Ben Green

3.6k total citations
51 papers, 1.1k citations indexed

About

Ben Green is a scholar working on Discrete Mathematics and Combinatorics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Ben Green has authored 51 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Discrete Mathematics and Combinatorics, 27 papers in Algebra and Number Theory and 23 papers in Geometry and Topology. Recurrent topics in Ben Green's work include Limits and Structures in Graph Theory (40 papers), Analytic Number Theory Research (27 papers) and Advanced Topology and Set Theory (17 papers). Ben Green is often cited by papers focused on Limits and Structures in Graph Theory (40 papers), Analytic Number Theory Research (27 papers) and Advanced Topology and Set Theory (17 papers). Ben Green collaborates with scholars based in United States, United Kingdom and France. Ben Green's co-authors include Terence Tao, Imre Z. Ruzsa, Emmanuel Breuillard, Tamar Ziegler, Sergeĭ Konyagin, Kevin Ford, Tom Sanders, James Maynard, Robert Morris and Robert M. Guralnick and has published in prestigious journals such as SHILAP Revista de lepidopterología, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Ben Green

50 papers receiving 986 citations

Peers

Ben Green

DMC

GT

ANT

CTM

MP

J. Pintz Hungary

Mei-Chu Chang United States

G. Harman United Kingdom

Yong-Gao Chen China

Bernard Host France

Neil Hindman United States

Trevor D. Wooley United States

Ilya D. Shkredov Russia

T. N. Shorey India

Mohan S. Putcha United States

J. Pintz Hungary

Ben Green

620 ×0.7

DMC

460 ×0.9

GT

776 ×1.6

ANT

223 ×0.7

CTM

161 ×0.6

MP

Citations per year, relative to Ben Green Ben Green (= 1×) peers J. Pintz

Countries citing papers authored by Ben Green

Since Specialization

Citations

This map shows the geographic impact of Ben Green's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ben Green with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ben Green more than expected).

Fields of papers citing papers by Ben Green

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ben Green. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ben Green. The network helps show where Ben Green may publish in the future.

Co-authorship network of co-authors of Ben Green

This figure shows the co-authorship network connecting the top 25 collaborators of Ben Green. A scholar is included among the top collaborators of Ben Green based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Ben Green. Ben Green is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Gowers, W. T., et al.. (2025). On a conjecture of Marton. Annals of Mathematics. 201(2). 1 indexed citations

2.

Green, Ben, et al.. (2024). Sumsets and entropy revisited. Random Structures and Algorithms. 66(1). 1 indexed citations

3.

Ford, Kevin, et al.. (2023). Equal sums in random sets and the concentration of divisors. Inventiones mathematicae. 232(3). 1027–1160. 4 indexed citations

4.

Green, Ben. (2022). New lower bounds for van der Waerden numbers. SHILAP Revista de lepidopterología. 10. 1 indexed citations

5.

Green, Ben & Imre Z. Ruzsa. (2018). On the arithmetic Kakeya conjecture of Katz and Tao. Periodica Mathematica Hungarica. 78(2). 135–151. 3 indexed citations

6.

Ford, Kevin, Ben Green, Sergeĭ Konyagin, James Maynard, & Terence Tao. (2017). Long gaps between primes. Journal of the American Mathematical Society. 31(1). 65–105. 21 indexed citations

7.

Green, Ben & Tom Sanders. (2016). Monochromatic sums and products. SHILAP Revista de lepidopterología. 10 indexed citations

8.

Breuillard, Emmanuel, Ben Green, & Terence Tao. (2013). A nilpotent Freiman dimension lemma. European Journal of Combinatorics. 34(8). 1287–1292. 6 indexed citations

9.

Green, Ben & Terence Tao. (2013). On Sets Defining Few Ordinary Lines. Discrete & Computational Geometry. 50(2). 409–468. 27 indexed citations

10.

Green, Ben & Terence Tao. (2012). The quantitative behaviour of polynomial orbits on nilmanifolds. Annals of Mathematics. 175(2). 465–540. 77 indexed citations

11.

Ziegler, Tamar, Terence Tao, & Ben Green. (2011). An inverse theorem for the Gowers $U^{s+1}[N]$-norm. 18(0). 69–90. 25 indexed citations

12.

Breuillard, Emmanuel, Ben Green, & Terence Tao. (2010). Linear approximate groups. 17(0). 57–67. 9 indexed citations

13.

Green, Ben & Sergeĭ Konyagin. (2009). On the Littlewood Problem Modulo a Prime. Canadian Journal of Mathematics. 61(1). 141–164. 14 indexed citations

14.

Green, Ben & Terence Tao. (2009). The distribution of polynomials over finite fields, with applications to the Gowers norms. Contributions to Discrete Mathematics. 4(2).

15.

Green, Ben & Terence Tao. (2008). AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM. Proceedings of the Edinburgh Mathematical Society. 51(1). 73–153. 126 indexed citations

16.

Green, Ben & Terence Tao. (2008). The Mobius and Nilsequences Conjecture. arXiv (Cornell University). 2 indexed citations

17.

Green, Ben & Terence Tao. (2008). Restriction theory of the Selberg sieve, with applications. Journal de Théorie des Nombres de Bordeaux. 18(1). 147–182. 31 indexed citations

18.

Green, Ben & Terence Tao. (2008). Quadratic uniformity of the Möbius function. Annales de l’institut Fourier. 58(6). 1863–1935. 24 indexed citations

19.

Green, Ben & Imre Z. Ruzsa. (2005). Sum-free sets in abelian groups. Israel Journal of Mathematics. 147(1). 157–188. 50 indexed citations

20.

Green, Ben. (2003). A Szemeredi-type regularity lemma in abelian groups. arXiv (Cornell University). 26 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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