3 problems

Let $G$ be a graph on $n\ge 7$ non-isolated vertices. Suppose that $\operatorname{reg}(J_G)=n-1$. Projective-dimension bound. Then … The paper reports that this stronger bound is s…

Chromatic symmetric homology distinction conjecture. Each such pair is distinguished by chromatic symmetric homology.

Asymptotic strict mixed Hodge inequality conjecture. There exists a positive integer $n_0$ such that, for every $n\geqq n_0$,