Richard Evan Schwartz

Geometry and Topology · 2001–2020

A researcher in the Science corpus: 12 papers; trusts 14 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 24 citations into it; #707 of 7,422 by trust here, #1,175 by citations
• Mathematical Physics — 14 citations into it; #1,262 of 8,562 by trust here, #2,478 by citations
• Algebra and Number Theory — 12 citations into it
• Statistical and Nonlinear Physics — 9 citations into it; #1,566 of 10,127 by trust here, #4,439 by citations
• Discrete Mathematics and Combinatorics — 6 citations into it; #1,533 of 2,017 by trust here, #1,552 by citations

Whom Richard Evan Schwartz trusts overall

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

1. Yehuda Shalom
2. Daryl Cooper
3. Sergey Fomin
4. David E. Speyer
5. William M. Goldman
6. Daniel Allcock
7. Craig Hodgson
8. Valentin Ovsienko
9. Michael Kapovich
10. Andrei Zelevinsky

Who trusts Richard Evan Schwartz overall

1. Anna Pratoussevitch
2. Valentin Ovsienko
3. Elisha Falbel
4. Martin Deraux
5. Serge Tabachnikov
6. Sean Lawton
7. Max Glick
8. Misha Bialy
9. Sophie Morier-Genoud
10. William M. Goldman

Papers from Richard Evan Schwartz's perspective

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

1. The Laurent Phenomenon (Advances in Applied Mathematics)
2. Perfect matchings and the octahedron recurrence
3. Cluster Algebras and Poisson Geometry
4. The pentagram map and Y-patterns
5. Discrete monodromy, pentagrams, and the method of condensation
6. Ideal triangle groups, dented tori, and numerical analysis
7. Moduli spaces of convex projective structures on surfaces
8. 2-frieze patterns and the cluster structure of the space of polygons
9. Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
10. The Pentagram Map: A Discrete Integrable System

Their papers

• Discrete monodromy, pentagrams, and the method of condensation (2007) — 64 citations
• Ideal triangle groups, dented tori, and numerical analysis (2001) — 64 citations
• The Poncelet grid (2007) — 61 citations
• Billiards in ellipses revisited (2020) — 49 citations
• Liouville–Arnold integrability of the pentagram map on closed polygons (2011) — 73 citations
• The Pentagram Map: A Discrete Integrable System (2008) — 146 citations
• Outer Billiards on Kites (2007) — 53 citations
• Unbounded Orbits for Outer Billiards (2007) — 52 citations
• Spherical CR Geometry and Dehn Surgery (2007) — 60 citations
• Complex hyperbolic triangle groups (2003) — 97 citations
• Real hyperbolic on the outside, complex hyperbolic on the inside (2003) — 48 citations
• Degenerating the complex hyperbolic ideal triangle groups (2001) — 49 citations