معرفی
Pei-Ken Hung is an Assistant Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. His research focuses on geometric analysis, general relativity, and statistical physics, with particular emphasis on differential geometry, geometric flows, and gravitational theories. He holds an office in Altgeld Hall and can be reached via pkhung@illinois.edu. His work bridges pure mathematics and theoretical physics, addressing problems in scalar curvature, quasi-local mass, and spacetime stability. Recent research includes studies on boundary behavior of manifolds, Minkowski inequalities in gravitational contexts, and linear stability analyses of Schwarzschild spacetimes.
His publications span journals like Proceedings of the American Mathematical Society, International Mathematics Research Notices, and Communications in Mathematical Physics, reflecting contributions to geometric analysis and relativity. Notable topics include inverse mean curvature flows, systolic inequalities, and geometric evolution equations. Hung collaborates with leading researchers in the field, such as A. Alaee, M. Khuri, and S. Brendle, advancing understanding of geometric structures and their physical implications.
His research trends emphasize interdisciplinary approaches to geometric problems, leveraging PDE techniques and geometric measure theory. While no awards are explicitly listed, his active publication record and academic role indicate sustained scholarly impact. Advising and grants details are not provided in available texts, but his work suggests engagement in graduate student mentorship and collaborative research initiatives.
