What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (74.02%)
- Discrete mathematics (36.22%)
- Conjecture (14.96%)
What were the highlights of his more recent work (between 2016-2021)?
- Combinatorics (74.02%)
- Conjecture (14.96%)
- Almost surely (4.72%)
In recent papers he was focusing on the following fields of study:
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.
Between 2016 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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