Department of Mathematics
William and Mary
Office: Jones 111
Teaching | Research | Student Mentoring | CV ]
I enjoy thinking about geometric structures on manifolds, several complex variables, Riemannian geometry, and discrete subgroups of Lie groups.
Publications / Preprints:
Papers by area: , all several complex variables, discrete subgroups of Lie groups, Riemannian geometry, . . .
I also have some
Smoothly bounded domains covering finite volume manifolds.
The automorphism group and limit set of a bounded domain II: the convex case.
The automorphism group and limit set of a bounded domain I: the finite type case.
Projective Anosov representations, convex cocompact actions, and rigidity.
Characterizing strong pseudoconvexity, obstructions to biholomorphisms, and Lyapunov exponents.
A gap theorem for the complex geometry of convex domains.
Accepted to Transactions of the AMS.
Generic analytic polyhedron with non-compact automorphism group.
Accepted to Indiana University Mathematics Journal.
Gromov Hyperbolicity of Bounded Convex Domains.
In: Blanc-Centi, editor, Metrical and dynamical aspects of complex analysis, pp. 67-114
Lecture Notes in Mathematics, Vol. 2195, New York: Springer, 2017.
Goldilocks domains, a weak notion of visibility, and applications
(with G. Bharali).
Advances in Mathematics, 310: 377-425, 2017.
Rigidity of convex divisible domains in flag manifolds
(with W. Van Limbeek).
Entropy rigidity of Hilbert and Riemannian metrics
T. Barthelmé and
International Mathematics Research Notices, 2017 (22): 6841-6866, 2017.
Proper quasi-homogeneous domains in flag manifolds and geometric
Accepted to Annales de l'Institut Fourier
Characterizing the unit ball by its projective automorphism group.
Geometry and Topology, 20: 2397-2432, 2016.
The structure of projective maps between real projective manifolds.
Geometriae Dedicata, 190: 81-102, 2017
Characterizing domains by the limit set of their automorphism group.
Advances in Mathematics, 308: 438-482, 2017.
An earlier version was titled: Characterizing polynomial domains by their automorphism group.
Gromov hyperbolicity, the Kobayashi metric, and C-convex sets.
Transactions of the AMS, 369: 8437-8456, 2017.
Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type.
Mathematische Annalen, 365: 1425-1498, 2016.
Rigidity of complex convex divisible sets.
Accepted to Journal of Topology and Analysis.
Boundaries of non-compact harmonic manifolds.
Geometriae Dedicata, 168: 339-357, 2014.
Compact asymptotically harmonic manifolds.
Journal of Modern Dynamics, 6: 377-403, 2012.
A symplectic proof of a theorem of Franks (with
B. Reiniger, B. Turmunk).
Compositio Mathematica, 148: 1969-1984, 2012.
Last updated: February 06, 2018.