Sergey Fomin

18.1k total citations · 9 hit papers
73 papers, 9.7k citations indexed

About

Sergey Fomin is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Sergey Fomin has authored 73 papers receiving a total of 9.7k indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Discrete Mathematics and Combinatorics, 36 papers in Geometry and Topology and 28 papers in Algebra and Number Theory. Recurrent topics in Sergey Fomin's work include Advanced Combinatorial Mathematics (38 papers), Algebraic structures and combinatorial models (31 papers) and Advanced Topics in Algebra (21 papers). Sergey Fomin is often cited by papers focused on Advanced Combinatorial Mathematics (38 papers), Algebraic structures and combinatorial models (31 papers) and Advanced Topics in Algebra (21 papers). Sergey Fomin collaborates with scholars based in United States, Russia and Japan. Sergey Fomin's co-authors include Andrei Zelevinsky, Richard P. Stanley, Ya. G. Sinaǐ, I. P. Cornfeld, A. N. Kolmogorov, R. A. Silverman, V. М. Tikhomirov, V. М. Alekseev, Arkady Berenstein and Dylan P. Thurston and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Sergey Fomin

67 papers receiving 8.5k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Ergodic Theory

1982 1.8k citations Sergey Fomin et al. profile →
Enumerative Combinatorics

1999 1.3k citations Richard P. Stanley, Sergey Fomin Cambridge University Press eBooks profile →
Elements of the Theory of Functions and Functional Analysis

1961 1.3k citations Sergey Fomin et al. CERN Document Server (European Organization for Nuclear Research) profile →
Introductory Real Analysis.

1971 879 citations A. N. Kolmogorov, Sergey Fomin et al. profile →
Cluster algebras I: Foundations

2001 824 citations Sergey Fomin, Andrei Zelevinsky profile →
Cluster algebras IV: Coefficients

2007 307 citations Sergey Fomin, Andrei Zelevinsky profile →
Cluster algebras and triangulated surfaces. Part I: Cluster complexes

2008 253 citations Sergey Fomin et al. profile →
Cluster algebras III: Upper bounds and double Bruhat cells

2005 239 citations Arkady Berenstein, Sergey Fomin et al. profile →
Y -systems and generalized associahedra

2003 238 citations Sergey Fomin et al. profile →

Peers

Countries citing papers authored by Sergey Fomin

Since Specialization

Citations

This map shows the geographic impact of Sergey Fomin'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 Sergey Fomin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sergey Fomin more than expected).

Fields of papers citing papers by Sergey Fomin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sergey Fomin. 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 Sergey Fomin. The network helps show where Sergey Fomin may publish in the future.

Co-authorship network of co-authors of Sergey Fomin

This figure shows the co-authorship network connecting the top 25 collaborators of Sergey Fomin. A scholar is included among the top collaborators of Sergey Fomin based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Sergey Fomin. Sergey Fomin is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

#	Work	Indexed citations
1	Expressive curves 2023 ·Sergey Fomin, Eugeniĭ Shustin	0
2	A Combined Finite Element and Machine Learning Approach to Accelerate Calibration and Validation of Numerical Models for Prediction of Failure in Aerospace Composite Parts 2023 ·(unknown), (unknown), (unknown), (unknown), Sergey Fomin, (unknown), John Qi Dong, Navid Zobeiry	2
3	Subtraction-free complexity and cluster transformations. 2013 ·arXiv (Cornell University) ·Sergey Fomin, Dima Grigoriev, Gleb Koshevoy	1
4	Labeled floor diagrams for plane curves 2010 ·Journal of the European Mathematical Society ·Sergey Fomin, Grigory Mikhalkin	30
5	Noncommutative Schur functions and their applications 2006 ·Discrete Mathematics ·Sergey Fomin, Curtis Greene	49
6	The Laurent Phenomenon 2002 ·Advances in Applied Mathematics ·Sergey Fomin, Andrei Zelevinsky	147
7	Finite Posets and Ferrers Shapes 2001 ·Advances in Mathematics ·Thomas Britz, Sergey Fomin	20
8	Specific Structural Features of the Pectoral Arch and Phylogenetic Relations in Some Mammalian Taxa 2000 ·Doklady Biological Sciences ·Sergey Fomin, (unknown)	3
9	Enumerative Combinatorics breakdown → 1999 ·Cambridge University Press eBooks ·Richard P. Stanley, Sergey Fomin	1297
10	Noncommutative schur functions and their applications 1998 ·Discrete Mathematics ·Sergey Fomin, Curtis Greene	54
11	Balanced Labellings and Schubert Polynomials 1997 ·European Journal of Combinatorics ·Sergey Fomin, Curtis Greene, Victor Reiner, Mark Shimozono	19
12	Sparse Interpolation of Symmetric Polynomials 1997 ·Advances in Applied Mathematics ·Alexander Barvinok, Sergey Fomin	5
13	Parametrizations of Canonical Bases and Totally Positive Matrices 1996 ·Advances in Mathematics ·Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky	140
14	The Yang-Baxter equation, symmetric functions, and Schubert polynomials 1996 ·Discrete Mathematics ·Sergey Fomin, Anatol N. Kirillov	109
15	Problem 244. Generalizations of the Greene-Kleitman theorem. 1996 ·Discrete Mathematics ·Sergey Fomin	1
16	Schubert Polynomials and the Nilcoxeter Algebra 1994 ·Advances in Mathematics ·Sergey Fomin, Richard P. Stanley	78
17	A Littlewood-Richardson Miscellany 1993 ·European Journal of Combinatorics ·Sergey Fomin, Curtis Greene	22
18	Multiple integrals, field theory and series : an advanced course in higher mathematics 1973 ·(unknown), Sergey Fomin, V. M. Volosov	8
19	Measure, Lebesgue integrals, and Hilbert space 1961 ·Academic Press eBooks ·A. N. Kolmogorov, Sergey Fomin, (unknown), Alan Jeffrey	21
20	Elements of the Theory of Functions and Functional Analysis breakdown → 1961 ·CERN Document Server (European Organization for Nuclear Research) ·(unknown), Sergey Fomin	1267

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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