The Catalan matroid. - Federico Ardila (J. Comb. Theory A, 2003)

The Number of Halving Circles. - Federico Ardila (Am. Math. Mon., 2004)

The positive Bergman complex of an oriented matroid. - Federico Ardila; Caroline J. Klivans; Lauren K. Williams (Eur. J. Comb., 2006)

The Bergman complex of a matroid and phylogenetic trees. - Federico Ardila; Caroline J. Klivans (J. Comb. Theory B, 2006)

Transversal and Cotransversal Matroids via their Representations. - Federico Ardila (Electron. J. Comb., 2007)

Shelling Processes and a New Characterization of Convex Geometries - Federico Ardila; Elitza N. Maneva (CoRR, 2007)

Pruning processes and a new characterization of convex geometries. - Federico Ardila; Elitza N. Maneva (Discret. Math., 2009)

Matroid Polytopes and their Volumes. - Federico Ardila; Carolina Benedetti; Jeffrey Doker (Discret. Comput. Geom., 2010)

Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. - Federico Ardila; Thomas Bliem; Dido Salazar (J. Comb. Theory A, 2011)

Root Polytopes and Growth Series of Root Lattices. - Federico Ardila; Matthias Beck; Serkan Hosten; Julian Pfeifle; Kim Seashore (SIAM J. Discret. Math., 2011)

Geodesics in CAT(0) cubical complexes. - Federico Ardila; Megan Owen; Seth Sullivant (Adv. Appl. Math., 2012)

Lifted generalized permutahedra and composition polynomials. - Federico Ardila; Jeffrey Doker (Adv. Appl. Math., 2013)

Acyclic Systems of Permutations and Fine Mixed Subdivisions of Simplices. - Federico Ardila; Cesar Ceballos (Discret. Comput. Geom., 2013)

Moving Robots Efficiently Using the Combinatorics of CAT(0) Cubical Complexes. - Federico Ardila; Tia Baker; Rika Yatchak (SIAM J. Discret. Math., 2014)

The Topology of the External Activity Complex of a Matroid. - Federico Ardila; Federico Castillo; José Alejandro Samper (Electron. J. Comb., 2016)

The Configuration Space of a Robotic Arm in a Tunnel. - Federico Ardila; Hanner Bastidas; Cesar Ceballos; John Guo (SIAM J. Discret. Math., 2017)

CAT(0) geometry, robots, and society. - Federico Ardila (CoRR, 2019)

The Equivariant Volumes of the Permutahedron. - Federico Ardila; Anna Schindler; Andrés R. Vindas-Meléndez (Discret. Comput. Geom., 2021)

The bipermutahedron. - Federico Ardila (Comb. Theory, 2022)

The Tropical Critical Points of an Affine Matroid. - Federico Ardila-Mantilla; Christopher Eur; Raul Penaguiao (SIAM J. Discret. Math., 2024)