Sam Payne

Geometry and Topology · 2005–2018

A researcher in the Science corpus: 19 papers; trusts 53 researchers and is trusted by 40 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 153 citations into it; #341 of 7,422 by trust here, #241 by citations
• Computational Theory and Mathematics — 101 citations into it; #737 of 12,182 by trust here, #963 by citations
• Algebra and Number Theory — 75 citations into it; #402 of 2,864 by trust here, #457 by citations
• Mathematical Physics — 56 citations into it; #7,348 of 8,562 by trust here, #4,247 by citations
• Discrete Mathematics and Combinatorics — 20 citations into it; #609 of 2,017 by trust here, #451 by citations
• Applied Mathematics — 10 citations into it
• Statistical and Nonlinear Physics — 5 citations into it; #968 of 10,127 by trust here, #1,725 by citations

Whom Sam Payne trusts overall

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

1. Markus Perling
2. B. Totaro
3. Ravi Vakil
4. Eric Katz
5. Jean-Paul Brasselet
6. G. Mikhalkin
7. Matthew Baker
8. Joseph Rabinoff
9. Bernd Sturmfels
10. Tamás Hausel

Who trusts Sam Payne overall

1. Eric Katz
2. David Jensen
3. Matthew Baker
4. Dhruv Ranganathan
5. David Anderson
6. Omid Amini
7. Martin Ulirsch
8. Walter Gubler
9. M. Gualtieri
10. Joseph Rabinoff

Papers from Sam Payne's perspective

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

1. Introduction to toric varieties
2. The tropical Grassmannian
3. A Riemann–Roch theorem in tropical geometry
4. Murphy’s law in algebraic geometry: Badly-behaved deformation spaces
5. The Valuative Tree
6. Homological mirror symmetry and torus fibrations
7. Tropical varieties for non-archimedean analytic spaces
8. Valuations and plurisubharmonic singularities
9. A tropical proof of the Brill-Noether Theorem
10. Potential Theory and Dynamics on the Berkovich Projective Line

Their papers

• The tropicalization of the moduli space of curves (2012) — 231 citations
• Nonarchimedean geometry, tropicalization, and metrics on curves (2011) — 191 citations
• Fibers of tropicalization (2007) — 88 citations
• Analytification is the limit of all tropicalizations (2008) — 216 citations
• Tropical independence I: Shapes of divisors and a proof of the Gieseker–Petri theorem (2014) — 66 citations
• Lifting Tropical Intersections (2010) — 98 citations
• On a Cohen–Lenstra heuristic for Jacobians of random graphs (2014) — 73 citations
• Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ} (2018) — 100 citations
• Tropical independence II: The maximal rank conjecture for quadrics (2015) — 63 citations
• On the structure of nonarchimedean analytic curves (2014) — 61 citations
• On the structure of non-archimedean analytic curves (2013) — 85 citations
• Operational K-Theory (2013) — 49 citations
• Boundary complexes and weight filtrations (2011) — 60 citations
• A tropical proof of the Brill-Noether Theorem (2010) — 191 citations
• Moduli of toric vector bundles (2007) — 65 citations
• Piecewise polynomials, Minkowski weights, and localization on toric varieties (2007) — 49 citations
• Toric vector bundles, branched covers of fans, and the resolution property (2006) — 55 citations
• EQUIVARIANT CHOW COHOMOLOGY OF TORIC VARIETIES (2005) — 98 citations
• Ehrhart polynomials and stringy Betti numbers (2005) — 54 citations