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| | DATE OF DEATH =
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| | PLACE OF DEATH =
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| }}
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| {{DEFAULTSORT:Bombieri, Enrico}}
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| [[Category:1940 births]]
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| [[Category:Living people]]
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| [[Category:Members of the United States National Academy of Sciences]]
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| [[Category:People from Milan]]
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| [[Category:Institute for Advanced Study faculty]]
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| [[Category:20th-century Italian mathematicians]]
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| [[Category:21st-century Italian mathematicians]]
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| [[Category:Fields Medalists]]
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| [[Category:Number theorists]]
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| [[Category:Members of the French Academy of Sciences]]
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| [[Category:PDE theorists]]
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