Ends of word-hyperbolic three-manifolds
(PhD thesis, 2004)

We show that certain surface subgroups of word-hyperbolic three-manifold groups are geometrically tame. The result applies to any surface subgroup that is bounded in a reasonable sense analogous to the way in which pleated surfaces have bounded diameter in hyperbolic three-manifolds. We conjecture that all surface subgroups of word-hyperbolic three-manifold groups satisfy this boundedness condition. In this direction, we show that a similar, though somewhat weaker, condition is satisfied by all surface subgroups of word-hyperbolic groups.