5 problems

Universal rigidity conjecture. If a tensegrity $(G,\mathbf p)$ in $\mathbb{R}^d$, with each member either a strut or a cable, is universally rigid, then it is the limit of super st…

Let $G$ be a graph and let $G(P)$ be a framework whose vertex configuration $P$ is in general position. A system of strong geometric conditions is a system of algebraic geometric c…

Let $G$ be a graph and let $k$ be a positive integer. The $(G,k)$-stratum is the set of frameworks $G(P)$ for which the dimension of the fiber $W(G,P)$ is at least $k$. Such a stra…

Let a stratum be a subset of the configuration space of plane frameworks of a graph $G$, and let a system of geometric conditions describe a set of configurations satisfying incide…

Let $G$ be a graph, and let a stratum be a subset of the configuration space of frameworks of $G$ in the plane determined by the dimension of the associated tensegrity fiber. A sys…