Tom Sanders (mathematician)

Tom Sanders is an English mathematician who deals with additive combinatorics and its connections with harmonic analysis and analytical number theory.

Life

Sanders studied mathematics at Cambridge University, where he received his doctorate at Timothy Gowers 2007 ( Topics in arithmetic combinatorics ). After that, he was Junior Research Fellow at Christ's College, Cambridge. 2007/ 08 he was at the Institute for Advanced Study and 2008/ 09 at MSRI and the Mittag-Leffler Institute. Since 2011 he has been a Royal Society University Research Fellow at the University of Oxford and Fellow and Tutor there at St. Hugh 's College.

In 2011 he was awarded the Adams Prize. In 2012 he was awarded the EMS Award for his fundamental results in additive combinatorics and harmonic analysis. For 2013, the Whitehead Prize was awarded.

Work

He improved the set of Klaus Friedrich Roth on arithmetic progressions with three members. Roth had an upper bound for the size of subsets of the natural numbers given equal less that do not contain non-trivial arithmetic progression of length three. Roth proved

(using the Landau symbols) Sanders improved to logarithmic terms on

Previously found already Jean Bourgain, Roger Heath- Brown and Endre Szemeredi ( the set of Roth is also the simplest case, the set of Szemeredi ) tightening.