4 problems

Let $g$ be the genus, let $\mathfrak{t}_g$ be the relevant graded Lie algebra associated to the Torelli group, and let $\mathfrak{m}_g$ be the Lie algebra of symplectic derivations…

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…

Let $\T_g$ be the Torelli group and let $(\T_g)_k$ denote its $k$th lower-central-series subgroup. Lower-central-series non-finite-generation conjecture. For each $k\geq 1$, the gr…

Let $S$ be a genus $g$ surface embedded in a homology sphere $Y$, and let $H$ be an abelian subgroup of the Torelli group. Boundedness conjecture. The set … is bounded. This conjec…