Mathieu Vallée

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20232026

(n - 1)

-spheres with

n + 4

vertices having maximal Buchstaber number

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math.CO2026

Enumerating Toric-Colorable Seeds of Picard Number Five via Binary Matroids

Suyoung Choi, Mathieu Vallée

We introduce a binary matroid framework for the enumeration of mod $2$ toric-colorable seeds of fixed Picard number. Working with binary matroids up to isomorphism, we organize the…

math.AT2026

The relative join operad and polyhedral products

Mathieu Vallée

An inclusion of nonvoid simplicial complexes induces an arrow of polyhedral products. Applying Ayzenberg's polyhedral join to both complexes gives a symmetric relative join operad.…