3 problems

Let $\mathcal{A}$ be a point configuration, let $\mathcal{V}$ be its associated vector configuration, and let $\Upsigma_{\mathcal{A},k}$ be the higher secondary polytope defined us…

Extended-core zonotopal tiling conjecture. There exists an integral zonotopal tiling $\mathcal{T}$ in $N_\mathbb{R}$ whose vertex set is

Arbo–Proudfoot classification conjecture. Every $T$-hypertoric variety arises via this construction: for every $T$-hypertoric variety $Y$, there exists an integral zonotopal tiling…