105 citations · 168 across the 15 of their papers we have counts for
19 papers
On subdivisions of the permutahedron and flags of lattice path matroids
Carolina Benedetti
In this manuscript we study the subdivisions of the permutahedron into two subpolytopes corresponding to flags of positroids, which are in particular flags of lattice path ma…
Shellability of the quotient order on lattice path matroids
Carolina Benedetti, Anton Dochtermann, Kolja Knauer +1
The concept of a matroid quotient has connections to fundamental questions in the geometry of flag varieties. In previous work, Benedetti and Knauer characterized quotients in the…
A quantum Murnaghan--Nakayama rule for the flag manifold
Carolina Benedetti, Nantel Bergeron, Laura Colmenarejo +2
In this paper, we give a rule for the multiplication of a Schubert class by a tautological class in the (small) quantum cohomology ring of the flag manifold. As an intermediate ste…
Order and Gorenstein properties for lattice path matroid polytopes
Carolina Benedetti, Kolja Knauer, Jerónimo Valencia-Porras
We characterize matroids whose polytopes are order polytopes as a special class of lattice path matroids, called snakes. This shows that snakes are exactly the objects lying in the…
Todxs cuentan in ECCO: community and belonging in mathematics
Federico Ardila-Mantilla, Carolina Benedetti
The Encuentro Colombiano de Combinatoria (ECCO) is an international summer school that welcomes students and researchers with a wide variety of mathematical and personal experience…
Generalized Lattice Point Visibility
Carolina Benedetti, Santiago Estupiñán, Pamela E. Harris
It is a well-known result that the proportion of lattice points visible from the origin is given by , where denotes the Rieman…