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- Andrei Zelevinsky

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
45
Citations
16,023
84
World Ranking
1004
National Ranking
472

2018 - Steele Prize for Seminal Contribution to Research

2013 - Fellow of the American Mathematical Society

- Algebra
- Pure mathematics
- Combinatorics

Pure mathematics, Cluster algebra, Combinatorics, Algebra representation and Algebra are his primary areas of study. His study connects Discrete mathematics and Pure mathematics. Andrei Zelevinsky interconnects Rational function, Simplicial complex, Bethe ansatz and Cyclohedron, Associahedron in the investigation of issues within Cluster algebra.

In general Combinatorics, his work in Laurent polynomial is often linked to Inverse linking many areas of study. His Algebra representation study integrates concerns from other disciplines, such as Affine Lie algebra, Subalgebra and Lie conformal algebra. In his research on the topic of Algebra, CCR and CAR algebras, Operator algebra, Quadratic algebra and Division algebra is strongly related with Quantum group.

- Cluster algebras I: Foundations (1420 citations)
- Cluster algebras II: Finite type classification (661 citations)
- Y-systems and generalized associahedra (510 citations)

His primary scientific interests are in Pure mathematics, Cluster algebra, Combinatorics, Algebra and Type. His studies deal with areas such as Discrete mathematics, Structure and Algebraic number as well as Pure mathematics. Andrei Zelevinsky has researched Cluster algebra in several fields, including Affine transformation, Basis, Rank, Algebra representation and Interpretation.

His Algebra representation study combines topics from a wide range of disciplines, such as Quantum group and Subalgebra. His research investigates the connection with Combinatorics and areas like Simple which intersect with concerns in Complement. His biological study spans a wide range of topics, including Matrix, Associahedron and Coxeter group.

- Pure mathematics (51.49%)
- Cluster algebra (40.59%)
- Combinatorics (37.62%)

- Cluster algebra (40.59%)
- Pure mathematics (51.49%)
- Combinatorics (37.62%)

Andrei Zelevinsky mainly investigates Cluster algebra, Pure mathematics, Combinatorics, Basis and Type. Andrei Zelevinsky performs integrative Cluster algebra and Realization research in his work. The Pure mathematics study combines topics in areas such as Coprime integers, Class and Algebra.

Much of his study explores Combinatorics relationship to Algebra representation. His work deals with themes such as Algebra over a field, Hecke algebra, Standard basis and Lemma, which intersect with Basis. In his work, Rank and Indecomposable module is strongly intertwined with Affine transformation, which is a subfield of Type.

- Cluster algebras IV: Coefficients (457 citations)
- Quivers with potentials and their representations I: Mutations (417 citations)
- Quivers with potentials and their representations II: Applications to cluster algebras (323 citations)

- Algebra
- Combinatorics
- Pure mathematics

His primary areas of investigation include Cluster algebra, Pure mathematics, Integer, Algebra and Interpretation. His Cluster algebra research incorporates themes from Monomial, Algebra representation, Cellular algebra and Series. His Monomial study incorporates themes from Laurent polynomial and Graph.

His work in Algebra representation is not limited to one particular discipline; it also encompasses Combinatorics. His work carried out in the field of Cellular algebra brings together such families of science as Weyl group, Semisimple algebraic group, Affine variety and Coxeter group. His study brings together the fields of Generalization and Algebra.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Discriminants, Resultants, and Multidimensional Determinants

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

**(2013)**

3349 Citations

Cluster algebras I: Foundations

Sergey Fomin;Andrei Zelevinsky.

Journal of the American Mathematical Society **(2001)**

2035 Citations

Cluster algebras I: Foundations

Sergey Fomin;Andrei Zelevinsky.

Journal of the American Mathematical Society **(2001)**

2035 Citations

Cluster algebras II: Finite type classification

Sergey Fomin;Andrei Zelevinsky.

Inventiones Mathematicae **(2003)**

978 Citations

Cluster algebras II: Finite type classification

Sergey Fomin;Andrei Zelevinsky.

Inventiones Mathematicae **(2003)**

978 Citations

Cluster algebras IV: Coefficients

Sergey Fomin;Andrei Zelevinsky.

Compositio Mathematica **(2007)**

707 Citations

Cluster algebras IV: Coefficients

Sergey Fomin;Andrei Zelevinsky.

Compositio Mathematica **(2007)**

707 Citations

Cluster algebras III: Upper bounds and double Bruhat cells

Arkady Berenstein;Sergey Fomin;Andrei Zelevinsky.

Duke Mathematical Journal **(2005)**

612 Citations

Cluster algebras III: Upper bounds and double Bruhat cells

Arkady Berenstein;Sergey Fomin;Andrei Zelevinsky.

Duke Mathematical Journal **(2005)**

612 Citations

Y-systems and generalized associahedra

Sergey Fomin;Andrei Zelevinsky.

Annals of Mathematics **(2003)**

565 Citations

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