2 problems

Let $X$ be an affine algebraic manifold, let ${\mathcal T}_X$ be its Lie algebra of algebraic vector fields, and let $\mathfrak h\subseteq {\mathcal T}_X$ be a Lie subalgebra of fi…

Width conjecture. For $n\geq 2$, the width of $\operatorname{Vec}(\mathbb{A}^1 \setminus \\{p_1,\dots,p_n\\})$ equals two.