Andrei Zelevinsky

13.6k citations
63 papers · 6.4k · 6 hit papers · h-index 34

Impact in

Papers in

    • Algebraic structures and combinatorial models 38
    • Algebraic Geometry and Number Theory 8
    • Advanced Topics in Algebra 34
    • Commutative Algebra and Its Applications 6
    • Advanced Mathematical Identities 4

Andrei Zelevinsky

62 papers receiving 5.7k citations

Andrei Zelevinsky's Hit Papers

Cluster algebras IV: Coefficients 2007 · 322 citations
3220+16+32Years since publication4008001.2k

Peers

Andrei Zelevinsky
Comparison fields: 5 of 95
  • Discrete Mathematics and Combinatorics 2.2k
  • Algebra and Number Theory 3.0k
  • Geometry and Topology 5.0k
  • Mathematical Physics 2.3k
  • Computational Mathematics 139
Replace William Fulton with:
William Fulton United States
James E. Humphreys United States
Mikhail Kapranov United States
Robin Hartshorne United States
Masaki Kashiwara Japan
David Eisenbud United States
Jean-Pierre Serre France
Claudio Procesi Italy
Joe Harris United States
Armand Borel United States
Andrei Zelevinsky relative to William Fulton United States William Fulton's profile →
Citations per field
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Citations per year

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-authors

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

20 of 20 papers shown

Showing the 20 most-cited of 63 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Discriminants, Resultants, and Multidimensional Determinants
Hit paper breakdown →
19941300
2
Cluster algebras I: Foundations
Hit paper breakdown →
2001849
3
Induced representations of reductive ${\germ p}$-adic groups. I
Hit paper breakdown →
1977454
4
Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
Hit paper breakdown →
1980373
5
Cluster algebras IV: Coefficients
Hit paper breakdown →
2007322
6
Cluster algebras III: Upper bounds and double Bruhat cells
Hit paper breakdown →
2005247
7 2008194
8 1999159
9 1990159
10 2002151
11 2010142
12 1996142
13 2001140
14 2004127
15 2000100
16
Representations of Finite Classical Groups: A Hopf Algebra Approach
198195
17 200291
18 200384
19 199774
20 199267

About Andrei Zelevinsky

Andrei Zelevinsky is a scholar working on Geometry and Topology, Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics and Statistical and Nonlinear Physics, having authored 63 papers that have together received 6.4k 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 (2.2k citations), Algebra and Number Theory (3.0k citations), Geometry and Topology (5.0k citations), Mathematical Physics (2.3k citations) and Computational Mathematics (139 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 the American Mathematical Society, Journal of Algebra 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.

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