5 problems

Let $M$ be a metric space, let $\mathcal{F}(M)$ be its Lipschitz-free space, and write … for $p\neq q$ in $M$. Such elements are called molecules. Molecule conjecture. Every extrem…

Let $M$ be a complete pointed metric space, and let $\mathcal{F}(M)$ be its Lipschitz-free space. An element of $\mathcal{F}(M)$ is finitely supported if its support is a finite su…

Let $f$ be an analytic function on the bidisk with positive real part and $f(0)=1$, whose Cayley transform is a rational inner function. The authors construct families of such func…

Let $\mathcal{D}$ be the local differential privacy polytope, let $\operatorname{ex}(\mathcal{D})$ denote its set of extreme points, and let $\tilde{\mathcal{D}}'$ and…

Consider extreme points of the Held–Karp relaxation on $n$ vertices, and let the maximum degree of an extreme point mean the maximum degree of its support graph. The maximum-degree…