Aghil Alaee Khangha

Aghil Alaee Khangha is an Assistant Professor in the Mathematics department at Clark University, where he joined in Fall 2020. His research focuses on geometric analysis and mathematical relativity, particularly investigating conjectures in general relativity and black hole formation using techniques from differential geometry and partial differential equations. He has held postdoctoral fellowships at Harvard University, the University of Toronto, the University of Alberta, and Memorial University, where he earned his Ph.D. in Mathematics in 2015.

His education includes:

• Ph.D. in Mathematics, Memorial University, 2015
• PIMS Postdoctoral Fellow, University of Alberta, 2015-2017
• NSE Postdoctoral Fellow, University of Toronto, 2017-2018
• Postdoctoral Fellow, Harvard University, 2018-2019

Research Interests: Professor Alaee’s work centers on geometric inequalities involving black hole properties (e.g., mass, angular momentum, charge) and quasi-local energy. He has contributed to foundational results in geometric analysis, such as stability proofs for the positive mass theorem and the development of novel quasi-local mass concepts. His studies often bridge differential geometry with physical principles in general relativity.

Key trends in his publications (2014–2025) include:

• Advancements in quasi-local mass definitions and their applications to black hole physics
• Exploration of geometric inequalities in higher-dimensional spacetimes
• Analysis of stability and rigidity in relativistic initial data sets

Advising & Grants: No advisees or grant details are listed in the provided texts. Laboratory affiliations or team collaborations are not explicitly mentioned.