Harald Helfgott

Harald Andrés Helfgott ( born November 25, 1977 in Lima, Peru) is a Peruvian mathematician who deals with number theory and group theory.

Life and work

Helfgott graduated from Brandeis University with a bachelor's degree summa cum laude in 1998 and in 2003 received his doctorate from Princeton University with Henryk Iwaniec ( and Peter Sarnak ) (Root numbers and the parity problem). As a post - graduate student, he was 2003/2004 Gibbs Assistant Professor at Yale University, and from 2004 to 2006 at the University of Montreal and Concordia University. From 2006 he was a lecturer from 2009 and Reader at the University of Bristol. He has been researching 2010 for the CNRS at the Ecole Normale Superieure.

He taught courses in Peru, India, Cuba, Bolivia and Brazil.

In 2013 he announced a proof of the ternary Goldbach 's conjecture for sufficiently large numbers, according to the odd numbers are represented as the sum of three primes. The limit was significantly lower than in the previous proofs, and small enough to the remaining cases ( the conjecture asserts the representability for odd numbers greater than 5 ) to do it by computer (which he also executed with David Platt). The proof uses the circle method of Hardy and Littlewood, estimates of exponential sums by Vinogradov and the big screen after Yuri Linnik.

He also deals with growth, for example, of subsets of generators, resolvable subsets in non-commutative groups. With Akshay Venkatesh he gave new estimates for the number of integer points on elliptic curves.

In 2008 he received the Philip Leverhulme Prize in Mathematics, 2010, Whitehead Prize and in 2011 the Adams - Price ( Tom Sanders ). In 2007 he received an Advanced Research Fellowship of the UK Engineering and Physical Sciences Research Council ( EPSRC ).