3 problems

Let $k$ be a positive integer, let $E/\mathbb{Q}$ be an elliptic curve, and let $L_k$ be the $k$-th Lattès map attached to $E$. A rational function is arithmetically exceptional if…

Let $f$ be a Lattès map on ${\mathbb P^2}$. Lattès-map bifurcation accumulation conjecture. The map $f$ belongs to the closure of the interior of the bifurcation locus. This is pre…

Backward orbit integrality conjecture. If $Q\in\mathbb P^1(\overline K)$ is not $\phi$-preperiodic, then $\phi^-(P)$ contains at most finitely many points in…