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Mathematics

D-Index
38
Citations
14118
World Ranking
2267
National Ranking
955

Research.com Recognitions

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

Overview

Sergey Fomin is affiliated with the University of Michigan-Ann Arbor in the United States. Their research primarily focuses on the field of Mathematics, with specific attention to several subfields including Geometry and Topology, Algebra and Number Theory, Mathematical Physics, Discrete Mathematics and Combinatorics, and Computational Theory and Mathematics.

The topics covered extensively in their work include:

  • Algebraic structures and combinatorial models
  • Commutative Algebra and Its Applications
  • Advanced Topics in Algebra
  • Advanced Algebra and Geometry
  • Advanced Combinatorial Mathematics
  • Polynomial and algebraic computation
  • Advanced Numerical Analysis Techniques

Sergey Fomin has authored numerous papers, with recent publications including the following:

  • "Morsifications and mutations", 2022, Journal of the London Mathematical Society
  • "Universal quivers", 2021, Algebraic Combinatorics
  • "Long mutation cycles", 2023, arXiv (Cornell University)
  • "Introduction to Cluster Algebras. Chapter 7", 2021, arXiv (Cornell University)
  • "Heronian Friezes", 2020, International Mathematics Research Notices

Their research articles have been published across various venues, most frequently appearing in:

  • arXiv (Cornell University)
  • PROCEEDINGS of Nizhnevolzhskiy agrouniversity complex science and higher vocational education
  • Journal of the London Mathematical Society
  • Algebraic Combinatorics
  • International Mathematics Research Notices

Sergey Fomin has collaborated regularly with a number of coauthors in their research work. Frequent collaborators include:

  • Eugeniĭ Shustin
  • Scott Neville
  • Pavlo Pylyavskyy
  • Kiyoshi Igusa
  • Kyungyong Lee

Among their recognitions, they have been awarded the Steele Prize for Seminal Contribution to Research in 2018 and were named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Enumerative Combinatorics: Index

    Richard P. Stanley;Sergey Fomin

  • Cluster algebras I: Foundations

    Sergey Fomin;Andrei Zelevinsky

  • Cluster algebras II: Finite type classification

    Sergey Fomin;Andrei Zelevinsky

  • Cluster algebras IV: Coefficients

    Sergey Fomin;Andrei Zelevinsky

  • Cluster algebras and triangulated surfaces. Part I: Cluster complexes

    Sergey Fomin;Michael Shapiro;Dylan P. Thurston

  • Cluster algebras III: Upper bounds and double Bruhat cells

    Arkady Berenstein;Sergey Fomin;Andrei Zelevinsky

  • Y-systems and generalized associahedra

    Sergey Fomin;Andrei Zelevinsky

  • Double Bruhat cells and total positivity

    Sergey Fomin;Andrei Zelevinsky

  • The Laurent Phenomenon

    Sergey Fomin;Andrei Zelevinsky

  • Parametrizations of Canonical Bases and Totally Positive Matrices

    Arkady Berenstein;Sergey Fomin;Sergey Fomin;Andrei Zelevinsky

  • The Yang-Baxter equation, symmetric functions, and Schubert polynomials

    Sergey Fomin;Anatol N. Kirillov

  • Total Positivity: Tests and Parametrizations

    Sergey Fomin;Andrei Zelevinsky

  • Polytopal realizations of generalized associahedra

    Frédéric Chapoton;Sergey Fomin;Andrei Zelevinsky

  • Schubert Polynomials and the Nilcoxeter Algebra

    Sergey Fomin;Richard P. Stanley

  • Duality of Graded Graphs

    Sergey Fomin

  • Quantum Schubert polynomials

    Sergey Fomin;Sergei Gelfand;Alexander Postnikov

  • Quadratic Algebras, Dunkl Elements, and Schubert Calculus

    Sergey Fomin;Anatol N. Kirillov

  • Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths

    Sergey Fomin;Dylan Thurston

  • Generalized cluster complexes and Coxeter combinatorics

    Sergey Fomin;Nathan Reading

  • Noncommutative Schur functions and their applications

    Sergey Fomin;Curtis Greene

Frequent Co-Authors

Andrei Zelevinsky
Andrei Zelevinsky Northeastern University
William Fulton
William Fulton University of Michigan–Ann Arbor
Chi-Kwong Li
Chi-Kwong Li William & Mary
Claudio Procesi
Claudio Procesi Sapienza University of Rome
Alexander Barvinok
Alexander Barvinok University of Michigan–Ann Arbor
Lauren Williams
Lauren Williams Harvard University

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