The side-pairing elements of Maskit's fundamental domain for the modular group in genus two.
The smallest hyperbolic 6-manifolds.
The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on .
The topology of deformation spaces of Kleinian groups.
The volume spectrum of hyperbolic 4-manifolds.
Three-manifolds and Kähler groups
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is or .
Three-manifolds having complexity at most 9.
Tight contact structures and taut foliations.
Tight contact structures on Seifert manifolds over with one singular fibre.
Topological geodesics and virtual rigidity.
Topology of plane sections of periodic polyhedra with an application to the truncated octahedron.
Toric structures on near-symplectic 4-manifolds
A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on the base of...
Traces, lengths, axes and commensurability
The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.
Transversal torus knots.
Transverse contact structures on Seifert 3-manifolds.