Andrei Zelevinsky | Academic Influence

Andrei Zelevinsky's AcademicInfluence.com Rankings

Andrei Zelevinsky

Mathematics

#921

World Rank

#1612

Historical Rank

#404

USA Rank

Measure Theory

#2704

World Rank

#3231

Historical Rank

#779

USA Rank

mathematics Degrees

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Mathematics

Andrei Zelevinsky's Degrees

PhD Mathematics Moscow State University

Why Is Andrei Zelevinsky Influential?

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According to Wikipedia, Andrei Vladlenovich Zelevinsky was a Russian-American mathematician who made important contributions to algebra, combinatorics, and representation theory, among other areas. Biography Zelevinsky graduated in 1969 from the Moscow Mathematical School No. 2. After winning a silver medal as a member of the USSR team at the International Mathematical Olympiad he was admitted without examination to the mathematics department of Moscow State University where he obtained his PhD in 1978 under the mentorship of Joseph Bernstein, Alexandre Kirillov and Israel Gelfand.

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Andrei Zelevinsky'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)
Cluster algebras II: Finite type classification (2002) (947)
Cluster algebras IV: Coefficients (2006) (629)
Cluster algebras III: Upper bounds and double Bruhat cells (2003) (605)
Y-systems and generalized associahedra (2001) (521)
Quivers with potentials and their representations I: Mutations (2007) (447)
Quivers with potentials and their representations II: Applications to cluster algebras (2009) (426)
Double Bruhat cells and total positivity (1998) (344)
Tensor product multiplicities, canonical bases and totally positive varieties (1999) (334)
Quantum cluster algebras (2004) (332)
The Laurent Phenomenon (2001) (326)
Parametrizations of Canonical Bases and Totally Positive Matrices (1996) (311)
Generalized Euler integrals and A-hypergeometric functions (1990) (271)
Total Positivity: Tests and Parametrizations (1999) (214)
Polytopal Realizations of Generalized Associahedra (2002) (210)
Generalized associahedra via quiver representations (2002) (209)
Total positivity in Schubert varieties (1997) (158)
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types (2003) (150)
Triple Multiplicities for sl(r + 1) and the Spectrum of the Exterior Algebra of the Adjoint Representation (1992) (138)
On tropical dualities in cluster algebras (2011) (134)
Polyhedral Realizations of Crystal Bases for Quantized Kac-Moody Algebras (1997) (130)
Cluster algebras: Notes for the CDM-03 conference (2003) (126)
Chow polytopes and general resultants (1992) (126)
Tensor product multiplicities and convex polytopes in partition space (1988) (121)
String bases for quantum groups of type ᵣ (1993) (116)
Multiple Flag Varieties of Finite Type (1998) (106)
Multigraded Resultants of Sylvester Type (1994) (106)
Quasicommuting families of quantum Plücker coordinates (1998) (105)
Maximal Minors and Their Leading Terms (1993) (93)
Canonical bases for the quantum group of type $A_r$ and piecewise-linear combinatorics (1996) (93)
A generalization of the Littlewood-Richardson rule and the Robinson-Schensted-Knuth correspondence (1981) (92)
Cluster Algebras of Finite Type and Positive Symmetrizable Matrices (2004) (78)
Cluster Algebras of Finite Type via Coxeter Elements and Principal Minors (2008) (74)
Nested complexes and their polyhedral realizations (2005) (74)
Littlewood-Richardson semigroups (1997) (59)
Symplectic Multiple Flag Varieties of Finite Type (1998) (58)
On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups (2002) (55)
Combinatorics of Maximal Minors (1993) (53)
Introduction to Cluster Algebras. Chapters 1-3 (2016) (50)
Singularities of hyperdeterminants (1996) (50)
Newton polytopes of the classical resultant and discriminant (1990) (46)
Greedy elements in rank 2 cluster algebras (2012) (42)
Connected components of real double Bruhat cells (2000) (38)
Laurent expansions in cluster algebras via quiver representations (2006) (32)
From Littlewood-Richardson Coefficients to Cluster Algebras in Three Lectures (2001) (31)
TRIANGULAR BASES IN QUANTUM CLUSTER ALGEBRAS (2012) (31)
Multiplicities of Points on Schubert Varieties in Grassmannians (1999) (31)
A correction to the paper “hypergeometric functions and toric varieties” (1993) (28)
Semicanonical Basis Generators of the Cluster Algebra of Type A1(1) (2006) (27)
Totally nonnegative and oscillatory elements in semisimple groups (1998) (26)
Simply laced coxeter groups and groups generated by symplectic transvections (1999) (23)
HYPERGEOMETRIC FUNCTIONS, TORIC VARIETIES AND NEWTON POLYHEDRA (1991) (22)
Multiplicative properties of projectively dual varieties (1994) (22)
Recognizing Schubert Cells (1998) (21)
Strongly primitive species with potentials I: mutations (2013) (21)
Representations of Quivers of TypeAand the Multisegment Duality (1996) (20)
Cluster algebras: notes for 2004 IMCC (Chonju, Korea, August 2004) (2004) (19)
Greedy bases in rank 2 quantum cluster algebras (2014) (18)
UPPER BOUNDS AND DOUBLE BRUHAT CELLS (2003) (13)
Representation models for classical groups and their higher symmetries (1985) (11)
Mutations for quivers with potentials: Oberwolfach talk, April 2007 (2007) (11)
Positivity and tameness in rank 2 cluster algebras (2013) (11)
Discriminants and Resultants for Forms in Several Variables (1994) (9)
Enumeration in Algebra and Geometry (1997) (7)
Geometry and combinatorics related to vector partition functions (1990) (5)
Cluster Algebras of finite type and symmetrizable matrices (2004) (5)
Quantum cluster algebras: Oberwolfach talk, February 2005 (2005) (4)
Introduction to Cluster Algebras. Chapter 6 (2020) (3)
Principal A-Determinants (1994) (3)
Quiver Grassmannians and their Euler characteristics: Oberwolfach talk, May 2010 (2010) (3)
Double Bruhat Cells and Total Positivity Sergey Fomin and Andrei Zelevinsky Contents (1998) (1)
Triangulations and Secondary Polytopes (1994) (1)
A-Resultants and Chow Polytopes of Toric Varieties (1994) (1)
Total Positivity: Tests and Parametrizations Sergey Fomin and Andrei Zelevinsky Introduction (2000) (1)
Discriminants and Resultants for Polynomials in One Variable (1994) (1)
Simple vertices of maximal minor polytopes (1994) (1)
C O ] 2 0 A ug 2 02 0 Introduction to Cluster Algebras Chapters 4 – 5 ( preliminary version ) (2017) (0)
Associated Varieties and General Resultants (1994) (0)
The Cayley Method for Studying Discriminants (1994) (0)
Double Bruhat cells in semisimple Lie groups (2000) (0)
Demonet, Laurent Cluster algebras and preprojective algebras: the non-simply laced case. (Algèbres amassées (2022) (0)
R A ] 9 N ov 2 01 2 GREEDY ELEMENTS IN RANK 2 CLUSTER ALGEBRAS (2018) (0)
Tota Positivity: Tests and Param etrizat i o n s (2000) (0)
Regular A-Determinants and A-Discriminants (1994) (0)
Greedy elements in rank 2 cluster algebras (2012) (0)
Newton Polytopes and Chow Polytopes (1994) (0)
Positivity and tameness in rank 2 cluster algebras (2014) (0)
2 5 A pr 2 00 0 CONNECTED COMPONENTS OF REAL DOUBLE BRUHAT CELLS (2008) (0)
Ju l 2 00 5 NESTED COMPLEXES AND THEIR POLYHEDRAL REALIZATIONS (2008) (0)
REMEMBERING BELLA ABRAMOVNA (2005) (0)
Projective Dual Varieties and General Discriminants (1994) (0)
RECOGNIZING SCHUBERT CELLSSERGEY FOMIN AND (1998) (0)
Introduction to Cluster Algebras Chapters 1 – 3 ( preliminary version ) (2020) (0)
ANDREI ZELEVINSKY, 1953–2013 (2014) (0)
Strongly primitive species with potentials I: mutations (2015) (0)
A ug 2 02 1 Introduction to Cluster Algebras Chapters 4 – 5 ( preliminary version ) (2020) (0)
1 2 Ju l 1 99 8 SYMPLECTIC MULTIPLE FLAG VARIETIES OF FINITE TYPE (2008) (0)
Visibles Revisited (2005) (0)
CHOW POLYTOPES(Special Differential Equations) (1991) (0)
2. The Caterpillar Lemma 4 (2001) (0)
J un 2 02 1 Introduction to Cluster Algebras Chapter 7 ( preliminary version ) (2021) (0)
ON THE DUALS OF SEGRE VARIETIES (2002) (0)

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