5 problems

Let $\Delta_k$ denote the $k$-simplex, and let … where $k_0\geq\cdots\geq k_r$. The configuration $A$ is GKZ-rational when its associated GKZ hypergeometric system has the rational…

Let $P_n$ be the prime ideal of the algebraic variety that is the image of the principal-minor map for complex symmetric $n\times n$-matrices. Let the hyperdeterminantal module be…

Sign conjecture. For any tree on $n$ vertices,

Let $f$ be a ternary quartic of real rank $6$ and signature $(3,3)$, $(4,2)$, or $(5,1)$. Let $\operatorname{VSP}(f)_\mathbb{R}$ be the real points of the variety of sums of powers…

Let $\lambda=(\lambda_1,\dots,\lambda_M)$ be a partition, and let $\mathcal{L}_\lambda$ denote the large-$N$ limit associated with the statistic indexed by $\lambda$. Factorization…