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- Ben Green

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
4,100
92
World Ranking
2248
National Ranking
155

2013 - Fellow of the American Mathematical Society

2010 - Fellow of the Royal Society, United Kingdom

- Combinatorics
- Algebra
- Mathematical analysis

His main research concerns Combinatorics, Discrete mathematics, Abelian group, Structured program theorem and Lemma. The various areas that he examines in his Combinatorics study include Selberg sieve, Geometry and Bounded function. His work deals with themes such as Norm, Arithmetic, Sumset and Prime, which intersect with Discrete mathematics.

Ben Green has included themes like Graph theory and Additive number theory in his Abelian group study. His Structured program theorem study incorporates themes from Plane, Line, Absolute constant and Conjecture. His Cayley graph research is multidisciplinary, relying on both Structure, Group, Algebraic number, Field and Simple.

- A Szemeredi-type regularity lemma in abelian groups, with applications (202 citations)
- Approximate Subgroups of Linear Groups (160 citations)
- AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM (138 citations)

His primary scientific interests are in Combinatorics, Discrete mathematics, Conjecture, Cayley graph and Abelian group. His Combinatorics research incorporates elements of Structure, Bounded function and Inverse. His Inverse study incorporates themes from Norm and Polynomial.

His research in Discrete mathematics intersects with topics in Function, Fourier transform and Sumset. His Conjecture research integrates issues from Polynomial and Finite set. His Cayley graph study deals with Algebraic number intersecting with Simple.

- Combinatorics (74.02%)
- Discrete mathematics (36.22%)
- Conjecture (14.96%)

- Combinatorics (74.02%)
- Conjecture (14.96%)
- Almost surely (4.72%)

His primary areas of study are Combinatorics, Conjecture, Almost surely, Discrete mathematics and Prime. The various areas that Ben Green examines in his Combinatorics study include Cardinality, Bounded function and Fourier series. His work deals with themes such as Limit, Infinity, Chromatic scale, Absolute constant and Cayley graph, which intersect with Cardinality.

As a part of the same scientific study, Ben Green usually deals with the Conjecture, concentrating on Finite field and frequently concerns with Statement, Arithmetic and Finite set. Ben Green interconnects Vector space, Property, Abelian group and Vertex in the investigation of issues within Almost surely. His biological study spans a wide range of topics, including Modular form, Holomorphic function, Log-log plot and Mod.

- Long gaps between primes (37 citations)
- A note on multiplicative functions on progressions to large moduli (8 citations)
- On the Chromatic Number of Random Cayley Graphs (7 citations)

- Algebra
- Combinatorics
- Mathematical analysis

Combinatorics, Prime, Mathematical physics, Monochromatic color and Function are his primary areas of study. His work on Integer is typically connected to Moduli as part of general Combinatorics study, connecting several disciplines of science. The concepts of his Prime study are interwoven with issues in Hypergraph, Generalization, Log-log plot and Abelian group.

Ben Green combines subjects such as Space, Polynomial and Degree with his study of Function.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

Ben Green;Terence Tao.

Proceedings of the Edinburgh Mathematical Society **(2008)**

410 Citations

AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

Ben Green;Terence Tao.

Proceedings of the Edinburgh Mathematical Society **(2008)**

410 Citations

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

BJ Green.

Geometric and Functional Analysis **(2005)**

314 Citations

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

BJ Green.

Geometric and Functional Analysis **(2005)**

314 Citations

Freiman's theorem in an arbitrary abelian group

Benjamin Green;Imre Z. Ruzsa.

Journal of The London Mathematical Society-second Series **(2007)**

246 Citations

Approximate Subgroups of Linear Groups

Emmanuel Breuillard;Ben Green;Terence Tao.

Geometric and Functional Analysis **(2011)**

198 Citations

Approximate Subgroups of Linear Groups

Emmanuel Breuillard;Ben Green;Terence Tao.

Geometric and Functional Analysis **(2011)**

198 Citations

Sum-free sets in abelian groups

Ben Green;Imre Z. Ruzsa.

Israel Journal of Mathematics **(2005)**

169 Citations

Sum-free sets in abelian groups

Ben Green;Imre Z. Ruzsa.

Israel Journal of Mathematics **(2005)**

169 Citations

Arithmetic progressions in sumsets

B. Green.

Geometric and Functional Analysis **(2002)**

143 Citations

Mathematical Proceedings of the Cambridge Philosophical Society

(Impact Factor: 0.949)

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