Topological tameness of Margulis spacetimes (with Suhyoung Choi)
Crooked surfaces and anti-de Sitter geometry
Crooked halfspaces
(with Jean-Philippe Burelle, Virginie Charette and Todd A. Drumm), to appear in L'enseignement mathematique
Affine cubic surfaces and relative SL(2)-character varieties of compact surfaces
(with Domingo Toledo)
Geodesics on Margulis spacetimes
(with Francois Labourie), Ergodic Theory and Dynamical Systems
Finite-sided deformation spaces of complete affine 3-manifolds
(with Virginie Charette and Todd A. Drumm)
Affine deformations of the three-holed sphere
(with Virginie Charette and Todd A. Drumm)
Locally homogeneous geometric manifolds
(ICM2010 invited address)
Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3-manifolds.
Stretching three-holed spheres and the Margulis invariant
(with Virginie Charette and Todd A. Drumm)
Action of the Johnson-Torelli group on Representation Varieties,
(with Eugene Z. Xia)
Ergodicity of mapping class group action on SU(2)-character varieties,
(with Eugene Z. Xia),
Proper affine actions and geodesic flows on hyperbolic surfaces,
(with Francois Labourie and Gregory Margulis)
Trace coordinates on Fricke spaces of some simple hyperbolic surfaces,
Higgs bundles and geometric structures on surfaces.
A Primer on the (2+1)-Einstein Universe,
(with Thierry Barbot, Virginie Charette, Todd A. Drumm, and Karin Melnick)
Rank one Higgs bundles and fundamental groups of Riemann surfaces,
(with Eugene Z. Xia)
Remarks on a paper of Mess,
(with Kevin Scannell, Lars Andersson, Thierry Barbot, Riccardo Benedetti, Francesco Bonsante, Francois Labourie, Jean.-Marc. Schlenker)
An ergodic action of the outer automorphism group of a free group
Energy of Twisted Harmonic Maps of Riemann Surfaces,
(with Richard Wentworth)
What is a ... projective structure?
The Mapping Class Group acts reducibly on SU(n)-character varieties
Mapping Class Group Dynamics on Surface Group Representations
Is the deformation space of complete affine structures on the 2-torus smooth?,
(with Oliver Baues)
Real projective structures on 2-dimensional orbifolds,
(with Suhyoung Choi)
Homological action of the modular group on some cubic moduli spaces,
(with Walter D. Neumann).,
A 3-manifold with no real projective structure,
(with Daryl Cooper)
Recurrence of geodesics in flat Lorentz 3-manifolds,
(with Virginie Charette and Cathy Jones)
The complex symplectic geometry of SL(2,C)-characters over surfaces,
Action of the modular group on real SL(2)-characters of a one-holed torus,
Complete flat affine and Lorentzian manifolds,
(with Virginie Charette, Todd A. Drumm and Maria Morrill)
The Margulis Invariant of Isometric Actions on Minkowski (2+1)-Space
Complex hyperbolic manifolds homotopy-equivalent to a Riemann surface
(with Bernhard Leeb and Michael Kapovich)
Isospectrality of flat Lorentz 3-manifolds,
(with Todd Drumm)
Affine Schottky Groups and Crooked Tilings
(with Virginie Charette)
Flat Lorentz 3-Manifolds and Cocompact Fuchsian Groups
(with Gregory Margulis)
The Topology of the Moduli space of the Quadruply-Punctured Sphere
(with Robert Benedetto)
The Geometry of Crooked Planes
(with Todd A. Drumm)
The Classification of Real Projective Structures on compact surfaces,
(with Suhyoung Choi)
Ergodic Theory on Moduli Spaces
Convex real projective structures on closed surfaces are closed
(with S. Choi)
Convex real projective structures on compact surfaces
Crooked Planes
(with Todd A. Drumm)
The deformation theory of representations of fundamental groups of Kaehler manifolds,
(with John Millson, based on a letter from Pierre Deligne)
Complete flat Lorentz 3-manifolds with free fundamental group
(with Todd Drumm)
Nonstandard Lorentz space forms
Invariant functions and Hamiltonian flows of surface group representations
The symplectic nature of fundmental groups of surfaces
Local rigidity of discrete groups acting on complex hyperbolic space
(with John Millson)
Topological Components of Spaces of Representations
Affine manifolds and orbits of algebraic groups
(with Morris Hirsch)
The radiance obstruction and parallel forms on affine manifolds
(with Morris Hirsch)
The fundamental group of a compact flat Lorentz manifold is virtually polycyclic
(with Yoshinobu Kamishima)
Three-dimensional Affine Crystallographic Groups
(with David Fried)
Two examples of affine manifolds
On the polynomial cohomology of affine manifolds
A generalization of Bieberbach's theorem
(with Morris Hirsch)
Flat bundles with solvable holonomy II: Obstruction theory
Flat bundles with solvable holonomy I
(with Morris Hirsch)
Affine Manifolds with Nilpotent Holonomy
(with David Fried and Morris Hirsch)
Characteristic Classes and Representations of Discrete Subgroups of Lie Groups
Discontinuous Groups and the Euler Class
(Doctoral dissertation, University of California, Berkeley 1980)

Research Papers

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