NewEvery arXiv paper, its researchers & institutions — mapped.
papers

Publications (58)

math.NT2012

New bounds for Szemeredi's theorem, Ia: Progressions of length 4 in finite field geometries revisited

Ben Green, Terence Tao

math.NT2007

Quadratic Uniformity of the Mobius Function

Ben Green, Terence Tao

math.CO2003

Counting sets with small sumset, and the clique number of random Cayley graphs

Ben Green

math.NT2005

Long arithmetic progressions of primes

Ben Green

math.CA2007

A quantitative version of the idempotent theorem in harmonic analysis

Ben Green, Tom Sanders

math.NT2003

The Cameron-Erdos Conjecture

Ben Green

math.GR2014

Expansion in finite simple groups of Lie type

Emmanuel Breuillard, Ben Green, Robert Guralnick +1

math.NT2009

Approximate groups and their applications: work of Bourgain, Gamburd, Helfgott and Sarnak

Ben Green

math.CO2004

A Szemeredi-type regularity lemma in abelian groups, with applications

Ben Green

math.NT2009

Sum-product phenomena in F_p: a brief introduction

Ben Green

math.CO2007

The distribution of polynomials over finite fields, with applications to the Gowers norms

Ben Green, Terence Tao

math.NT2005

Sets with small sumset and rectification

Ben Green, Imre Z. Ruzsa

math.CO2007

Freiman's theorem in finite fields via extremal set theory

Ben Green, Terence Tao

math.GR2009

Approximate groups, II: the solvable linear case

Emmanuel Breuillard, Ben Green

math.NT2006

Compressions, convex geometry and the Freiman-Bilu theorem

Ben Green, Terence Tao

math.NT2015

The quantitative behaviour of polynomial orbits on nilmanifolds

Ben Green, Terence Tao

math.GR2010

Approximate subgroups of linear groups

Emmanuel Breuillard, Ben Green, Terence Tao

math.NT2014

Approximate algebraic structure

Ben Green

math.GR2011

A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups

Emmanuel Breuillard, Ben Green, Terence Tao

math.CO2014

Counting sets with small sumset and applications

Ben Green, Robert Morris

math.NT2013

Small doubling in groups

Emmanuel Breuillard, Ben Green, Terence Tao

math.NT2012

On (not) computing the Mobius function using bounded depth circuits

Ben Green

math.GR2010

Suzuki groups as expanders

Emmanuel Breuillard, Ben Green, Terence Tao

math.NT2006

Generalising the Hardy-Littlewood Method for Primes

Ben Green

math.NT2009

An equivalence between inverse sumset theorems and inverse conjectures for the U^3 norm

Ben Green, Terence Tao

math.NT2014

Bounded gaps between primes

Ben Green

math.CA2010

Boolean functions with small spectral norm

Ben Green, Tom Sanders

math.CO2013

Sets of integers with no large sum-free subset

Sean Eberhard, Ben Green, Freddie Manners

math.GR2010

Linear Approximate Groups

Emmanuel Breuillard, Ben Green, Terence Tao

math.GR2011

The structure of approximate groups

Emmanuel Breuillard, Ben Green, Terence Tao

math.NT2008

Linear Equations in Primes

Ben Green, Terence Tao

math.NT2008

On a variant of the large sieve

Ben Green

math.NT2004

Roth's theorem in the primes

Ben Green

math.GR2011

Strongly dense free subgroups of semisimple algebraic groups

Emmanuel Breuillard, Ben Green, Robert Guralnick +1

math.NT2010

Yet another proof of Szemeredi's theorem

Ben Green, Terence Tao

math.NT2007

On the maximal number of three-term arithmetic progressions in subsets of Z/pZ

Ben Green, Olof Sisask

math.CO2013

On sets defining few ordinary lines

Ben Green, Terence Tao

math.CO2008

New bounds for Szemeredi's Theorem, I: Progressions of length 4 in finite field geometries

Ben Green, Terence Tao

math.NT2005

Set addition in boxes and the Freiman-Bilu theorem

Ben Green

math.CO2004

Sum-free sets in abelian groups

Ben Green, Imre Z. Ruzsa

math.CA2003

On the Hardy-Littlewood majorant problem

Ben Green, Imre Ruzsa

math.NT2007

Three topics in additive prime number theory

Ben Green

math.NT2004

Finite field models in additive combinatorics

Ben Green

math.CA2006

On the Littlewood problem modulo a prime

Ben Green, Sergei Konyagin

math.NT2011

The Mobius function is strongly orthogonal to nilsequences

Ben Green, Terence Tao

math.NT2005

Restriction theory of the Selberg sieve, with applications

Ben Green, Terence Tao

math.CO2008

A note on Elkin's improvement of Behrend's construction

Ben Green, Julia Wolf

math.CO2011

A nilpotent Freiman dimension lemma

Emmanuel Breuillard, Ben Green, Terence Tao

math.CO2009

Approximate groups, I: the torsion-free nilpotent case

Emmanuel Breuillard, Ben Green

math.NT2006

Freiman's Theorem in an arbitrary abelian group

Ben Green, Imre Z. Ruzsa

math.NT2011

An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement)

Ben Green, Terence Tao, Tamar Ziegler

math.CA2007

Montreal Lecture Notes on Quadratic Fourier Analysis

Ben Green

math.NT2015

On the quantitative distribution of polynomial nilsequences - erratum

Ben Green, Terence Tao

math.CO2007

A note on the Freiman and Balog-Szemeredi-Gowers theorems in finite fields

Ben Green, Terence Tao

math.CO2011

Contractions and expansion

Emmanuel Breuillard, Ben Green

math.GR2011

Approximate groups, III: the unitary case

Emmanuel Breuillard, Ben Green

math.NT2007

The primes contain arbitrarily long arithmetic progressions

Ben Green, Terence Tao

math.NT2010

An inverse theorem for the Gowers U^4 norm

Ben Green, Terence Tao, Tamar Ziegler