Bers density conjecture for singly degenerate Kleinian groups

Let $S$ be a closed surface, let $AH(S)$ denote the relevant space of Kleinian groups, and let $B_X$ be the Bers slice with conformal boundary $X$. For a Kleinian group $\Gamma\in AH(S)$, write $M=\mathbb{H}^3/\Gamma$.

Bers density conjecture. If $M$ is singly degenerate, then $\Gamma\in\overline{B}_X$, where $X$ is the conformal boundary of $M$.

The conjecture concerns the density of geometrically finite structures in the boundary of a Bers slice. The source records proofs in several special cases, including geometrically finite groups, bounded geometry, and punctured-torus groups, and states that the paper handles unbounded geometry; its overall status is not specified in the supplied text.