2026 Andrei Zelevinsky: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	49	1114	512	88	17989

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

1114

512

17989

Research.com Recognitions

2018 - Steele Prize for Seminal Contribution to Research
2013 - Fellow of the American Mathematical Society

Overview

Andrei Zelevinsky was affiliated with Northeastern University in the United States. Their research primarily focused on the field of Mathematics, with specific contributions in related subfields including Materials Chemistry, Algebra and Number Theory, Geometry and Topology, and Catalysis.

Their recent publications included:

Introduction to Cluster Algebras. Chapter 7, 2021, published in arXiv (Cornell University)
Introduction to Cluster Algebras. Chapter 6, 2020, published in arXiv (Cornell University)

They collaborated frequently with Sergey Fomin and Lauren Williams. Both coauthors contributed to multiple works in common with Zelevinsky.

Zelevinsky's research addressed several main topics, such as:

Nanocluster Synthesis and Applications
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Catalysis and Oxidation Reactions

The scientist's publications appeared predominantly in arXiv (Cornell University), indicating a focus on preprint dissemination in the academic community.

Over the course of their career, Zelevinsky received recognition through awards including the Steele Prize for Seminal Contribution to Research in 2018, and they were named a Fellow of the American Mathematical Society in 2013.

Best Publications

Discriminants, Resultants, and Multidimensional Determinants

Izrailʹ Moiseevich Gelʹfand;M. M. Kapranov;Andrey V. Zelevinsky

3698
Citations
Cluster algebras I: Foundations

Sergey Fomin;Andrei Zelevinsky

2310
Citations
Cluster algebras II: Finite type classification

Sergey Fomin;Andrei Zelevinsky

1112
Citations
Cluster algebras IV: Coefficients

Sergey Fomin;Andrei Zelevinsky

812
Citations
Cluster algebras III: Upper bounds and double Bruhat cells

Arkady Berenstein;Sergey Fomin;Andrei Zelevinsky

693
Citations
Y-systems and generalized associahedra

Sergey Fomin;Andrei Zelevinsky

618
Citations
Quivers with potentials and their representations I: Mutations

Harm Derksen;Jerzy Weyman;Andrei Zelevinsky

521
Citations
Representations of Finite Classical Groups: A Hopf Algebra Approach

A. V. Zelevinsky;Andrey V. Zelevinsky

474
Citations
Representations of Finite Classical Groups

Andrey V. Zelevinsky

406
Citations
Double Bruhat cells and total positivity

Sergey Fomin;Andrei Zelevinsky

400
Citations
Generalized Euler integrals and A-hypergeometric functions

I.M Gelfand;M.M Kapranov;A.V Zelevinsky

395
Citations
Quivers with potentials and their representations II: Applications to cluster algebras

Harm Derksen;Jerzy Weyman;Andrei Zelevinsky

392
Citations
The Laurent Phenomenon

Sergey Fomin;Andrei Zelevinsky

384
Citations
Quantum cluster algebras

Arkady Berenstein;Andrei Zelevinsky

373
Citations
Parametrizations of Canonical Bases and Totally Positive Matrices

Arkady Berenstein;Sergey Fomin;Sergey Fomin;Andrei Zelevinsky

360
Citations
Tensor product multiplicities, canonical bases and totally positive varieties

Arkady Berenstein;Andrei Zelevinsky

356
Citations
Total Positivity: Tests and Parametrizations

Sergey Fomin;Andrei Zelevinsky

279
Citations
Polytopal realizations of generalized associahedra

Frédéric Chapoton;Sergey Fomin;Andrei Zelevinsky

271
Citations
Generalized associahedra via quiver representations

Robert Marsh;Markus Reineke;Andrei Zelevinsky

229
Citations
Polyhedral Realizations of Crystal Bases for Quantized Kac-Moody Algebras

Toshiki Nakashima;Andrei Zelevinsky

204
Citations

Frequent Co-Authors

Sergey Fomin University of Michigan–Ann Arbor

Jerzy Weyman University of Connecticut

Bernd Sturmfels Max Planck Institute for Mathematics in the Sciences

Mikhail Kapranov Kavli Institute for the Physics and Mathematics of the Universe

Harm Derksen University of Michigan–Ann Arbor

Joachim Rosenthal University of Zurich

Lauren Williams Harvard University

External Links

Wikipedia of Andrei Zelevinsky Personal website of Andrei Zelevinsky Google Scholar page

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