Papers
Papers in .pdf format; red dot retrieves dvi
format.
Asymptotics of Weil-Petersson geodesics I: ending laminations,
recurrence and flows.
(With Howard Masur and Yair Minsky). To appear, in Geom. &
Funct. Anal.
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.
Geometric inflexibility of hyperbolic 3-manifolds,
(With Ken Bromberg). 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 classification of Kleinian surface groups II: the ending lamination conjecture.
(With Dick Canary and Yair Minsky). Submitted for Publication.
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.
Jeffrey F. Brock
Research partially supported by the NSF.