- Ben J. Green
Infobox Scientist

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name = Ben J. Green

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birth_date = birth date and age|1977|02|27

birth_place =Bristol ,England

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residence =Cambridge ,England

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nationality = British

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fields =Mathematician

workplaces =University of Bristol University of Cambridge

alma_mater =Trinity College, Cambridge

doctoral_advisor =Timothy Gowers

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awards =Clay Research Award (2004)Salem Prize (2005)SASTRA Ramanujan Prize (2007)

EMS Prize (2008)

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footnotes =**Ben Joseph Green**(bornFebruary 27 ,1977 ,Bristol ,England ) is a British mathematician, specializing incombinatorics andnumber theory .**Early years**Ben Green was born on

February 27 ,1977 inBristol ,England . He studied at local schools of Bristol.IMO in 1994 and 1995. He entered Trinity College,University of Cambridge in 1995 and completed his B.A. in mathematics in 1998. He was first class in all three years. He earned his doctorate under English mathematicianTimothy Gowers in 2003. His doctoral thesis was "Topics in arithmetic combinatorics". He was a research Fellow at Trinity College, Cambridge between 2001 and 2005. He became a Professor of Mathematics at theUniversity of Bristol from January 2005 to September 2006. In September 2006 he returned to Cambridge as the first Herchel Smith Professor of Pure Mathematics. He was also a Research Fellow of theClay Mathematics Institute and held various positions at institutes such asPrinceton University ,University of British Columbia , andMassachusetts Institute of Technology .**Mathematics**Green has published several important results in both

combinatorics andnumber theory . These include improving the estimate byJean Bourgain of the size ofarithmetic progression s insumset s, as well as a proof of theCameron–Erdős conjecture on sum-free sets ofnatural number s.His work in demonstrating that every set of primes of positive relative upper density contains an arithmetic progression of length three then led to his breakthrough 2004 work with mathematician

Terence Tao now known as theGreen–Tao theorem . This theorem showed that for all "n" there exist infinitely many arithmetic progressions of length "n" in theprime number s.**Awards and honors**Green received the

Clay Research Award in 2004 and theSalem Prize in 2005 for his contributions to combinatorial number theory related to progressions of primes.In 2007 he was awarded the

SASTRA Ramanujan Prize .And in 2008 he was among the ten recipients of the prestigious EMS prize awarded every four years only to highly talented young mathematicians who work in Europe.

**References*** [

*http://www.dpmms.cam.ac.uk/~bjg23/ Ben Green Homepage*]

* [*http://www.dpmms.cam.ac.uk/~bjg23/papers/bencv.pdf Curriculum Vitae of Ben Green*]

* [*http://www.claymath.org/research_award/Green/ Clay Research Award announcement*]

* [*http://front.math.ucdavis.edu/math.NT/0404188 math.NT/0404188 - Preprint on arbitrarily long arithmetic progressions on primes*]

* [*http://genealogy.math.ndsu.nodak.edu/html/id.phtml?id=76979 Ben Green at the Math Genealogy Project*]

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