Finite-presentation conjecture for the Torelli group

Let $\T_g$ be the Torelli group of a closed genus-$g$ surface. Torelli finite-presentation conjecture. The group $\T_g$ is finitely presented for $g\geq 4$. This is presented as a folklore conjecture and as a special case of the broader problem concerning finiteness properties of $\T_g$; the source gives no resolution.