# Research

Stable surfaces and free boundary marginally outer trapped surfaces. (Submitted). Publisher's VersionAbstract

Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space. To appear in Transactions of the American Mathematical Society (Forthcoming). Publisher's VersionAbstract

Positive mass theorem for initial data sets with corners along a hypersurface. To appear in Communications in Analysis and Geometry (Forthcoming). Publisher's VersionAbstract

Formal power series for asymptotically hyperbolic Bach-flat metrics. To appear in Letters in Mathematical Physics (Forthcoming). Publisher's VersionAbstract

Geometric Inequalities for Quasi-Local Masses. Communications in Mathematical Physics 378, 467–505 (2020). Publisher's VersionAbstract

Asymptotically flat extensions with charge. Advances in Theoretical and Mathematical Physics 23, 9, 1951-1980 (2019). Publisher's VersionAbstract

Existence and uniqueness of near horizon geometries for five dimensional black holes. Journal of Geometry and Physics 144, 370-387 (2019). Publisher's VersionAbstract

Bounding horizon area by angular momentum, charge, and cosmological constant in five dimensional minimal supergravity. Annales Henri Poincaré 20, 2, 481-525 (2018). Publisher's VersionAbstract

Mass-angular momentum inequality for black rings. Physical Review Letters 119, 7, 071101 (2017). Publisher's VersionAbstract

Relating mass to angular momentum and charge in 5-dimensional Minimal Supergravity. Annales Henri Poincaré 18, 5, 1703-1753 (2017). Publisher's VersionAbstract

Proof of the mass-angular momenta inequality for bi-Axisymmetric black holes with spherical topology. Advances in Theoretical and Mathematical Physics 20, 6, 1397-1441 (2017). Publisher's VersionAbstract

Remarks on mass and angular momenta for U(1)^2-invariant initial data. Journal of Mathematical Physics 57, 3, 032502 (2016). Publisher's VersionAbstract

Proof of the local mass-angular momenta inequality for U(1)^2 invariant black holes. Classical and Quantum Gravity 32, 16, 6845-6856 (2015). Publisher's VersionAbstract

Small deformations of extreme 5D Myers-Perry black hole initial data. General Relativity and Gravitation 47, 2, (2015). Publisher's VersionAbstract

Mass functional for initial data in 4 + 1 -dimensional spacetime. Physical Review D. 90, 12, 124078 (2014). Publisher's VersionAbstract

Notes on maximal slices of five-dimensional black holes. Classical and Quantum Gravity 31, 5, 055004 (2014). Publisher's VersionAbstract