Research
This page is devoted to my research in pure mathematics
(geometry and topology). My papers on natural language processing and
minority languages can be found
here.
Areas of Interest
- Hyperbolic, conformal, and Lorentzian geometry
- Deformations and rigidity of geometric structures
- Low-dimensional topology
Papers
-
Flat conformal structures and the classification of de Sitter manifolds,
Comm. Anal. Geom.
7 (1999), no. 2, 325-345.
(PDF,
MR 2000a:53122)
-
Infinitesimal deformations of some SO(3,1) lattices,
Pacific J. Math.
194 (2000), no. 2, 455-464.
(PDF,
download page,
MR 2001c:57018)
-
3-manifolds which are spacelike slices of flat spacetimes,
Classical Quantum Gravity
18 (2001), no. 9, 1691-1701.
(PDF,
MR 2002k:53113)
-
A one-dimensional embedding complex
(with Dev Sinha),
J. Pure Appl. Algebra
170 (2002), no. 1, 93-107.
(PDF,
download page,
MR 2003b:55012)
-
Local rigidity of hyperbolic 3-manifolds after Dehn surgery,
Duke Math. J.
114 (2002), no. 1, 1-14.
(PDF,
MR 2003e:57031)
-
The grafting map of Teichmüller space
(with Michael Wolf),
J. Amer. Math. Soc.
15 (2002), no. 4, 893-927.
(PDF,
download page,
MR 2003d:32011)
-
New perspectives on self-linking
(with Ryan Budney, James Conant, and Dev Sinha),
Adv. Math.
191 (2005), no. 1, 78-113.
(PDF,
MR 2005h:57013)
-
The generalized cuspidal cohomology problem
(with Anneke Bart),
Canad. J. Math.
58 (2006), no. 4, 673-690.
(PDF,
MR 2007i:22013)
-
A note on stamping
(with Anneke Bart),
Geometriae Dedicata 126 (2007), no. 1, 283-291.
(PDF)
-
Notes on a paper of Mess
(with Lars Andersson,
Thierry Barbot,
Riccardo Benedetti,
Francesco Bonsante,
William M. Goldman,
François Labourie, and
Jean-Marc Schlenker),
Geometriae Dedicata 126 (2007), no. 1, 47-70.
(PDF, along with Mess' original paper)
AMS Abstracts
-
Deformations of flat conformal structures for hyperbolic 3-manifolds,
Abstract 927-57-241, 1998
(PDF)
-
Deformation problems in hyperbolic and Lorentzian geometry,
Abstract 941-57-229, 1999
(PDF)
-
Generalized bending laminations for hyperbolic n-manifolds,
Abstract 974-57-158, 2002
(PDF)
-
Cohomology constructions for hyperbolic knot and link complements,
Abstract 1001-57-365, 2004
(PDF)
Other Resources
