Sergey Fomin

Q: What Schools Are Affiliated With Sergey Fomin

Sergey Fomin is affiliated with the following schools: University of Michigan, University of Notre Dame, Massachusetts Institute of Technology, Saint Petersburg State University

Sergey Fomin's AcademicInfluence.com Rankings

Sergey Fomin

Mathematics

#1858

World Rank

#2955

Historical Rank

#751

USA Rank

Combinatorics

#40

World Rank

#45

Historical Rank

#10

USA Rank

Algebraic Geometry

#170

World Rank

#178

Historical Rank

#42

USA Rank

Measure Theory

#2760

World Rank

#3296

Historical Rank

#796

USA Rank

mathematics Degrees

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Mathematics

Why Is Sergey Fomin Influential?

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According to Wikipedia, Sergey Vladimirovich Fomin is a Russian American mathematician who has made important contributions in combinatorics and its relations with algebra, geometry, and representation theory. Together with Andrei Zelevinsky, he introduced cluster algebras.

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Sergey Fomin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Cluster algebras I: Foundations (2001) (1841)
Enumerative Combinatorics: Index (1999) (1073)
Cluster algebras II: Finite type classification (2002) (947)
Cluster algebras and triangulated surfaces. Part I: Cluster complexes (2006) (665)
Cluster algebras IV: Coefficients (2006) (629)
Cluster algebras III: Upper bounds and double Bruhat cells (2003) (605)
Y-systems and generalized associahedra (2001) (521)
Double Bruhat cells and total positivity (1998) (344)
The Laurent Phenomenon (2001) (326)
Parametrizations of Canonical Bases and Totally Positive Matrices (1996) (311)
The Yang-Baxter equation, symmetric functions, and Schubert polynomials (1996) (224)
Total Positivity: Tests and Parametrizations (1999) (214)
Polytopal Realizations of Generalized Associahedra (2002) (210)
Grothendieck polynomials and the Yang - Baxter equation (1994) (178)
Schubert Polynomials and the Nilcoxeter Algebra (1994) (176)
Quadratic Algebras, Dunkl Elements, and Schubert Calculus (1999) (167)
Quantum Schubert polynomials (1997) (160)
Root systems and generalized associahedra (2005) (159)
Duality of Graded Graphs (1994) (156)
Noncommutative schur functions and their applications (2006) (150)
Generalized cluster complexes and Coxeter combinatorics (2005) (142)
Cluster algebras: Notes for the CDM-03 conference (2003) (126)
Schensted Algorithms for Dual Graded Graphs (1995) (108)
Combinatorial $B_n$-analogues of Schubert polynomials (1993) (106)
Generalized Robinson-Schensted-Knuth correspondence (1988) (95)
Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths (2012) (87)
Loop-erased walks and total positivity (2000) (86)
Mixed Bruhat Operators and Yang-Baxter Equations for Weyl Groups (1998) (84)
Labeled floor diagrams for plane curves (2009) (71)
Total positivity and cluster algebras (2010) (69)
Schur Operators and Knuth Correspondences (1995) (65)
Balanced Labellings and Schubert Polynomials (1997) (58)
Tensor diagrams and cluster algebras (2012) (51)
Introduction to Cluster Algebras. Chapters 1-3 (2016) (50)
On the number of rim hook tableaux (1997) (47)
Symmetric functions 2001 : surveys of developments and perspectives (2002) (44)
Finite Posets and Ferrers Shapes (1999) (40)
A Littlewood-Richardson Miscellany (1993) (38)
Reduced Words and Plane Partitions (1997) (28)
Totally nonnegative and oscillatory elements in semisimple groups (1998) (26)
Yang-Baxter equation, symmetric functions and Grothendieck polynomials (1993) (22)
Fibered Quadratic Hopf Algebras Related to Schubert Calculus (2000) (22)
Morsifications and mutations (2017) (21)
Stratified spaces formed by totally positive varieties (1999) (21)
Recognizing Schubert Cells (1998) (21)
Webs on surfaces, rings of invariants, and clusters (2013) (20)
Subtraction-Free Complexity, Cluster Transformations, and Spanning Trees (2013) (19)
Noncommutative Schur functions, switchboards, and Schur positivity (2015) (18)
Universal exponential solution of the Yang-Baxter equation (1993) (13)
UPPER BOUNDS AND DOUBLE BRUHAT CELLS (2003) (13)
Sparse Interpolation of Symmetric Polynomials (1997) (10)
Lecture notes on quantum cohomology of the flag manifold (1999) (5)
On semiring complexity of Schur polynomials (2016) (3)
Enumerative Combinatorics: Trees and the Composition of Generating Functions (1999) (3)
Universal quivers (2020) (3)
Introduction to Cluster Algebras. Chapter 6 (2020) (3)
Subtraction-free complexity and cluster transformations (2013) (2)
Rules of Three for commutation relations (2016) (2)
A dielectric model for frozen mineral soils at a frequency of 435 MHz (2021) (1)
Coordinate rings and birational charts (2021) (1)
THE STRUCTURE OF THE UNIVERSAL EXPONENTIAL SOLUTION OF THE YANG-BAXTER EQUATION (1994) (1)
Enumerative Combinatorics: Additional Errata and Addenda (1999) (1)
Problem 244. Generalizations of the Greene-Kleitman theorem. (1996) (1)
Generalizations of the Greene-Kleitman theorem (1994) (1)
Introduction to Cluster Algebras Chapters 1 – 3 ( preliminary version ) (2020) (0)
Long mutation cycles (2023) (0)
C O ] 2 0 A ug 2 02 0 Introduction to Cluster Algebras Chapters 4 – 5 ( preliminary version ) (2017) (0)
A ug 2 02 1 Introduction to Cluster Algebras Chapters 4 – 5 ( preliminary version ) (2020) (0)
Heronian Friezes (2019) (0)
Enumerative Combinatorics: Foreword (1999) (0)
J un 2 02 1 Introduction to Cluster Algebras Chapter 7 ( preliminary version ) (2021) (0)
Enumerative Combinatorics: Notation (1999) (0)
Expressive curves (2020) (0)
Tota Positivity: Tests and Param etrizat i o n s (2000) (0)
Algebraic, D-Finite, and Noncommutative Generating Functions (1999) (0)
On semiring complexity of Schur polynomials (2018) (0)
Noncommutative Schur functions, switchboards, and Schur positivity (2016) (0)
Enumerative Combinatorics: Preface (1997) (0)
Duality of Graded Graphs t (2003) (0)
The Geometry and Combinatorics of Ehrhart δ-Vectors (2009) (0)
Subtraction-Free Complexity, Cluster Transformations, and Spanning Trees (2014) (0)
Inverting the Frobenius mapSergey Fomin (1997) (0)
Enumerative Combinatorics: Symmetric Functions (1999) (0)

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What Schools Are Affiliated With Sergey Fomin?

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Sergey Fomin's Published Works

Published Works

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What Schools Are Affiliated With Sergey Fomin?

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