Hugh Thomas

Geometry and Topology · Compositio Mathematica · 2004–2018

A researcher in the Science corpus: 18 papers; trusts 70 researchers and is trusted by 59 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 176 citations into it; #295 of 7,422 by trust here, #367 by citations
• Algebra and Number Theory — 110 citations into it; #107 of 2,864 by trust here, #207 by citations
• Discrete Mathematics and Combinatorics — 88 citations into it; #39 of 2,017 by trust here, #54 by citations
• Mathematical Physics — 72 citations into it; #806 of 8,562 by trust here, #722 by citations
• Statistical and Nonlinear Physics — 57 citations into it; #5,291 of 10,127 by trust here, #6,156 by citations
• Nuclear and High Energy Physics — 8 citations into it; #2,886 of 6,161 by trust here, #4,811 by citations
• Computational Theory and Mathematics — 6 citations into it

Whom Hugh Thomas trusts overall

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

1. Sergey Fomin
2. Anders Skovsted Buch
3. Nathan Reading
4. B. Keller
5. Aslak Bakke Buan
6. B. Marsh
7. T. Bridgeland
8. Cristian Lenart
9. Andrei Zelevinsky
10. Alain Lascoux

Who trusts Hugh Thomas overall

1. I. Reiten
2. B. Keller
3. Lingyan Guo
4. Osamu Iyama
5. Karin Baur
6. P. Chaput
7. Anders Skovsted Buch
8. Gustavo Jasso
9. Ralf Schiffler
10. Gregg Musiker

Papers from Hugh Thomas's perspective

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

1. Generalized associahedra via quiver representations
2. Cluster algebras I: Foundations
3. Cluster algebras II: Finite type classification
4. Grassmannians and Cluster Algebras
5. Combinatorics of Coxeter Groups
6. CLUSTER MUTATION VIA QUIVER REPRESENTATIONS
7. A geometric description of m-cluster categories
8. Braid group actions on derived categories of coherent sheaves
9. Y-systems and generalized associahedra
10. Singular Loci of Schubert Varieties

Their papers

• On the Combinatorics of Gentle Algebras (2017) — 47 citations
• What is the Amplituhedron (2018) — 409 citations
• Unwinding the amplituhedron in binary (2017) — 137 citations
• Lattice theory of torsion classes: Beyond 𝜏-tilting theory (2017) — 133 citations
• Lattice structure of torsion classes for path algebras (2013) — 55 citations
• Thin monodromy in Sp(4) (2012) — 59 citations
• Acyclic Cluster Algebras Revisited (2012) — 50 citations
• A uniform bijection between nonnesting and noncrossing partitions (2011) — 91 citations
• Higher-dimensional cluster combinatorics and representation theory (2010) — 101 citations
• Braid groups and Kleinian singularities (2009) — 74 citations
• Coloured quiver mutation for higher cluster categories (2008) — 47 citations
• A jeu de taquin theory for increasing tableaux, with applications to K-theoretic Schubert calculus (2007) — 93 citations
• Permutahedra and generalized associahedra (2007) — 125 citations
• On Cluster Algebras Arising from Unpunctured Surfaces (2007) — 92 citations
• Defining an m-cluster category (2006) — 108 citations
• A combinatorial rule for (co)minuscule Schubert calculus (2006) — 78 citations
• Noncrossing partitions and representations of quivers (2006) — 254 citations
• Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions (2004) — 71 citations