Lauren Williams

Q: What Schools Are Affiliated With Lauren Williams

Lauren Williams is affiliated with the following schools: University of California, Berkeley, Princeton University, Stanford University, Massachusetts Institute of Technology, Mercyhurst University, Harvard University

Lauren Williams 's AcademicInfluence.com Rankings

Lauren Williams

Mathematics

#4917

World Rank

#6945

Historical Rank

#1652

USA Rank

Measure Theory

#3703

World Rank

#4368

Historical Rank

#1064

USA Rank

mathematics Degrees

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Mathematics

Lauren Williams 's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Lauren Williams Influential?

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According to Wikipedia, Lauren Kiyomi Williams is an American mathematician known for her work on cluster algebras, tropical geometry, algebraic combinatorics, amplituhedra, and the positive Grassmannian. She is Dwight Parker Robinson Professor of Mathematics at Harvard University.

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Lauren Williams '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 (2014) (695)
Faces of generalized permutohedra (2006) (302)
Positivity for cluster algebras from surfaces (2009) (203)
The Tropical Totally Positive Grassmannian (2003) (143)
Tableaux combinatorics for the asymmetric exclusion process (2006) (143)
Bases for cluster algebras from surfaces (2011) (136)
Enumeration of totally positive Grassmann cells (2003) (132)
KP solitons and total positivity for the Grassmannian (2011) (125)
Permutation tableaux and permutation patterns (2005) (113)
Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials (2009) (107)
Matching polytopes, toric geometry, and the totally non-negative Grassmannian (2009) (90)
Newton–Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians (2017) (73)
The Deodhar decomposition of the Grassmannian and the regularity of KP solitons (2012) (73)
A Markov Chain on Permutations which Projects to the PASEP (2006) (69)
Cluster algebras: an introduction (2012) (68)
KP solitons, total positivity, and cluster algebras (2011) (63)
Shelling totally nonnegative flag varieties (2005) (59)
Formulae for Askey-Wilson moments and enumeration of staircase tableaux (2010) (54)
Positroids and non-crossing partitions (2013) (53)
Total positivity for cominuscule Grassmannians (2007) (51)
Introduction to Cluster Algebras. Chapters 1-3 (2016) (50)
Bruhat Interval Polytopes (2014) (49)
Matrix formulae and skein relations for cluster algebras from surfaces (2011) (48)
The m=1 amplituhedron and cyclic hyperplane arrangements (2016) (45)
MATCHING POLYTOPES, TORIC GEOMETRY, AND THE NON-NEGATIVE PART OF THE GRASSMANNIAN (2007) (44)
The Full Kostant–Toda Hierarchy on the Positive Flag Variety (2013) (40)
Staircase tableaux, the asymmetric exclusion process, and Askey-Wilson polynomials (2009) (39)
The Positive Tropical Grassmannian, the Hypersimplex, and the m = 2 Amplituhedron (2020) (38)
Discrete Morse theory for totally non-negative flag varieties☆ (2008) (32)
The Totally Nonnegative Part of G/P is a CW Complex (2008) (29)
Positively oriented matroids are realizable (2013) (27)
Combinatorial Hopf algebras, noncommutative Hall–Littlewood functions, and permutation tableaux (2008) (27)
Decompositions of amplituhedra (2017) (26)
Combinatorics of the two-species ASEP and Koornwinder moments (2015) (26)
Bergman complexes, Coxeter arrangements, and graph associahedra. (2005) (25)
The positive Dressian equals the positive tropical Grassmannian (2020) (24)
The Matrix Ansatz, orthogonal polynomials, and permutations (2010) (24)
Cluster structures in Schubert varieties in the Grassmannian (2019) (23)
Macdonald–Koornwinder moments and the two-species exclusion process (2015) (23)
From multiline queues to Macdonald polynomials via the exclusion process (2018) (22)
Network Parameterizations for the Grassmannian (2012) (22)
The m=2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers (2021) (21)
A Markov Chain on the Symmetric Group That Is Schubert Positive? (2012) (19)
Permutation tableaux and the asymmetric exclusion process (2006) (18)
On Landau-Ginzburg models for quadrics and flat sections of Dubrovin connections (2014) (16)
Cluster duality and mirror symmetry for Grassmannians (2015) (16)
The positive Bergman complex of an oriented matroid (2004) (16)
Tableaux Combinatorics for the Asymmetric Exclusion Process II (2008) (16)
Higher secondary polytopes and regular plabic graphs (2019) (13)
A Markov chain on the symmetric group which is Schubert positive (2011) (13)
Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials (2019) (12)
The measurement of quantum entanglement and enumeration of graph coverings (2009) (11)
Enumerating Up-Side Self-Avoiding Walks on Integer Lattices (1996) (11)
The positive Grassmannian, the amplituhedron, and cluster algebras (2021) (11)
Combinatorics of the asymmetric exclusion process on a semi-infinite lattice (2012) (10)
A positive Grassmannian analogue of the permutohedron (2015) (8)
The adjoint representation of a Lie algebra and the support of Kostant's weight multiplicity formula (2013) (7)
The adjoint representation of a classical Lie algebra and the support of Kostant's weight multiplicity formula (2015) (7)
Erratum to “Tableaux combinatorics for the asymmetric exclusion process and Askey–Wilson polynomials” (2013) (6)
Symmetric matrices, Catalan paths, and correlations (2015) (5)
Schubert polynomials and the inhomogeneous TASEP on a ring (2021) (5)
Polyhedral and Tropical Geometry of Flag Positroids (2022) (4)
Combinatorics of KP Solitons from the Real Grassmannian (2012) (3)
Combinatorics of cluster structures in Schubert varieties (2018) (3)
COXETER ARRANGEMENTS , AND GRAPH ASSOCIAHEDRA (2006) (3)
Grass trees and forests: Enumeration of Grassmannian trees and forests, with applications to the momentum amplituhedron (2021) (3)
Schubert polynomials, the inhomogeneous TASEP, and evil-avoiding permutations (2021) (2)
THE REPRESENTATIONS OF THE SYMMETRIC GROUP (1999) (1)
PERMUTATION TABLEAUX AND THE ASYMMETRIC EXCLUSION (2007) (1)
Total positivity for cominuscule (2008) (1)
Invariant polynomials on tensors under the action of a product of orthogonal groups (2015) (1)
C O ] 1 6 M ay 2 01 0 DISCRETE MORSE THEORY FOR TOTALLY NON-NEGATIVE FLAG VARIETIES KONSTANZE RIETSCH (2010) (0)
Cylindric Rhombic Tableaux and the Two-Species ASEP on a Ring (2018) (0)
Invariant polynomial functions on tensors under the action of a product of orthogonal groups (2012) (0)
Grass(mannian) trees and forests: Variations of the exponential formula, with applications to the momentum amplituhedron (2023) (0)
Positroids, non-crossing partitions, and positively oriented matroids (2014) (0)
Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials (2022) (0)
A ug 2 02 1 Introduction to Cluster Algebras Chapters 4 – 5 ( preliminary version ) (2020) (0)
A combinatorial formula for Askey-Wilson moments 6 3 . Explicit formulae for Askey-Wilson moments and staircase tableaux 11 (2010) (0)
The Full Kostant–Toda Hierarchy on the Positive Flag Variety (2014) (0)
Abstract Invariant Polynomials on Tensors Under the Action of a Product of Orthogonal Groups by (2013) (0)
OF KP SOLITONS FROM THE REAL GRASSMANNIAN (2012) (0)
Macdonald–Koornwinder moments and the two-species exclusion process (2017) (0)
KP solitons and total positivity for the Grassmannian (2014) (0)
THE INHOMOGENEOUS TASEP , AND EVIL-AVOIDING PERMUTATIONS (2021) (0)
Mini-Workshop: Superpotentials in Algebra and Geometry (2021) (0)
Root polytopes , triangulations , and subdivision algebras by Karola Meszairos (2010) (0)

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What Schools Are Affiliated With Lauren Williams ?

Lauren Williams is affiliated with the following schools:

Lauren Williams 's Academic­Influence.com Rankings