69 citations · 209 across the 37 of their papers we have counts for
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CAT(0) geometry, robots, and society
Federico Ardila
How do we move a robot efficiently from one position to another? To answer this question, we need to understand its configuration space, a 'map' where we can find every possible po…
The equivariant Ehrhart theory of the permutahedron
Federico Ardila, Mariel Supina, Andrés R. Vindas-Meléndez
Equivariant Ehrhart theory enumerates the lattice points in a polytope with respect to a group action. Answering a question of Stapledon, we describe the equivariant Ehrhart theory…
Coxeter submodular functions and deformations of Coxeter permutahedra
Federico Ardila, Federico Castillo, Christopher Eur +1
We describe the cone of deformations of a Coxeter permutahedron, or equivalently, the nef cone of the toric variety associated to a Coxeter complex. This family of polytopes contai…