Andrei Zelevinsky

13.2k citations

63 papers · 6.2k indexed · 6 hit papers · h-index 34

Impact in

Discrete Mathematics and Combinatorics top 0.05%
- Advanced Combinatorial Mathematics
Algebra and Number Theory top 0.05%
- Advanced Topics in Algebra
- Commutative Algebra and Its Applications

Papers in

Discrete Mathematics and Combinatorics 34
- Advanced Combinatorial Mathematics 31
Algebra and Number Theory 42
- Advanced Topics in Algebra 34
- Commutative Algebra and Its Applications 6
- Advanced Mathematical Identities 4

Co-authors: Sergey Fomin Mikhail Kapranov Israel M. Gelfand Arkady Berenstein I. N. Bernstein Jerzy Weyman Harm Derksen Bernd Sturmfels
Journals: Advances in Mathematics (10 papers)Journal of Algebraic Combinatorics (5 papers)Journal of Algebra (3 papers)Journal of the American Mathematical Society (3 papers)Duke Mathematical Journal (3 papers)
Partner nations: United States Russia Germany

In The Last Decade

Andrei Zelevinsky

62 papers receiving 5.5k citations

Hit Papers

6 papers align trajectories log scale

Cluster algebras IV: Coefficients 2007 · 307 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

2007 Compositio Mathematica
2005 Duke Mathematical Journal
2001 Journal of the American Mathematical Society
1994 Birkhäuser Boston eBooks
1980 Annales Scientifiques de l École Normale Supérieure
1977 Annales Scientifiques de l École Normale Supérieure

Peers

Countries citing papers authored by Andrei Zelevinsky

Since Specialization

Citations

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

Fields of papers citing papers by Andrei Zelevinsky

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network

The 25 scholars most cited alongside Andrei Zelevinsky, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Andrei Zelevinsky Line = papers co-authored together Andrei Zelevinsky links everyone, so they are left out of the graph.

All Works

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

20 of 20 papers shown

#	Work
1	The existence of greedy bases in rank 2 quantum cluster algebras Advances in Mathematics ·Kyungyong Lee, Li Li, Mohd Eshtay, Andrei Zelevinsky	2016	4
2	Semicanonical Basis Generators of the Cluster Algebra of Type $A_1^{(1)}$ The Electronic Journal of Combinatorics ·Andrei Zelevinsky	2007	13
3	Cluster Algebras of finite type and symmetrizable matrices arXiv (Cornell University) ·Michael Barot, Christof Geiß, Andrei Zelevinsky	2004	2
4	Quantum cluster algebras Advances in Mathematics ·Arkady Berenstein, Andrei Zelevinsky	2004	125
5	Positivity and Canonical Bases in Rank 2 Cluster Algebras of Finite and Affine Types Moscow Mathematical Journal ·P.J. Sherman, Andrei Zelevinsky	2004	62
6	The Laurent Phenomenon Advances in Applied Mathematics ·Sergey Fomin, Andrei Zelevinsky	2002	147
7	Symplectic Multiple Flag Varieties of Finite Type Journal of Algebra ·Péter Magyar, Jerzy Weyman, Andrei Zelevinsky	2000	22
8	Simply laced Coxeter groups and groups generated by symplectic transvections. The Michigan Mathematical Journal ·Boris Shapiro, Michael Shapiro, Alek Vainshtein, Andrei Zelevinsky	2000	12
9	Multiple Flag Varieties of Finite Type Advances in Mathematics ·Péter Magyar, Jerzy Weyman, Andrei Zelevinsky	1999	46
10	Polyhedral Realizations of Crystal Bases for Quantized Kac–Moody Algebras Advances in Mathematics ·Toshiki Nakashima, Andrei Zelevinsky	1997	74
11	Parametrizations of Canonical Bases and Totally Positive Matrices Advances in Mathematics ·Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky	1996	140
12	Canonical bases for the quantum group of type Ar and piecewise-linear combinatorics Duke Mathematical Journal ·Arkady Berenstein, Andrei Zelevinsky	1996	42
13	A correction to the paper “hypergeometric functions and toric varieties” Functional Analysis and Its Applications ·I. M. Gel'fand, Mikhail Kapranov, Andrei Zelevinsky	1993	22
14	Combinatorics of Maximal Minors Journal of Algebraic Combinatorics ·David B. Bernstein, Andrei Zelevinsky	1993	21
15	Maximal Minors and Their Leading Terms Advances in Mathematics ·Bernd Sturmfels, Andrei Zelevinsky	1993	37
16	Hyperdeterminants Advances in Mathematics ·Israel M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky	1992	35
17	Generalized Euler integrals and A-hypergeometric functions Advances in Mathematics ·Israel M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky	1990	153
18	Newton polytopes of the classical resultant and discriminant Advances in Mathematics ·Israel M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky	1990	32
19	A generalization of the Littlewood-Richardson rule and the Robinson-Schensted-Knuth correspondence Journal of Algebra ·Andrei Zelevinsky	1981	48
20	Induced representations of reductive ${\germ p}$-adic groups. I Annales Scientifiques de l École Normale Supérieure ·I. N. Bernstein, Andrei Zelevinsky Hit paper breakdown →	1977	450

About Andrei Zelevinsky

Andrei Zelevinsky is a scholar working on Discrete Mathematics and Combinatorics, Algebra and Number Theory, Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics, having authored 63 papers that have together received 6.2k indexed citations. Recurring topics across this work include Algebraic structures and combinatorial models (38 papers), Advanced Topics in Algebra (34 papers), Advanced Combinatorial Mathematics (31 papers), Advanced Algebra and Geometry (16 papers), Nonlinear Waves and Solitons (13 papers), Algebraic Geometry and Number Theory (8 papers), Commutative Algebra and Its Applications (6 papers) and Advanced Mathematical Identities (4 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (2.1k citations), Algebra and Number Theory (2.9k citations), Geometry and Topology (4.9k citations), Mathematical Physics (2.3k citations) and Computational Mathematics (140 citations). Andrei Zelevinsky has collaborated with scholars based in United States, Russia and Germany. Frequent co-authors include Sergey Fomin, Mikhail Kapranov, Israel M. Gelfand, Arkady Berenstein, I. N. Bernstein, Jerzy Weyman, Harm Derksen, Bernd Sturmfels, Toshiki Nakashima and P.J. Sherman. Their work appears in journals such as Advances in Mathematics, Journal of Algebraic Combinatorics, Journal of Algebra, Journal of the American Mathematical Society and Duke Mathematical Journal.

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.

Explore authors with similar magnitude of impact