69 citations · 209 across the 37 of their papers we have counts for
47 papers
The geometry of geometries: matroid theory, old and new
Federico Ardila
The theory of matroids or combinatorial geometries originated in linear algebra and graph theory, and has deep connections with many other areas, including field theory, matching t…
Lagrangian combinatorics of matroids
Federico Ardila, Graham Denham, June Huh
The Lagrangian geometry of matroids was introduced in [ADH20] through the construction of the conormal fan of a matroid M. We used the conormal fan to give a Lagrangian-geometric i…
Valuations and the Hopf Monoid of Generalized Permutahedra
Federico Ardila, Mario Sanchez
The goal of this paper is to show that valuation theory and Hopf theory are compatible on the class of generalized permutahedra. We prove that the Hopf structure on…
The bipermutahedron
Federico Ardila
The harmonic polytope and the bipermutahedron are two related polytopes which arose in Ardila, Denham, and Huh's work on the Lagrangian geometry of matroids. We study the bipermuta…
The harmonic polytope
Federico Ardila, Laura Escobar
We study the harmonic polytope, which arose in Ardila, Denham, and Huh's work on the Lagrangian geometry of matroids. We describe its combinatorial structure, showing that it is a…
The Arithmetic of Coxeter Permutahedra
Federico Ardila, Matthias Beck, Jodi McWhirter
Ehrhart theory measures a polytope P discretely by counting the lattice points inside its dilates P, 2P, 3P, .... We compute the Ehrhart quasipolynomials of the standard Coxeter pe…