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- Sergey Fomin

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
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
35
Citations
12,220
67
World Ranking
1846
National Ranking
791

2018 - Steele Prize for Seminal Contribution to Research

2013 - Fellow of the American Mathematical Society

- Algebra
- Combinatorics
- Pure mathematics

Sergey Fomin mostly deals with Pure mathematics, Cluster algebra, Combinatorics, Algebra representation and Discrete mathematics. His work in the fields of Pure mathematics, such as Representation theory, Laurent series and Simple Lie group, overlaps with other areas such as Phenomenon. Cluster algebra is the subject of his research, which falls under Algebra.

His Laurent polynomial and Conjecture study in the realm of Combinatorics interacts with subjects such as Large class and Property. His Algebra representation study combines topics in areas such as Affine Lie algebra, Subalgebra and Lie conformal algebra. His study in the field of Enumerative combinatorics, Polynomial sequence, Association scheme and Extremal combinatorics is also linked to topics like Index.

- Cluster algebras I: Foundations (1420 citations)
- Enumerative Combinatorics: Index (1192 citations)
- Cluster algebras II: Finite type classification (661 citations)

His primary areas of investigation include Pure mathematics, Combinatorics, Algebra, Cluster algebra and Discrete mathematics. His studies in Pure mathematics integrate themes in fields like Ring and Algebraic number. His study in Combinatorics is interdisciplinary in nature, drawing from both Mathematical proof and Schur complement.

His work on Schubert polynomial, Schubert variety and Generalized flag variety as part of general Algebra research is often related to Schubert calculus, thus linking different fields of science. His research integrates issues of Structure, Surface, Algebra representation and Laurent polynomial in his study of Cluster algebra. His Discrete mathematics study combines topics from a wide range of disciplines, such as Computational complexity theory and Bounded function.

- Pure mathematics (48.48%)
- Combinatorics (46.46%)
- Algebra (30.30%)

- Pure mathematics (48.48%)
- Combinatorics (46.46%)
- Cluster algebra (26.26%)

His main research concerns Pure mathematics, Combinatorics, Cluster algebra, Algebra and Plane curve. His study in Pure mathematics focuses on Symmetric function in particular. His research in the fields of Schur polynomial, Graph and Existential quantification overlaps with other disciplines such as Relation and Commutation.

His Cluster algebra study incorporates themes from Structure, Complex vector, Algebraic number and Tensor. He has included themes like Elementary symmetric polynomial and Noncommutative symmetric function in his Algebra study. In general Plane curve, his work in Affine plane is often linked to Irreducible component linking many areas of study.

- Introduction to Cluster Algebras. Chapters 1-3 (40 citations)
- Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths (33 citations)
- Tensor diagrams and cluster algebras (27 citations)

- Algebra
- Combinatorics
- Pure mathematics

Sergey Fomin spends much of his time researching Pure mathematics, Cluster algebra, Algebra, Gravitational singularity and Plane curve. Many of his studies involve connections with topics such as Space and Pure mathematics. Sergey Fomin has researched Cluster algebra in several fields, including Structure, Surface, Geodesic and Interpretation.

His Gravitational singularity study frequently intersects with other fields, such as Equivalence.

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.

Enumerative Combinatorics: Index

Richard P. Stanley;Sergey Fomin.

**(1999)**

2073 Citations

Enumerative Combinatorics: Index

Richard P. Stanley;Sergey Fomin.

**(1999)**

2073 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 and triangulated surfaces. Part I: Cluster complexes

Sergey Fomin;Michael Shapiro;Dylan P. Thurston.

Acta Mathematica **(2008)**

680 Citations

Cluster algebras and triangulated surfaces. Part I: Cluster complexes

Sergey Fomin;Michael Shapiro;Dylan P. Thurston.

Acta Mathematica **(2008)**

680 Citations

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