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D-Index & Metrics

Mathematics

D-Index
40
Citations
5940
World Ranking
2077
National Ranking
137

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2010 - Fellow of the Royal Society, United Kingdom

Overview

Ben Green is affiliated with the University of Oxford in the United Kingdom and is primarily focused on research in the field of Mathematics. Their work spans a variety of subfields including Discrete Mathematics and Combinatorics, Geometry and Topology, Algebra and Number Theory, Mathematical Physics, and Numerical Analysis.

The main topics covered in their research include:

  • Limits and Structures in Graph Theory
  • Analytic Number Theory Research
  • Mathematical Dynamics and Fractals
  • Advanced Topology and Set Theory
  • Mathematical Approximation and Integration
  • Coding theory and cryptography
  • Mathematics and Applications

Ben Green has published notably in several academic venues, with repeated contributions especially to arXiv (Cornell University). Other publication venues include:

  • Random Structures and Algorithms
  • Annals of Mathematics
  • Inventiones mathematicae
  • Clean Energy

Their recent papers comprise the following works:

  • "Sumsets and entropy revisited", 2024, Random Structures and Algorithms
  • "Equal sums in random sets and the concentration of divisors", 2023, Inventiones mathematicae
  • "Lower bounds for corner-free sets", 2021, New Zealand journal of mathematics
  • "Facilitating Water electrolysers for electricity-grid services in Europe through establishing standardized testing protocols", 2020, Clean Energy
  • "On a conjecture of Marton", 2025, Annals of Mathematics

Frequent co-authors of Ben Green include:

  • Freddie Manners
  • Terence Tao
  • W. T. Gowers
  • Jop Briët
  • Kevin Ford

Ben Green has been recognized with awards such as Fellowship of the Royal Society in the United Kingdom awarded in 2010 and Fellowship of the American Mathematical Society awarded in 2013.

Best Publications

  • Linear equations in primes

    Benjamin Green;Terence Tao

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

    Ben Green;Terence Tao

  • The Mobius function is strongly orthogonal to nilsequences

    Benjamin Green;Terence Tao

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

    BJ Green

  • Freiman's theorem in an arbitrary abelian group

    Benjamin Green;Imre Z. Ruzsa

  • Approximate Subgroups of Linear Groups

    Emmanuel Breuillard;Ben Green;Terence Tao

  • Sum-free sets in abelian groups

    Ben Green;Imre Z. Ruzsa

  • Finite field models in additive combinatorics

    Ben Green

  • Arithmetic progressions in sumsets

    B. Green

  • An Arithmetic Regularity Lemma, An Associated Counting Lemma, and Applications

    Ben Green;Terence Tao

  • Restriction theory of the Selberg sieve, with applications

    Ben Green;Terence Tao

  • On Sets Defining Few Ordinary Lines

    Ben Joseph Green;Terence Tao

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

    Ben Joseph Green;Terence Tao

  • The Cameron-Erdos conjecture

    Ben Green

  • Long gaps between primes

    Kevin Ford;Ben Green;Sergei Konyagin;James Maynard

  • A Szemeredi-type regularity lemma in abelian groups

    Ben Green

  • A Note on Elkin’s Improvement of Behrend’s Construction

    Ben Green;Julia Wolf

  • Counting Sets With Small Sumset, And The Clique Number Of Random Cayley Graphs

    Ben Green

  • SETS WITH SMALL SUMSET AND RECTIFICATION

    Ben Green;Imre Z. Ruzsa

  • Full-field assessment of the damage process of laminated composite open-hole tensile specimens. Part I: Methodology

    Fabrice Pierron;Ben Green;Michael R. Wisnom

  • An inverse theorem for the Gowers U^3 norm

    Ben Green;Terence Tao

Frequent Co-Authors

Terence Tao
Terence Tao University of California, Los Angeles
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Daniel M. Kane
Daniel M. Kane University of California, San Diego
Kannan Soundararajan
Kannan Soundararajan Stanford University
Stephen R. Hallett
Stephen R. Hallett University of Bristol
Michael R Wisnom
Michael R Wisnom University of Bristol
Fabrice Pierron
Fabrice Pierron University of Southampton

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