Papers

Papers in .pdf format.

Injectivity radii of hyperbolic integer homology 3-spheres. (arXiv).
(With Nathan Dunfield). Preprint (2013).

Convergence and divergence of Kleinian groups.
(With Ken Bromberg, Richard Canary, Cyril Lecuire). In preparation.

Convergence properties of end invariants. (arXiv).
(With Ken Bromberg, Dick Canary and Yair Minsky). Preprint (2012). To appear, Geometry & Topology.

The classification of Kleinian surface groups II: the ending lamination conjecture. (arXiv).
(With Dick Canary and Yair Minsky). Annals of Math. 176 (2012), pp. 1-149.

Assembling surfaces from random pants: mixing, matching and correcting in the proofs of the surface-subgroup and Ehrenpreis conjectures.
In AMS Current Events Bulletin (2012)

Local topology of deformation spaces of hyperbolic 3-manifolds.
(With Ken Bromberg, Richard Canary, and Yair Minsky). Geometry & Topology 15 (2011) pp. 1169–1224.

Asymptotics of Weil-Petersson geodesics II: bounded geometry and unbounded entropy.
(With Howard Masur and Yair Minsky). Geom. & Funct. Anal. 21 (2011) pp. 820-850.

Taming the Field of Hyperbolic 3-Manifolds.
In the Annual Report of the Clay Mathematics Institute, 2009 pp. 10-18.

Geometric inflexibility and 3-manifolds that fiber over the circle.
(With Ken Bromberg). Journal of Topology, 4 (2011) pp. 1-38. (doi: 10.1112/jtopol/jtq032).

Asymptotics of Weil-Petersson geodesics I: ending laminations, recurrence and flows.
(With Howard Masur and Yair Minsky). Geom. & Funct. Anal. 19 (2010) pp. 1229-1257.

Coarse and synthetic Weil-Petersson geometry: quasi-flats, geodesics, and relative hyperbolicity.
(With Howard Masur). Geometry and Topology, 12 (2008) 2453-2495.

Heegaard splittings, pants decompositions and volumes of hyperbolic 3-manifolds.
(With Juan Souto). In Preparation.

Weil-Petersson isometries via the pants complex.
(With Dan Margalit). Proc. A.M.S. 135 (2007) pp. 795-803

Algebraic limits of geometrically finite manifolds are tame.
(With Juan Souto). Geom. & Funct. Anal. 16 (2006) pp. 1-39.

Curvature and rank of Teichmüller space.
(With Benson Farb). Amer. J. Math. 128 (2006), pp. 1-22 .

The Weil-Petersson visual sphere.
Geometriae Dedicata, 1, (2005), pp. 1-18

On the density of geometrically finite Kleinian groups.
(With Ken Bromberg). Acta Math., 192 (2004), pp. 33-93.

Tameness on the boundary and Ahlfors' measure conjecture.
(With Ken Bromberg, Richard Evans, and Juan Souto). Publ. Math. I.H.E.S., 98 (2003), pp. 145-166.

Pants decompositions and the Weil-Petersson metric.
In Complex Manifolds and Hyperbolic Geometry, American Mathematical Society, Providence, 2002, 343 pp.

Cone-manifolds and the density conjecture.
(With Ken Bromberg). In Kleinian Groups and Hyperbolic 3-Manifolds, London Math Society Lecture Note Series, Cambridge Univesrity Press, 2003.

Weil-Petersson translation distance and volumes of mapping tori.
Preprint (2001). Comm. Anal. Geom. 11 (2003), pp. 987-999.

The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores.
J. Amer. Math. Soc., 16 (2003), pp. 495-535.

Boundaries of Teichmüller spaces and end-invariants for hyperbolic 3-manifolds.
Duke Math. J., 106 (2000), pp. 527-552.

Continuity of Thurston's length function.
Geom. & Funct. Anal., 10 (2000), pp. 741-797.

Iteration of mapping classes and limits of hyperbolic 3-manifolds.
Invent. Math. 143 (2001), pp. 523-570.

Iteration of mapping classes and limits of hyperbolic 3-manifolds. [ps.gz].
Doctoral Disstertation, University of California, Berkeley, 1997.

Iteration of mapping classes on a Bers slice: examples of algebraic and geometric limits of hyperbolic 3-manifolds.
In Lipa's Legacy, J. Dodziuk, L. Keen, ed., Proceedings of the Bers Colloquium, 1997, pp. 81-106.

The standard double bubble in R^2 uniquely minimizes perimeter.
(with M. Alfaro et. al.) Pacific Journal of Mathematics, 159, (1993), no. 1, 47-59.

Almost Alternating Links.
(with C. Adams et. al.) Topology and its Applications 46, (1992), no. 2, 151 165.