||The papers are in .pdf format.
-Holomorphic Rigidity of Teichmuller space, with G. Daskalopoulos. Submitted for publication (arXiv:1502.03367)
Essential Regularity of the Model Space for the Weil-Petersson Metric, with G. Daskalopoulos. To appear J. Reine Angew. Math.
-C1-estimates for the Weil-Petersson metric, with G. Daskalopoulos. To appear Trans. of the American Mathematical Society.
- On the Singular Set of Harmonic Maps into DM-Complexes with G. Daskalopoulos. Memoir of the American Math. Soc. 239 (2016).
- Higgs bundles over cell complexes and representations of finitely presented groupd, with G. Daskalopoulos and G. Wilkin, Graeme, submitted for publication.
Surfaces groups acting on CAT(-1) spaces, with G. Daskalopoulos, A. Sanders and A. Vdovina Alina. Submitted for publication.
- On the singular set of nonlinear degenerate PDE arising in Teichmuller theory, with G. Daskalopoulos, submitted for publication.
- On the Intrinsic Differentiability Theorem of Gromov-Schoen with G. Daskalopoulos.
Surveys in Geometric Analysis and Relativity ALM 20, 189-203.
- Monotonicity properties of harmonic maps into NPC spaces with G. Daskalopoulos.
J. Fixed Point Theory Appl. 11 (2012) 225-243.
- Superrigidity of Hyperbolic Buildings with G. Daskalopoulos and Alina Vdovina,
Geom. Funct. Anal. 21 (2011), no. 4, 905-919.
-The Plateau problem in Alexandrov Spaces
with P. Zulkowski. J. Differential Geom. 85 (2010), no. 2, 315-356.
Local uniformization and free boundary regularity of minimal singular surfaces
with S. Yamada,
to appear in Journal of Geometric Analysis (available online at www.springer.com).
Harmonic maps between singular spaces Iwith G. Daskalopoulos.
Comm. Anal. Geom. 18 (2010) no. 2, 257-337.
-Fixed point and rigidity theorems for harmonic
maps from simplicial complexes to NPC spaces with G. Daskalopoulos.
Geometriae Dedicata 141 (2009), 33-57.
-Harmonic maps from simplicial
complexes and geometric rigidity with G. Daskalopoulos.
J. Differential Geom. 78 (2008), no. 2, 269-293.
-Harmonic maps from
two-complexes with G. Daskalopoulos. Communications in
Analysis and Geometry 14 (2006) 497-549.
-The parameterized Steiner problem and
the singular Plateau Problem via energy with S. Yamada.
Transactions of the American Mathematical Society 358 (2006)
maps and minimal surfaces in singular geometry. Clay Mathematics
Proceedings 2 (2005) 773-782.
-Regularity of Harmonic maps from a flat complex. Variational
Riemannian Geometry: Bubbles, Scans and Geometric Flows.
Progress in Non-Linear Differential Equations. Editor: P.
Baird et. al.
-A variational construction of
the Teichmuller map. Calculus of Variations 21 (2004) 15-46.
theorems for harmonic maps into metric spaces.
Communications in Contemporary Mathematics 4 (2002) 725-750.
-Harmonic maps into spaces with an
upper curvature bound in the sense of Alexandrov. Math. Z. 242
-Harmonic maps between surfaces and
Teichmuller spaces. American Journal of Mathematics 124 (2002)
-Curvature of minimal surfaces in
singular spaces. Communications in Analysis and Geometry 9 (2001)
-The Bernstein problem for
complete Lagrangian stationary surfaces. Proceedings of the
American Mathematical Society. 129 (2000) 573-580.
-Some properties of minimal
surfaces in singular spaces. Transactions of the American
Mathematical Society 352 (2000) 3957-3969.
-Structure of singular spaces of
dimension 2. Manuscripta Mathematica 100 (1999) 375-389.
-Minimal surfaces and conformal mappings into singular spaces. Thesis
at Stanford University.