Author

Luis Ferroni

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Preprint Sep 2026

Unimodality shenanigans in Ehrhart theory

We show the existence of counterexamples to a four-decade-old conjecture attributed to Stanley concerning the unimodality of $h^*$-polynomials of IDP polytopes. As additional applications of our main constructions, we also disprove a conjecture by Brenti on the log-concavity of $h^*$-polynomials of Gorenstein IDP polyt...

Luis Ferroni · 3 citations · ⚡2

Preprint Aug 2026

Almost factorial many facets for 0/1-polytopes

A long-standing question posed by Fukuda (1995) and Ziegler (2000) inquires about the asymptotic behavior of $g(n)$, the maximum number of facets that an $n$-dimensional $0/1$-polytope can have. A remarkable result by B\'ar\'any and P\'or (2001) via probabilistic methods established that $g(n)$ is at least superexponen...

Federico Castillo, Luis Ferroni · 1 citation