Aghil Alaee, Ph.D.
Associate Professor of Mathematics
Department of Mathematics, Clark University
Worcester, MA, USA
Email: aalaeekhangh@clarku.edu
Aghil Alaee, Ph.D.
Associate Professor of Mathematics
Department of Mathematics, Clark University
Worcester, MA, USA
Email: aalaeekhangh@clarku.edu
Quasi-local Energy and Momentum in General Relativity
Study of quasi-local energy and momentum in finite spacetime regions, focusing on their definitions, properties, and applications in mathematical general relativity, including implications for the hoop conjecture.
Geometric Inequalities in General Relativity
Investigation of fundamental inequalities in general relativity and geometric analysis, including the positive mass theorem, Penrose inequality, mass–angular momentum inequality, area–angular momentum inequality, and Minkowski-type inequalities in both asymptotically flat, Euclidean, and hyperbolic settings.
Existence and Uniqueness of Black Hole Solutions
Analysis of stationary solutions to Einstein and Einstein-Maxwell (supergravity) equations in four and higher dimensions, including uniqueness and classification results for black hole solutions and near-horizon geometries.
My research has been supported by the following grants and fellowships.
NSF Grant DMS-2316965 – National Science Foundation
Faculty Development Grant – Clark University
Faculty Start-up Grant – Clark University
AMS-Simons Travel Grant – American Mathematical Society
Postdoctoral Fellowship – Black Hole Initiative, Harvard University
NSERC Postdoctoral Fellowship – Natural Sciences and Engineering Research Council of Canada
PIMS Postdoctoral Fellowship – Pacific Institute for the Mathematical Sciences