Nathan Reading

Geometry and Topology · 2003–2017

A researcher in the Science corpus: 12 papers; trusts 27 researchers and is trusted by 43 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 102 citations into it; #323 of 7,422 by trust here, #483 by citations
• Discrete Mathematics and Combinatorics — 91 citations into it; #52 of 2,017 by trust here, #78 by citations
• Algebra and Number Theory — 53 citations into it; #140 of 2,864 by trust here, #259 by citations
• Mathematical Physics — 33 citations into it; #3,417 of 8,562 by trust here, #2,904 by citations
• Statistical and Nonlinear Physics — 13 citations into it
• Artificial Intelligence — 8 citations into it; #19,932 of 35,345 by trust here, #21,878 by citations
• Computational Theory and Mathematics — 7 citations into it; #8,875 of 12,182 by trust here, #8,756 by citations
• Electrical and Electronic Engineering — 5 citations into it; #8,551 of 16,539 by trust here, #13,165 by citations

Whom Nathan Reading trusts overall

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

1. Sergey Fomin
2. Andrei Zelevinsky
3. David Bessis
4. Tom D. Brady
5. Colum Watt
6. B. Marsh
7. Anders Björner
8. David E. Speyer
9. Christos A. Athanasiadis
10. Frédéric Chapoton

Who trusts Nathan Reading overall

1. David E. Speyer
2. Vincent Pilaud
3. Hugh Thomas
4. Christophe Hohlweg
5. Drew Armstrong
6. Christian Stump
7. Grégory Châtel
8. Sergey Fomin
9. Cesar Ceballos
10. Alexander Garver

Papers from Nathan Reading's perspective

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

1. Cluster algebras I: Foundations
2. Generalized associahedra via quiver representations
3. Y-systems and generalized associahedra
4. B-Stable Ideals in the Nilradical of a Borel Subalgebra (Canadian mathematical bulletin)
5. Cluster algebras IV: Coefficients (Compositio Mathematica)
6. Combinatorics of Coxeter Groups
7. Cluster algebras II: Finite type classification
8. A PARTIAL ORDER ON THE ORTHOGONAL GROUP
9. ad-nilpotent ideals of a Borel subalgebra: generators and duality
10. Grassmannians and Cluster Algebras

Their papers

• Lattice and order properties of the poset of regions in a hyperplane arrangement (2003) — 53 citations
• Lattice theory of torsion classes: Beyond 𝜏-tilting theory (2017) — 133 citations
• Lattice Theory of the Poset of Regions (2016) — 76 citations
• Universal geometric cluster algebras (2012) — 57 citations
• Noncrossing partitions and the shard intersection order (2009) — 63 citations
• Sortable elements in infinite Coxeter groups (2008) — 61 citations
• Cambrian fans (2006) — 96 citations
• Clusters, Coxeter-sortable elements and noncrossing partitions (2005) — 152 citations
• Sortable elements and Cambrian lattices (2005) — 104 citations
• Root systems and generalized associahedra (2005) — 172 citations
• Generalized cluster complexes and Coxeter combinatorics (2005) — 159 citations
• Cambrian Lattices (2004) — 248 citations