Research Papers
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Topological tameness of Margulis
spacetimes (with Suhyoung Choi)

Crooked surfaces and antide Sitter geometry

Crooked halfspaces
(with JeanPhilippe 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

Finitesided deformation spaces of complete affine 3manifolds
(with Virginie Charette and Todd A. Drumm)

Affine deformations of the threeholed sphere
(with Virginie Charette and Todd A. Drumm)

Locally homogeneous geometric manifolds
(ICM2010 invited address)

Stretching threeholed spheres and the Margulis invariant
(with Virginie Charette and Todd A. Drumm)

Action of the JohnsonTorelli 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 2torus smooth?,
(with Oliver Baues)

Real projective structures on 2dimensional orbifolds,
(with Suhyoung Choi)

Homological action of the modular group on some cubic moduli spaces,
(with Walter D. Neumann).,

A 3manifold with no real projective structure,
(with Daryl Cooper)

Recurrence of geodesics in flat Lorentz 3manifolds,
(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 oneholed 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 homotopyequivalent to a Riemann surface
(with Bernhard Leeb and Michael Kapovich)

Isospectrality of flat Lorentz 3manifolds,
(with Todd Drumm)

Affine Schottky Groups and Crooked Tilings
(with Virginie Charette)

Flat Lorentz 3Manifolds and Cocompact Fuchsian Groups
(with Gregory Margulis)

The Topology of the Moduli space of the QuadruplyPunctured 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 3manifolds 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)

Threedimensional 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)
This page was last modified May 6, 2024.
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