Office: Jones 111
I'm an assistant professor in
Mathematics at the College of William and Mary. 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
. On the biholomorphism group of a bounded domain
. 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.
(with Goldilocks domains, a weak notion of visibility, and applications G. Bharali).
Advances in Mathematics, 310: 377-425, 2017.
(with Rigidity of convex divisible domains in flag manifolds W. Van Limbeek).
Entropy rigidity of Hilbert and Riemannian metrics T. Barthelmé and
Accepted to International Mathematics Research Notices.
. Proper quasi-homogeneous domains in flag manifolds and geometric
. 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 B. Collier,
B. Reiniger, B. Turmunk).
Compositio Mathematica, 148: 1969-1984, 2012.
Last updated: November 12, 2017.