What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Cluster algebras I: Foundations (1420 citations)
- Enumerative Combinatorics: Index (1192 citations)
- Cluster algebras II: Finite type classification (661 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (48.48%)
- Combinatorics (46.46%)
- Algebra (30.30%)
What were the highlights of his more recent work (between 2014-2021)?
- Pure mathematics (48.48%)
- Combinatorics (46.46%)
- Cluster algebra (26.26%)
In recent papers he was focusing on the following fields of study:
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.
Between 2014 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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