3 papers
math.CO2025
How to Tropicalize a non-Archimedean Lattice
Yassine El Maazouz
The tropicalization of a linear space over a non-archimedean field is a tropical linear space. In this paper, we present a method for computing the tropicalization of any lattice o…
math.CO2024
Totally positive skew-symmetric matrices
Jonathan Boretsky, Veronica Calvo Cortes, Yassine El Maazouz
A matrix is totally positive if all of its minors are positive. This notion of positivity coincides with the type A version of Lusztig's more general total positivity in reductive…
math.AG2024
Spinor-Helicity Varieties
Yassine El Maazouz, Anaëlle Pfister, Bernd Sturmfels
The spinor-helicity formalism in particle physics gives rise to natural subvarieties in the product of two Grassmannians. These include two-step flag varieties for subspaces of com…