3 problems

Jones's conjecture. There are no level-transitive subgroups $G$ of $\operatorname{Aut}T$ such that

Let $K$ be a field and let $f\in K[x]$ be a polynomial of degree $d\geq 2$. Assume either that $\operatorname{char}(K)=0$ or that $\operatorname{char}(K)$ does not divide the local…

Let $f$ be a dynamically exceptional polynomial, and suppose that $f$ is not conjugated to a Chebyshev polynomial. Write $\operatorname{IMG}(f)$ for its iterated monodromy group an…