Ben Green (mathematician)
Ben Joseph Green ( born February 27, 1977 in Bristol, England ) is a British mathematician who has made significant contributions to combinatorics and number theory.
Life
Ben Green has studied at Cambridge University from 1995 to 2002 at Trinity College Mathematics and received his doctorate in 2003 with a thesis on Topics in Arithmetic Combinatorics Tim Gowers. Then he was an initial three months at Alfréd Rényi Institute in Budapest and then from 2003 to 2004 at the University of British Columbia in Vancouver. In 2005 he was appointed professor of mathematics at the University of Bristol, which he held until 2006. Since September 2006 he has been Professor of Mathematics at Cambridge University.
Services
Ben Green has deep combinatorial results proved that have interesting applications in number theory. Famous are especially his proof of the conjecture of Cameron and Erdős (2004) and the joint work with Terence Tao The primes containment Arbitrarily long arithmetic progressions in which it is shown that there are arbitrarily long arithmetic progressions of prime numbers ( Green- Tao theorem ). The longest (2010) known arithmetic progression of prime numbers has length 26
The Proven by him conjecture of Cameron and Erdos says that the number of sum -free subsets of {, ..., N 1} is of the order. A sum of a subset is free if no x, y, z in A exist with x y = z
Honors
2001 Ben Green has won the Smith Prize of the University of Cambridge, 2004, he was awarded the Clay Research Award. The Whitehead Prize from the London Mathematical Society and the Salem Prize were awarded to him in 2005. In 2006 he was awarded the Ostrowski Prize jointly with Terence Tao. SASTRA Ramanujan Prize With the he was awarded in 2007.
In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Generali Sing the Hardy - Littlewood method for primes ). 2013 he held a Gaussian lecture. He is a Fellow of the American Mathematical Society. He was selected as Plenarsprecher at the International Congress of Mathematicians 2014 in Seoul.