Ben Green

Identifiers

• name variant Ben Green 0.60 · backfill

Papers (74)

1. The proportion of permutations fixing a $k$-set math.CO · 2026 · author #1
2. Remarks on the inverse Littlewood conjecture math.NT · 2026 · author #2
3. On the arithmetic Kakeya conjecture of Katz and Tao math.NT · 2017 · author #1
4. New bounds for Szemer\'edi's theorem, III: A polylogarithmic bound for $r_4(N)$ math.CO · 2017 · author #1
5. Non-zero coefficients of half-integral weight modular forms mod $\ell$ math.NT · 2017 · author #2
6. Optical properties of Xe color centers in diamond cond-mat.other · 2017 · author #6
7. An example concerning set addition in F_2^n math.CO · 2017 · author #1
8. Monochromatic solutions to $x + y = z^2$ math.NT · 2016 · author #1
9. Sarkozy's theorem in function fields math.NT · 2016 · author #1
10. A note on multiplicative functions on progressions to large moduli math.NT · 2016 · author #1
11. Fourier uniformity on subspaces math.NT · 2015 · author #1
12. Monochromatic sums and products math.NT · 2015 · author #1
13. Invariable generation of the symmetric group math.GR · 2015 · author #3
14. Large gaps between consecutive prime numbers math.NT · 2014 · author #2
15. Approximate algebraic structure math.NT · 2014 · author #1
16. Bounded gaps between primes math.NT · 2014 · author #1
17. On the quantitative distribution of polynomial nilsequences - erratum math.NT · 2013 · author #1
18. Expansion in finite simple groups of Lie type math.GR · 2013 · author #2
19. On the chromatic number of random Cayley graphs math.CO · 2013 · author #1
20. Counting sets with small sumset and applications math.CO · 2013 · author #1
21. Small doubling in groups math.NT · 2013 · author #2
22. Sets of integers with no large sum-free subset math.CO · 2013 · author #2
23. On sets defining few ordinary lines math.CO · 2012 · author #1
24. New bounds for Szemeredi's theorem, Ia: Progressions of length 4 in finite field geometries revisited math.NT · 2012 · author #1
25. A nilpotent Freiman dimension lemma math.CO · 2011 · author #2
26. Contractions and expansion math.CO · 2011 · author #2
27. The structure of approximate groups math.GR · 2011 · author #2
28. On (not) computing the Mobius function using bounded depth circuits math.NT · 2011 · author #1
29. A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups math.GR · 2011 · author #2
30. Strongly dense free subgroups of semisimple algebraic groups math.GR · 2010 · author #2
31. An inverse theorem for the Gowers U^{s+1}[N]-norm math.CO · 2010 · author #1
32. Approximate groups, III: the unitary case math.GR · 2010 · author #2
33. An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement) math.NT · 2010 · author #1
34. Approximate subgroups of linear groups math.GR · 2010 · author #2
35. Suzuki groups as expanders math.GR · 2010 · author #2
36. Yet another proof of Szemeredi's theorem math.NT · 2010 · author #1
37. Linear Approximate Groups math.GR · 2010 · author #2
38. An inverse theorem for the Gowers U^4 norm math.NT · 2009 · author #1
39. Approximate groups and their applications: work of Bourgain, Gamburd, Helfgott and Sarnak math.NT · 2009 · author #1
40. Approximate groups, II: the solvable linear case math.GR · 2009 · author #2
41. Approximate groups, I: the torsion-free nilpotent case math.CO · 2009 · author #2
42. An equivalence between inverse sumset theorems and inverse conjectures for the U^3 norm math.NT · 2009 · author #1
43. Sum-product phenomena in F_p: a brief introduction math.NT · 2009 · author #1
44. A note on Elkin's improvement of Behrend's construction math.CO · 2008 · author #1
45. On a variant of the large sieve math.NT · 2008 · author #1
46. The Mobius function is strongly orthogonal to nilsequences math.NT · 2008 · author #1
47. The distribution of polynomials over finite fields, with applications to the Gowers norms math.CO · 2007 · author #1
48. Three topics in additive prime number theory math.NT · 2007 · author #1
49. On the maximal number of three-term arithmetic progressions in subsets of Z/pZ math.NT · 2007 · author #1
50. The quantitative behaviour of polynomial orbits on nilmanifolds math.NT · 2007 · author #1
51. Freiman's theorem in finite fields via extremal set theory math.CO · 2007 · author #1
52. A note on the Freiman and Balog-Szemeredi-Gowers theorems in finite fields math.CO · 2007 · author #1
53. A quantitative version of the idempotent theorem in harmonic analysis math.CA · 2006 · author #1
54. Linear Equations in Primes math.NT · 2006 · author #1
55. Quadratic Uniformity of the Mobius Function math.NT · 2006 · author #1
56. Boolean functions with small spectral norm math.CA · 2006 · author #1
57. Montreal Lecture Notes on Quadratic Fourier Analysis math.CA · 2006 · author #1
58. On the Littlewood problem modulo a prime math.CA · 2006 · author #1
59. Generalising the Hardy-Littlewood Method for Primes math.NT · 2006 · author #1
60. Compressions, convex geometry and the Freiman-Bilu theorem math.NT · 2005 · author #1
61. Set addition in boxes and the Freiman-Bilu theorem math.NT · 2005 · author #1
62. New bounds for Szemeredi's Theorem, I: Progressions of length 4 in finite field geometries math.CO · 2005 · author #1
63. Long arithmetic progressions of primes math.NT · 2005 · author #1
64. Freiman's Theorem in an arbitrary abelian group math.NT · 2005 · author #1
65. Finite field models in additive combinatorics math.NT · 2004 · author #1
66. Restriction theory of the Selberg sieve, with applications math.NT · 2004 · author #1
67. The primes contain arbitrarily long arithmetic progressions math.NT · 2004 · author #1
68. Sets with small sumset and rectification math.NT · 2004 · author #1
69. A Szemeredi-type regularity lemma in abelian groups, with applications math.CO · 2003 · author #1
70. Sum-free sets in abelian groups math.CO · 2003 · author #1
71. Counting sets with small sumset, and the clique number of random Cayley graphs math.CO · 2003 · author #1
72. The Cameron-Erdos Conjecture math.NT · 2003 · author #1
73. On the Hardy-Littlewood majorant problem math.CA · 2003 · author #1
74. Roth's theorem in the primes math.NT · 2003 · author #1

Mentions

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Frequent Coauthors

• Terence Tao 30 shared papers
• Emmanuel Breuillard 13 shared papers
• Tom Sanders 4 shared papers
• Imre Z. Ruzsa 3 shared papers
• Tamar Ziegler 3 shared papers
• Imre Ruzsa 2 shared papers
• Kevin Ford 2 shared papers
• Robert Guralnick 2 shared papers
• Sean Eberhard 2 shared papers
• Sergei Konyagin 2 shared papers
• Aiden Martin 1 shared papers
• Daniel Kane 1 shared papers
• Freddie Manners 1 shared papers
• Igor Aharonovich 1 shared papers
• Jo\"el Bella\"iche 1 shared papers
• Julia Wolf 1 shared papers
• Kannan Soundararajan 1 shared papers
• Li Ke 1 shared papers
• Mehran Kianinia 1 shared papers
• Mehtaab Sawhney 1 shared papers