Federico Ardila

Discrete Mathematics and Combinatorics · 2003–2020

A researcher in the Science corpus: 11 papers; trusts 47 researchers and is trusted by 23 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 89 citations into it; #177 of 2,017 by trust here, #129 by citations
• Geometry and Topology — 77 citations into it; #3,138 of 7,422 by trust here, #2,575 by citations
• Computational Theory and Mathematics — 64 citations into it; #2,737 of 12,182 by trust here, #2,851 by citations
• Algebra and Number Theory — 61 citations into it; #1,107 of 2,864 by trust here, #1,302 by citations
• Mathematical Physics — 28 citations into it; #2,451 of 8,562 by trust here, #1,776 by citations
• Electrical and Electronic Engineering — 9 citations into it; #10,030 of 16,539 by trust here, #15,217 by citations
• Ecology, Evolution, Behavior and Systematics — 6 citations into it
• Computational Mathematics — 5 citations into it

Whom Federico Ardila trusts overall

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

1. June Huh
2. Alexander Postnikov
3. Francisco Santos
4. Dinesh Manocha
5. Bernd Sturmfels
6. David E. Speyer
7. Allen Knutson
8. Olga Holtz
9. Eric Katz
10. Harm Derksen

Who trusts Federico Ardila overall

1. Eric Katz
2. June Huh
3. Christopher Eur
4. Georges François
5. David E. Speyer
6. Luca Moci
7. Juan Migliore
8. Emmanuel Tsukerman
9. Lauren K. Williams
10. Andrew Berget

Papers from Federico Ardila's perspective

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

1. SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS
2. The tropical Grassmannian
3. The Bergman complex of a matroid and phylogenetic trees (J. Comb. Theory B)
4. Coxeter Complexes and Graph-Associahedra
5. Introduction to toric varieties
6. Valuative invariants for polymatroids
7. Algebras Generated by Reciprocals of Linear Forms
8. Total positivity, Grassmannians, and networks
9. Bruhat Interval Polytopes
10. Tropical Geometry and its applications

Their papers

• The Bergman complex of a matroid and phylogenetic trees (2003) — 316 citations
• Tropical hyperplane arrangements and oriented matroids (2007) — 73 citations
• Lagrangian geometry of matroids (2020) — 66 citations
• COMPUTING THE TUTTE POLYNOMIAL OF A HYPERPLANE ARRAGEMENT (2004) — 52 citations
• Positroids and non-crossing partitions (2013) — 78 citations
• Coxeter submodular functions and deformations of Coxeter permutahedra (2019) — 53 citations
• Hopf Monoids and Generalized Permutahedra (2017) — 101 citations
• Algebraic and Geometric Methods in Enumerative Combinatorics (2014) — 58 citations
• The closure of a linear space in a product of lines (2013) — 54 citations
• Combinatorics and geometry of power ideals (2008) — 74 citations
• Flag arrangements and triangulations of products of simplices (2006) — 53 citations