# Publications in PDF format

### The Weil-Petersson gradient flow of renormalized volume and 3-dimensional convex cores. (arXiv).

(With Martin Bridgeman and Kenneth Bromberg). Geometry & Topology, 27 (2023) 3183-3228.

### Windows, cores, and skinning maps. (arXiv).

(With Ken Bromberg, Dick Canary, and Yair Minsky). Ann. Sci. Éc. Norm. Supér. (4) 53 (2020), no. 1, p. 173–216.

### Limit sets of Weil-Petersson geodesics with nonminimal ending laminations.

(With Christopher Leininger, Babak Modami, and Kasra Rafi). J. Topol. Anal. 12 (2020), pp. 1-28.

### Limit sets of Teichmüller geodesics with minimal nonuniquely ergodic vertical foliation, II. (arXiv).

(With Chris Leininger, Babak Modami, and Kasra Rafi). J. Reine Angew. Math. 758 (2020), 1–66.

### Limit sets of Weil-Petersson geodesics. (arXiv).

(With Christopher Leininger, Babak Modami, and Kasra Rafi). Int. Math. Res. Not. IMRN 2019, no. 24, pp. 7604-7658.

### Local topology in deformation spaces of hyperbolic 3-manifolds II. (arXiv).

(With Ken Bromberg, Richard Canary, Cyril Lecuire, and Yair Minsky). Groups Geom. Dyn. 13 (2019), no. 3, 767–793.

### Schwarzian derivatives, projective structures, and the Weil-Petersson gradient flow for renormalized volume. (arXiv).

(With Martin Bridgeman and Ken Bromberg). Duke Math. J. 168 (2019), no. 5, 867–896.

### Correction to "On the density of geometrically finite Kleinian groups."

(With Ken Bromberg). Acta Math., 219 (2017), pp. 17-19.

### Machine learning algorithm for automatic detection of CT-identifiable hyperdense lesions associated with traumatic brain injury.

Krishna N. Keshavamurthy ; Owen P. Leary ; Lisa H. Merck ; Benjamin Kimia ; Scott Collins ; David W. Wright ; Jason W. Allen ; Jeffrey F. Brock ; Derek Merck. Proc. SPIE 10134, Medical Imaging 2017: Computer-Aided Diagnosis, 101342G (March 23, 2017); doi:10.1117/12.2254227.

### Norms on the cohomology of hyperbolic 3-manifolds. (arXiv).

(With Nathan Dunfield). Invent. Math., 210, 2, (2017) pp. 531-558. DOI: 10.1007/s00222-017-0735-3.

### Geometric inflexibility of hyperbolic cone-manifolds. (arXiv).

(With Ken Bromberg). In "Hyperbolic geometry and geometric group theory," Adv. Stud. Pure. Math 73, (2017), pp. 47-64.

### Inflexibility, Weil-Petersson distance, and volumes of fibered 3-manifolds. (arXiv).

(With Ken Bromberg). Math. Res. Lett. 23 (2016) pp. 649-674.

### Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations. (arXiv).

(With Babak Modami). Geometry & Topology 19, (2015) pp. 3565-3602.

### Convergence and divergence of Kleinian groups. (arXiv).

(With Ken Bromberg, Richard Canary, Cyril Lecuire). J. Topology 8 (2015) 811-841.

### Bounded combinatorics and uniform models for hyperbolic 3-manifolds. (arXiv).

(With Yair Minsky, Hossein Namazi, and Juan Souto). Preprint (2013). To appear, Journal of Topology.

### Injectivity radii of hyperbolic integer homology 3-spheres. (arXiv).

(With Nathan Dunfield). Geometry & Topology, 19 (2015) 497–523.

### Convergence properties of end invariants. (arXiv).

(With Ken Bromberg, Dick Canary, and Yair Minsky). Geometry & Topology, 17 (2013) pp. 2877-2922.

### 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 & Topology, 12 (2008) 2453-2495.

### 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 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.