2 problems

Rank-three wildness conjecture. If $\operatorname{rank}D=3$, then $\exp D$ is wild.

Strong Nagata conjecture. The two coordinates $\psi(x_1)$ and $\psi(x_2)$ of $k[\bf x]$ over $k$ are wild, meaning that neither is the image of a variable under a tame automorphism…