Arkady Berenstein

2.7k total citations · 1 hit paper
32 papers, 1.0k citations indexed

About

Arkady Berenstein is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Arkady Berenstein has authored 32 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 17 papers in Mathematical Physics and 16 papers in Algebra and Number Theory. Recurrent topics in Arkady Berenstein's work include Algebraic structures and combinatorial models (24 papers), Advanced Topics in Algebra (16 papers) and Advanced Algebra and Geometry (15 papers). Arkady Berenstein is often cited by papers focused on Algebraic structures and combinatorial models (24 papers), Advanced Topics in Algebra (16 papers) and Advanced Algebra and Geometry (15 papers). Arkady Berenstein collaborates with scholars based in United States, Russia and United Kingdom. Arkady Berenstein's co-authors include Andrei Zelevinsky, Sergey Fomin, Reyer Sjamaar, Vladimir Retakh, Michael Kapovich, Anatol N. Kirillov, S. Loktev, Vyjayanthi Chari, Anton Alekseev and David Kazhdan and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Arkady Berenstein

30 papers receiving 904 citations

Hit Papers

Cluster algebras III: Upper bounds and double Bruhat cells 2005 2026 2012 2019 2005 50 100 150 200
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Cluster algebras III: Upper bounds and double Bruhat cells
    2005 239 citations Arkady Berenstein, Sergey Fomin et al. Duke Mathematical Journal profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Arkady Berenstein United States 11 912 506 488 448 310 32 1.0k
Anne Schilling United States 17 593 0.7× 355 0.7× 216 0.4× 355 0.8× 282 0.9× 68 704
Peter Littelmann Germany 17 1.1k 1.2× 555 1.1× 678 1.4× 547 1.2× 282 0.9× 39 1.2k
Hans Wenzl United States 17 1.1k 1.3× 555 1.1× 838 1.7× 277 0.6× 134 0.4× 32 1.2k
Frédéric Chapoton France 13 778 0.9× 722 1.4× 350 0.7× 285 0.6× 185 0.6× 43 895
Vera Serganova United States 15 720 0.8× 564 1.1× 309 0.6× 193 0.4× 320 1.0× 57 863
G Lehrer Australia 19 994 1.1× 460 0.9× 795 1.6× 621 1.4× 76 0.2× 81 1.2k
Vadim Schechtman France 15 725 0.8× 370 0.7× 382 0.8× 282 0.6× 266 0.9× 43 847
Anatol N. Kirillov Japan 12 438 0.5× 260 0.5× 208 0.4× 345 0.8× 130 0.4× 35 579
Mark Shimozono United States 18 727 0.8× 369 0.7× 367 0.8× 624 1.4× 172 0.6× 57 839
Maxim Nazarov United Kingdom 15 720 0.8× 538 1.1× 299 0.6× 120 0.3× 398 1.3× 36 794

Countries citing papers authored by Arkady Berenstein

Since Specialization
Citations

This map shows the geographic impact of Arkady Berenstein'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 Arkady Berenstein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Arkady Berenstein more than expected).

Fields of papers citing papers by Arkady Berenstein

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Arkady Berenstein. 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 Arkady Berenstein. The network helps show where Arkady Berenstein may publish in the future.

Co-authorship network of co-authors of Arkady Berenstein

This figure shows the co-authorship network connecting the top 25 collaborators of Arkady Berenstein. A scholar is included among the top collaborators of Arkady Berenstein 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 Arkady Berenstein. Arkady Berenstein is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Berenstein, Arkady, et al.. (2017). Double canonical bases. Advances in Mathematics. 316. 381–468. 4 indexed citations
2.
Berenstein, Arkady, et al.. (2015). Littlewood–Richardson coefficients for reflection groups. Advances in Mathematics. 284. 54–111. 1 indexed citations
3.
Berenstein, Arkady, et al.. (2015). Generalized Joseph's decompositions. Comptes Rendus Mathématique. 353(10). 887–892. 1 indexed citations
4.
Berenstein, Arkady, et al.. (2013). Macdonald polynomials and BGG reciprocity for current algebras. Selecta Mathematica. 20(2). 585–607. 8 indexed citations
5.
Berenstein, Arkady & Andrei Zelevinsky. (2012). Triangular Bases in Quantum Cluster Algebras. International Mathematics Research Notices. 2014(6). 1651–1688. 15 indexed citations
6.
Berenstein, Arkady & Vladimir Retakh. (2011). A short proof of Kontsevich's cluster conjecture. Comptes Rendus Mathématique. 349(3-4). 119–122. 7 indexed citations
7.
Berenstein, Arkady, et al.. (2009). Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras. Transactions of the American Mathematical Society. 362(1). 229–260. 2 indexed citations
8.
Berenstein, Arkady, et al.. (2008). Braided doubles and rational Cherednik algebras. Advances in Mathematics. 220(5). 1466–1530. 9 indexed citations
9.
Berenstein, Arkady, David Kazhdan, Cédric Lecouvey, et al.. (2007). Combinatorial Aspect of Integrable Systems. Project Euclid (Cornell University). 5 indexed citations
10.
Berenstein, Arkady, David Kazhdan, Cédric Lecouvey, et al.. (2006). Combinatorial Aspect of Integrable Systems. 5 indexed citations
11.
Berenstein, Arkady & Andrei Zelevinsky. (2004). Quantum cluster algebras. Advances in Mathematics. 195(2). 405–455. 125 indexed citations
12.
Berenstein, Arkady & Andrei Zelevinsky. (2001). Tensor product multiplicities, canonical bases and totally positive varieties. Inventiones mathematicae. 143(1). 77–128. 135 indexed citations
13.
Berenstein, Arkady & Anatol N. Kirillov. (2000). Domino tableaux, Schützenberger involution, and the symmetric group action. Discrete Mathematics. 225(1-3). 15–24. 3 indexed citations
14.
Berenstein, Arkady & Reyer Sjamaar. (2000). Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion. Journal of the American Mathematical Society. 13(2). 433–466. 49 indexed citations
15.
Berenstein, Arkady & Reyer Sjamaar. (1998). Projections of Coadjoint Orbits and the Hilbert-Mumford Criterion. arXiv (Cornell University). 1 indexed citations
16.
Berenstein, Arkady & Alek Vainshtein. (1997). Concavity of weighted arithmetic means with applications. Archiv der Mathematik. 69(2). 120–126.
17.
Berenstein, Arkady & Andrei Zelevinsky. (1997). Total positivity in Schubert varieties. Commentarii Mathematici Helvetici. 72(1). 128–166. 64 indexed citations
18.
Berenstein, Arkady, Sergey Fomin, & Andrei Zelevinsky. (1996). Parametrizations of Canonical Bases and Totally Positive Matrices. Advances in Mathematics. 122(1). 49–149. 140 indexed citations
19.
Berenstein, Arkady & Andrei Zelevinsky. (1996). Canonical bases for the quantum group of type Ar and piecewise-linear combinatorics. Duke Mathematical Journal. 82(3). 42 indexed citations
20.
Berenstein, Arkady & Andrei Zelevinsky. (1988). Tensor product multiplicities and convex polytopes in partition space. Journal of Geometry and Physics. 5(3). 453–472. 46 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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