Ben Green (mathematician)
|Born||Ben Joseph Green
27 February 1977
|Alma mater||Trinity College, Cambridge
(BA, MMath, PhD)
|Awards||Clay Research Award (2004)
Salem Prize (2005)
Whitehead Prize (2005)
SASTRA Ramanujan Prize (2007)
EMS Prize (2008)
Fellow of the Royal Society (2010)
Sylvester Medal (2014)
|Institutions||University of Bristol
University of Cambridge
University of Oxford
University of British Columbia
Massachusetts Institute of Technology
|Thesis||Topics in Arithmetic Combinatorics (2003)|
|Doctoral advisor||Timothy Gowers|
Ben Joseph Green FRS (born 27 February 1977) is a British mathematician, specialising in combinatorics and number theory. He is the Waynflete Professor of Pure Mathematics at the University of Oxford.
Early life and education
Ben Green was born on 27 February 1977 in Bristol, England. He studied at local schools in Bristol, Bishop Road Primary School and Fairfield Grammar School, competing in the International Mathematical Olympiad in 1994 and 1995. He entered Trinity College, Cambridge in 1995 and completed his BA in mathematics in 1998, winning the Senior Wrangler title. He stayed on for Part III and earned his doctorate under the supervision of English mathematician Timothy Gowers, with a thesis entitled Topics in arithmetic combinatorics (2003). During his PhD he spent a year as a visiting student at Princeton University. He was a research Fellow at Trinity College, Cambridge between 2001 and 2005, before becoming a Professor of Mathematics at the University of Bristol from January 2005 to September 2006 and then the first Herchel Smith Professor of Pure Mathematics at the University of Cambridge from September 2006 to August 2013. He became the Waynflete Professor of Pure Mathematics at the University of Oxford on 1 August 2013. He was also a Research Fellow of the Clay Mathematics Institute and held various positions at institutes such as Princeton University, University of British Columbia, and Massachusetts Institute of Technology.
Green has published several results in both combinatorics and number theory. These include improving the estimate by Jean Bourgain of the size of arithmetic progressions in sumsets, as well as a proof of the Cameron–Erdős conjecture on sum-free sets of natural numbers.
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 2004 work with mathematician Terence Tao now known as the Green–Tao theorem. This theorem showed that for all sufficiently large n there exist arithmetic progressions of length n in the prime numbers.
Awards and honours
In 2007 he was awarded the SASTRA Ramanujan Prize.
In 2008 he was among the ten recipients of the European Mathematical Society prize.