Existence of CMC Cauchy surfaces from a spacetime curvature condition(with Eric Ling), arXiv:arXiv:1804.05949.

Rigidity of asymptotically AdS2 x S2spacetimes(with Melanie Graf), arXiv:1803.10529.

Weakly trapped surfaces in asymptotically de Sitter spacetimes(with Piotr Chrusciel, and Eric Ling), to appear in Class. Quant. Grav., arXiv:1803.02339.

On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds(with Piotr Chrusciel, Luc Nguyen, and Tim-Torben Paetz), to appear in Class. Quant. Grav., arXiv:1801.03442.

Rigidity in vacuum under conformal symmetry(with Carlos Vega), Letters in Mathematical Physics (2018) pdf.

On the geometry and topology of initial data sets with horizons(with L. Andersson, M. Dahl and D. Pollack), to appear in Asian J. Math. arXiv:1508.01896.

Rigidity of outermost MOTS - the initial data version, Gen. Rel. Grav. J. (2018). pdf

A note on the rigidity of marginally outer trapped 2-spheres(with Abraao Mendes), Commun. Anal. Geom18(2018) 63-83. pdf.

Topology and singularities in cosmological spacetimes obeying the null energy condition(with E. Ling), Commun. Math. Phys. (2017), pdf.

Timelike completeness as an obstruction to $C^0$-extensions(with E. Ling and J. Sbierski), Commun. Math. Phys.359(2017) 937-949. pdf.

Some Remarks on the $C^0$-(in)extendibility of Spacetimes(with E. Ling), Ann. Henri Poincare18(2017) 3427-3447, pdf.

Hausdorff closed limits and rigidity in Lorentzian geometry(with C. Vega), Ann. Henri Poincare,18(2017) 3399-3426 pdf.

Uniqueness of photon spheres via positive mass rigidity(with C. Cederbaum), Commun. Anal. Geom.,25(2017) 303-320, pdf.

Variational and rigidity properties of static potentials(with P. Miao), Commun. Anal. and Geom.25(2017) 163-183, pdf.

Uniqueness of photon spheres in electro-vacuum spacetimes(with C. Cederbaum), Class. Quantum Grav.33(2016) 075006, pdf.

On static Poincare-Einstein metrics(with E. Woolgar), Journal of High Energy Physics,JHEP06(2015) 051, pdf.

On the topology of initial data sets with higher genus ends(with K. Baker), Commun. Math. Phys.,336(2015) 431-440, pdf.

Cosmological singularities in Bakry-Emery spacetimes(with E. Woolgar), J. Geom. Phys.,86(2014) 359-369, pdf.

Outer trapped surfaces are dense near MOTSs(with P. Chrusciel), Class. Quantum Grav.,31(2014) 045013, pdf.

Achronal limits, Lorentzian spheres, and splitting(with C. Vega), Ann. Henri Poincare,15(2014) 2241-2279, pdf.

Topological censorship from the initial data point of view(with M. Eichmair and D. Pollack), J. Diff. Geom.,95(2013) 389-405, pdf .

Constraints on the topology of higher dimensional black holes, in: Black holes in higher dimensions, 159-179, Cambridge Univ. Press, 2012, pdf.

Nonexistence of marginally trapped surfaces and geons in 2+1 gravity(with K. Schleich and D. M. Witt), Commun. Math. Phys.,310(2012) 285-298, pdf.

Stability and rigidity of extremal surfaces in Riemannian geometry and General Relativity, in: Surveys in geometric analysis and relativity, 221-239, Adv. Lect. Math., 20, Int. Press, 2011 (volume celebrating Richard Schoen's 60th birthday), pdf.

Singularity theorems from weakened energy conditions(with C. Fewster), Class. Quantum Grav.,28(2011) 125009, pdf.

Mathematical General Relativity: a sampler(with P. Chrusciel and D. Pollack), Bull. Amer. Math. Soc.,47(2010) 567-638, pdf.

Singularity theorems based on trapped submanifolds of arbitrary co-dimension(with J. M. M. Senovilla), Class. Quantum Grav. (Fast Track Communication),27(2010) 152002, pdf.

Uniqueness of static black-holes without analyticity(with P. Chrusciel), Class. Quantum Grav. (Fast Track Communication),27(2010) 152001, pdf.

Topological censorship for Kaluza-Klein space-times(with P. Chrusciel and D. Solis), Ann. Henri Poincare,10(2009) 893-912, pdf.

Some remarks on the size of bodies and black holes(with N. O'Murchadha), Class. Quant. Grav.,25(2008) 105009, pdf.

Rigidity of marginally trapped surfaces and the topology of black holes, Commun. Anal. Geom.,16(2008) 217-229 pdf.

Rigidity and positivity of mass for asymptotically hyperbolic manifolds(with L. Andersson and M. Cai), Ann. Henri Poincare,9(2008) 1-33 pdf.

Uniqueness of de Sitter space(with D. Solis), Classical Quantum Grav.,24(2007) 3125--3138, pdf.

A generalization of Hawking's black hole topology theorem to higher dimensions(with R. Schoen), Commun. Math. Phys.,266(2006) 571-576, pdf.

Some uniqueness results for dynamical horizon(with A. Ashtekar), Adv. Theor. Math. Phys.,9(2005) 1-30, pdf.

A poor man's positive energy theorem(with P. Chrusciel), Class. Quant. Grav.,21(2004) L59, pdf.

Cosmological spacetimes with $\Lambda > 0$, in: Advances in Differential Geometry and General Relativity, eds. S. Dostoglou and P. Ehrlich, Contemp. Math., vol. 359, Amer. Math. Soc., 2004, pdf.

Null geometry and the Einstein equations, in: The Einstein Equations and the Large Scale Behavior of Gravitational Fields, eds. P. T. Chrusciel and H. Friedrich, Birkhauser, 2004, pdf.

Non-Existence of Black Holes in Certain $\Lambda<0$ Spacetimes(with S. Surya and E. Woolgar), Classical Quantum Grav.20(2003) 565-573, pdf.

On the geometry and mass of static, asymptotically AdS spacetimes and the uniqueness of the AdS soliton(with S. Surya and E. Woolgar), Commun. Math. Phys.241(2003) 1-25, pdf.

dS/CFT and spacetime topology(with L. Andersson), Adv. Theor. Math. Phys.,6(2003) 307-327, pdf.

Some global results for asymptotically simple spacetimes, in: The conformal structure of space-times; geometry, analysis, numerics, (eds, J. Frauendiener and H. Friedrich), Lecture Notes in Physics, vol. 604 (2002), Springer Verlag, pdf.

A uniqueness theorem for the adS soliton(with S. Surya and E. Woolgar), Phys. Rev. Lett.,88(2002) 101102, pdf.

On the topology and area of higher dimensional black holes(with M. Cai), Classical Quantum Gravity18(2001), 2707--2718, pdf.

On fine differentiability properties of horizons and applications to Riemannian geometry(with P. Chrusciel, J.H.G. Fu, and R. Howard), J.Geom.Phys.41(2002) 1-12, pdf.

The AdS/CFT correspondence and topological censorship(with K. Schleich, D. Witt, and E. Woolgar), Phys. Lett. B505(2001) 255-262, pdf.

Regularity of horizons and the area theorem(with P. Chrusciel, E. Delay, and R. Howard), Ann. Henri Poincare,2(2001) 109-178, ps.gz.

Boundaries of zero scalar curvature in the AdS/CFT correspondence(with M. Cai), Adv. Theor. Math. Phys.,3(1999) 1769-1783, pdf.

Maximum principles for null hypersurfaces and null splitting theorems,Ann. Henri Poincare1(2000) 543-567. pdf.

Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature(with M. Cai), Commun. Geom. and Anal.,8(2000) 565-573, ps.gz.

Topological censorship and higher genus black holes(with K. Schleich, D. Witt, and E. Woolgar), Phys. Rev. D,60(1999) 104039, gr-qc/9902061, pdf.

The cosmological time function(with L. Andersson and R. Howard), Class. Quantum Grav.,15(1998) 309-322, gr-qc/9709084, ps.gz.

A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry(with L. Andersson and R. Howard), Commun. in Pure and Applied Math.,L1(1998) 581-624, dg-ga/9707015, ps.gz.

Horizons non-differentiable on a dense set(with P. Chrusciel), Commun. Math. Phys.,193(1998) 449-470, gr-qc/9611032, ps.gz.

Some rigidity results for spatially closed spacetimes,Mathematics of Gravitation, Part I: Lorentzian Geometry and Einsteins Equations, Banach Center Publications, vol. 41, Institute of Mathematics, Polish Academy of Sciences, Warsaw, 1997, ps.gz.

The cosmic censor forbids naked topology(with E. Woolgar), Class. Quantum Grav.14(1997) L1-L7, gr-qc/9609007, ps.gz.

Least area tori and 3-manifolds of nonnegative scalar curvature(with M. Cai), Math. Zeit.223(1996) 387-395, ps.gz.

A "finite infinity" version of topological censorship,Class. Quantum Grav.13(1996) 1471-1478.

Regularity of Lorentzian Busemann functions(with A. Horta), Trans. Amer. Math. Soc.348(1996) 2063-2084.

On the topology of the domain of outer communication,Class. Quantum Grav.12(1995) L99-L101.

Topological censorship and the topology of black holes(with S. Browdy), J. Math.Phys.36(1995) 4952-4961.

Least area tori, black holes and topological censorship,Contemp. Math.170(1994) 113-123 (eds. J. K. Beem and K. Duggal).

Local splitting theorems for Riemannian manifolds(with M. Cai and Z. Liu), Proc. Amer. Math. Soc.120(1994) 1231-1239.

The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity,Proc. Symp. Pure Math.54(1993) 249-257.

On the topology of black holes,Commun. Math. Phys.151(1993) 53-66.