Lauren Williams

Lauren Williams

Harvard University

H-index: 33

North America-United States

About Lauren Williams

Lauren Williams, With an exceptional h-index of 33 and a recent h-index of 26 (since 2020), a distinguished researcher at Harvard University, specializes in the field of mathematics.

His recent articles reflect a diverse array of research interests and contributions to the field:

The Magic Number Conjecture for the amplituhedron and Parke-Taylor identities

The inhomogeneous -PushTASEP and Macdonald polynomials

A cluster of results on amplituhedron tiles

Rhombic staircase tableaux and Koornwinder polynomials

Grass (mannian) trees and forests: Variations of the exponential formula, with applications to the momentum amplituhedron

The m= 2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers

Cluster algebras and Tilings for the m= 4 amplituhedron

The Positive Tropical Grassmannian, the Hypersimplex, and the m = 2 Amplituhedron

Lauren Williams Information

University

Position

Department of Mathematics

Citations(all)

3613

Citations(since 2020)

1917

Cited By

2553

hIndex(all)

33

hIndex(since 2020)

26

i10Index(all)

53

i10Index(since 2020)

44

Email

University Profile Page

Harvard University

Google Scholar

View Google Scholar Profile

Lauren Williams Skills & Research Interests

mathematics

Top articles of Lauren Williams

Title

Journal

Author(s)

Publication Date

The Magic Number Conjecture for the amplituhedron and Parke-Taylor identities

arXiv preprint arXiv:2404.03026

Matteo Parisi

Melissa Sherman-Bennett

Ran Tessler

Lauren Williams

2024/4/3

The inhomogeneous -PushTASEP and Macdonald polynomials

arXiv preprint arXiv:2403.10485

Arvind Ayyer

James Martin

Lauren Williams

2024/3/15

A cluster of results on amplituhedron tiles

arXiv preprint arXiv:2402.15568

Chaim Even-Zohar

Tsviqa Lakrec

Matteo Parisi

Ran Tessler

Melissa Sherman-Bennett

...

2024/2/23

Rhombic staircase tableaux and Koornwinder polynomials

arXiv preprint arXiv:2312.17469

Sylvie Corteel

Olya Mandelshtam

Lauren Williams

2023/12/29

Grass (mannian) trees and forests: Variations of the exponential formula, with applications to the momentum amplituhedron

Combinatorial Theory

Robert Moerman

Lauren K Williams

2023

The m= 2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers

arXiv preprint arXiv:2104.08254

Matteo Parisi

Melissa Sherman-Bennett

Lauren Williams

2021/4/16

Cluster algebras and Tilings for the m= 4 amplituhedron

arXiv preprint arXiv:2310.17727

Chaim Even-Zohar

Tsviqa Lakrec

Matteo Parisi

Ran Tessler

Melissa Sherman-Bennett

...

2023/10/26

The Positive Tropical Grassmannian, the Hypersimplex, and the m = 2 Amplituhedron

International Mathematics Research Notices

Tomasz Łukowski

Matteo Parisi

Lauren K Williams

2023/10

Schubert polynomials, the inhomogeneous TASEP, and evil-avoiding permutations

International Mathematics Research Notices

Donghyun Kim

Lauren K Williams

2023/5

The ????= 2 amplituhedron and the hypersimplex: Signs, clusters, tilings, Eulerian numbers

Communications of the American Mathematical Society

Matteo Parisi

Melissa Sherman-Bennett

Lauren Williams

2023

Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials

Selecta Mathematica

Sylvie Corteel

Jim Haglund

Olya Mandelshtam

Sarah Mason

Lauren Williams

2022/4

The combinatorics of hopping particles and positivity in Markov chains

arXiv preprint arXiv:2202.00214

Lauren K Williams

2022/2/1

The m= 2 Amplituhedron and the Hypersimplex

Sém. Lothar. Combin. B

Matteo Parisi

Melissa Sherman-Bennett

Lauren Williams

2022

Mini-Workshop: Scattering Amplitudes, Cluster Algebras, and Positive Geometries

Oberwolfach Reports

Nima Arkani-Hamed

Hugh R Thomas

Lauren K Williams

2022/11/25

The positive Grassmannian, the amplituhedron, and cluster algebras

Proceedings of the ICM

Lauren K Williams

2022

Higher secondary polytopes and regular plabic graphs

Advances in Mathematics

Pavel Galashin

Alexander Postnikov

Lauren Williams

2022/10/8

Polyhedral and tropical geometry of flag positroids

arXiv preprint arXiv:2208.09131

Jonathan Boretsky

Christopher Eur

Lauren Williams

2022/8/19

From multiline queues to Macdonald polynomials via the exclusion process

American Journal of Mathematics

Sylvie Corteel

Olya Mandelshtam

Lauren Williams

2022

Grass trees and forests: Enumeration of Grassmannian trees and forests, with applications to the momentum amplituhedron

arXiv preprint arXiv:2112.02061

Robert Moerman

Lauren K Williams

2021/12/3

Schubert polynomials and the inhomogeneous TASEP on a ring

arXiv preprint arXiv:2102.00560

Donghyun Kim

Lauren Williams

2021/1/31

See List of Professors in Lauren Williams University(Harvard University)

Co-Authors

H-index: 79
Richard Stanley

Richard Stanley

Massachusetts Institute of Technology

H-index: 53
Andrei Zelevinsky

Andrei Zelevinsky

North Eastern University

H-index: 40
Sergey Fomin

Sergey Fomin

University of Michigan-Dearborn

H-index: 26
Federico Ardila

Federico Ardila

San Francisco State University

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