Aghil Alaee Khangha
Assistant Professor, Mathematics
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Professor Aghil Alaee Khangha joined the Mathematics department at Clark University in fall 2020. Before joining Clark University, he was a Black Hole Initiative fellow at Harvard University (2019-2020); a postdoctoral fellow at the Center of Mathematical Sciences and Applications at Harvard University (2018-2019); a Natural Sciences and Engineering Research Council postdoctoral fellow at the University of Toronto (2017-2018); and a Pacific Institute for the Mathematical Sciences postdoctoral fellow at the University of Alberta (2015-2017). He received his doctorate in mathematics, with distinction, from Memorial University in December 2015.
Professor Alaee's research focuses on geometric analysis and mathematical relativity. He investigates conjectures in general relativity — such as existence, uniqueness, and stability — and the formation of black holes using geometric analysis, which lies at the intersection of developments in differential geometry, partial differential equations, and modern physics. He has proved several geometric inequalities involving total energy, quasi-local energy, area of horizon, angular momentum, and charges of black holes.
Professor Alaee taught a variety of undergraduate mathematics courses at Clark University, Harvard University, University of Toronto, University of Alberta, and Memorial University.
Degrees
- Ph.D. in Mathematics, Memorial University, 2016
Affiliated Department(s)
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Scholarly and Creative Works
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A Minkowski inequality for Horowitz-Myers geon
Published in The Journal of Geometric Analysis
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2022
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Vol. 32
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Issue #180
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Cosmic Cloaking of Rich Extra Dimensions
Published in International Journal of Modern Physics D
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2021
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Vol. 30
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Issue #14
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Stable surfaces and free boundary marginally outer trapped surfaces.
Published in Calculus of Variations and Partial Differential Equations
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2021
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Vol. 60
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Issue #186
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A localized spacetime Penrose inequality and horizon detection with quasi-local mass
Published in Journal of Differential Geometry
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2021
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Formal power series for asymptotically hyperbolic Bach-flat metrics
Published in Letters in Mathematical Physics
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2020
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Vol. 110
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Positivity of static quasi-local masses
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A Penrose-type inequality with angular momentum for black holes with 3-sphere topology
Published in Journal of Mathematical Physics
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Existence and Uniqueness of Stationary Solutions in 5-Dimensional Minimal Supergravity
Published in Mathematical Research Letters
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Published in Communications in Mathematical Physics
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Positive mass theorem for initial data sets with corners along a hypersurface
Published in Communications in Analysis and Geometry
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Awards & Grants
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Faculty Development Fund
2023
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LEAPS-MPS NSF grant
2023
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