Eric Katz

Geometry and Topology · 2006–2015

A researcher in the Science corpus: 8 papers; trusts 39 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 81 citations into it; #567 of 7,422 by trust here, #809 by citations
• Computational Theory and Mathematics — 70 citations into it; #1,133 of 12,182 by trust here, #2,201 by citations
• Algebra and Number Theory — 39 citations into it; #355 of 2,864 by trust here, #457 by citations
• Discrete Mathematics and Combinatorics — 26 citations into it; #169 of 2,017 by trust here, #245 by citations
• Mathematical Physics — 23 citations into it
• Statistical and Nonlinear Physics — 8 citations into it
• Electrical and Electronic Engineering — 5 citations into it

Whom Eric Katz trusts overall

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

1. David E. Speyer
2. Jean-Paul Brasselet
3. G. Mikhalkin
4. Sam Payne
5. Dinesh Manocha
6. June Huh
7. Jan Draisma
8. Bernd Sturmfels
9. Jenia Tevelev
10. Federico Ardila

Who trusts Eric Katz overall

1. June Huh
2. Sam Payne
3. Walter Gubler
4. Spencer Backman
5. David Jensen
6. Christopher Eur
7. Federico Ardila
8. Matthew Baker
9. Joseph Rabinoff
10. Andrew Berget

Papers from Eric Katz's perspective

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

1. The tropical Grassmannian
2. SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS
3. The Bergman complex of a matroid and phylogenetic trees (J. Comb. Theory B)
4. Valuative invariants for polymatroids
5. Enumerative tropical algebraic geometry
6. Tropical Geometry and its applications
7. A matroid invariant via the K-theory of the Grassmannian
8. Compactifications of subvarieties of tori
9. Introduction to toric varieties
10. Gröbner geometry of Schubert polynomials

Their papers

• A Tropical Toolkit (2006) — 87 citations
• Log-concavity of characteristic polynomials and the Bergman fan of matroids (2011) — 140 citations
• Uniform bounds for the number of rational points on curves of small Mordell–Weil rank (2015) — 80 citations
• Matroid Theory for Algebraic Geometers (2014) — 60 citations
• Tropical intersection theory from toric varieties (2009) — 75 citations
• Hodge theory for combinatorial geometries (2015) — 325 citations
• Monodromy Filtrations and the Topology of Tropical Varieties (2008) — 48 citations
• Piecewise polynomials, Minkowski weights, and localization on toric varieties (2007) — 49 citations