Lauren K. Williams

Geometry and Topology · 2003–2020

A researcher in the Science corpus: 18 papers; trusts 58 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 192 citations into it; #333 of 7,422 by trust here, #246 by citations
• Algebra and Number Theory — 123 citations into it; #165 of 2,864 by trust here, #128 by citations
• Discrete Mathematics and Combinatorics — 109 citations into it; #55 of 2,017 by trust here, #66 by citations
• Mathematical Physics — 80 citations into it; #4,109 of 8,562 by trust here, #2,288 by citations
• Statistical and Nonlinear Physics — 59 citations into it; #4,287 of 10,127 by trust here, #2,578 by citations
• Computational Theory and Mathematics — 29 citations into it; #10,373 of 12,182 by trust here, #8,294 by citations
• Artificial Intelligence — 7 citations into it
• Statistics and Probability — 7 citations into it; #6,527 of 12,932 by trust here, #8,740 by citations

Whom Lauren K. Williams trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Alexander Postnikov
2. Sergey Fomin
3. David E. Speyer
4. Joshua S. Scott
5. Andrei Zelevinsky
6. V. Fock
7. Michael I. Gekhtman
8. Ralf Schiffler
9. Philippe Caldero
10. Gregg Musiker

Who trusts Lauren K. Williams overall

1. Yuji Kodama
2. Michelle L. Wachs
3. Alexander Postnikov
4. S. Chakravarty
5. Thomas Lam
6. David E. Speyer
7. Greg Muller
8. Bernard Leclerc
9. N. Arkani-Hamed
10. Petter Brand'en

Papers from Lauren K. Williams's perspective

Ordered by how strongly the researchers Lauren K. Williams trusts endorse each paper. Same corpus, a different order for every researcher.

1. Cluster algebras I: Foundations
2. Cluster algebras II: Finite type classification
3. Grassmannians and Cluster Algebras
4. Total positivity, Grassmannians, and networks
5. Cluster Algebras and Poisson Geometry
6. Enumeration of totally positive Grassmann cells
7. Quiver varieties and cluster algebras
8. Quivers with potentials associated to triangulated surfaces
9. Introduction to toric varieties
10. Y-systems and generalized associahedra

Their papers

• The Tropical Totally Positive Grassmannian (2003) — 172 citations
• Shelling totally nonnegative flag varieties (2005) — 63 citations
• Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials (2009) — 124 citations
• Positroids and non-crossing partitions (2013) — 78 citations
• The positive Dressian equals the positive tropical Grassmannian (2020) — 47 citations
• From multiline queues to Macdonald polynomials via the exclusion process (2018) — 63 citations
• Introduction to Cluster Algebras. Chapters 1-3 (2016) — 89 citations
• Bruhat Interval Polytopes (2014) — 71 citations
• Cluster algebras (2014) — 689 citations
• Matrix formulae and skein relations for cluster algebras from surfaces (2011) — 63 citations
• KP solitons and total positivity for the Grassmannian (2011) — 183 citations
• Bases for cluster algebras from surfaces (2011) — 176 citations
• Formulae for Askey-Wilson moments and enumeration of staircase tableaux (2010) — 54 citations
• Positivity for cluster algebras from surfaces (2009) — 251 citations
• Matching polytopes, toric geometry, and the totally non-negative Grassmannian (2009) — 106 citations
• Total positivity for cominuscule Grassmannians (2007) — 55 citations
• Faces of generalized permutohedra (2006) — 374 citations
• Enumeration of totally positive Grassmann cells (2003) — 151 citations