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• Remarks on the size of apparent horizons, Letters in Mathematical Physics 113 (2023) 118, pdf.
  
  
• Marginally Outer Trapped Surfaces and Scalar Curvature Rigidity Perspectives in Scalar Curvature, Volume II. Mikhail Gromov and Blaine Lawson (eds.), World Sci- entific, 2023, pdf.
  
  
• Some rigidity results for compact initial data sets (with Abraão Mendes), Trans. AMS 377 (2024) 1989-2007. pdf.
  
  
• Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime (with P. Chruściel). Invited contribution to a volume in honor of Yvonne Choquet-Bruhat, arXiv:2208.09893.
  
  
• The codimension 2 null cut locus with applications to spacetime topology (with E. Ling), J. Math. Phys. 63 (2022) 122501, pdf.
  
  
• The topology of general cosmological models (with M. Khuri and E. Woolgar), Classical and Quantum Gravity 39 (2022) 195004. arXiv:2010.06739.
  
  
• Remarks on the existence of CMC Cauchy surfaces (with E. Ling). In: Developments in Lorentzian Geometry. GELOMA 2021, A. Albujer, M. Caballero, A. García-Parrado, J. Herrera, R. Rubio (eds). Springer Proceedings in Mathematics & Statistics, vol 389 (2022), arXiv:2104.02136.
  
  
• A note on the positive mass theorem with boundary (with D. A. Lee), Letters in Mathematical Physics 111 (2021) 111 pdf.
  
  
• Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary (with P. T. Chrusciel), Classical and Quantum Gravity 38 (2021) 237001. pdf.
  
  
• Initial data rigidity results (with M. Eichmair and A. Mendes), Commun. Math. Phys. 386 (2021) 253-268, pdf.
  
  
• A Bakry-Emery Almost Splitting Result With Applications to the Topology of Black Holes (with M. Khuri and E. Woolgar), Commun. Math. Phys. 384 (2021) 2067-2101. pdf.
  
  
• Photon surfaces with equipotential time-slices (with C. Cederbaum), J. Math. Physics 62 (2021) 032504, pdf.
  
  
• Some scalar curvature warped product splitting theorems (with H. C. Jang), Proc. Amer. Math. Soc. 148 (2020) 2617-2629, pdf.
  
  
• Uniqueness and energy bounds for static AdS metrics (with P. T. Chrusciel and Y. Potaux), Phys. Rev. D 101 (2020) 064034, pdf.
  
  
• A conformal infinity approach to asymptotically AdS_2 x S^{n-1} spacetimes (with M. Graf and E. Ling), Ann. Henri Poincare 21 (2020) 4073-4095, pdf.
  
  
• Existence of CMC Cauchy surfaces and spacetime splitting, Pure Applied Math. Quarterly 15 (2019) 667-682, pdf.
  
  
• Rigidity of asymptotically AdS_2 x S^2 spacetimes (with M. Graf), Adv. Theor. Math. Phys. 23 (2019) 403-435, pdf.
  
  
• On the geometry and topology of initial data sets with horizons (with L. Andersson, M. Dahl and D. Pollack), Asian J. Math. 18 (2018) 863-882, pdf.
  
  
• Topology and singularities in cosmological spacetimes obeying the null energy condition (with E. Ling), Commun. Math. Phys. 360 (2018) 611-617, pdf.
  
  
• Timelike completeness as an obstruction to $C^0$-extensions (with E. Ling and J. Sbierski), Commun. Math. Phys. 359 (2018) 937-949. pdf.
  
  
• Rigidity of marginally outer trapped 2-spheres (with Abraao Mendes), Commun. Anal. Geom 18 (2018) 63-83. pdf.
  
  
• Rigidity of outermost MOTS - the initial data version, Gen. Rel. and Gravitation 50 (2018) 32, pdf
  
  
• Existence of CMC Cauchy surfaces from a spacetime curvature condition (with Eric Ling), Gen. Rel. and Gravitation, 50 (2018) 108. pdf.
  
  
• On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds (with Piotr Chru??ciel, Luc Nguyen, and Tim-Torben Paetz), Class. Quant. Grav., 35 (2018) 115015, pdf.
  
  
• Weakly trapped surfaces in asymptotically de Sitter spacetimes (with Piotr Chru??ciel, and Eric Ling), Class. Quantum. Grav. 35 (2018) 135001. pdf.
  
  
• Rigidity in vacuum under conformal symmetry (with Carlos Vega), Letters in Mathematical Physics 108 (2018) 2285-2292, pdf.
  
  
• Some Remarks on the $C^0$-(in)extendibility of Spacetimes (with E. Ling), Ann. Henri Poincare 18 (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 Gravity 18 (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. B 505 (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 Poincare 1 (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.
  
  
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