معرفی
Dr. Allen Juntao Fang is a postdoctoral researcher at the Mathematical Institute, Department of Mathematics and Computer Science, University of Münster, where he works in the group of Professor Gustav Holzegel. His research lies at the intersection of mathematical relativity, geometric analysis, and partial differential equations, with a focus on the stability of black hole spacetimes and wave propagation in curved geometries.
His research interests include:
- Mathematical relativity and general relativity
- Stability of Kerr–de Sitter and Minkowski spacetimes
- Wave equations on black hole backgrounds
- Scattering resolvent and vector field methods
- Spectral theory and resonance analysis
- Initial data construction in general relativity
The most recent publications reflect a deep and sustained investigation into the nonlinear and linearized stability of rotating black holes in the presence of a positive cosmological constant. His work combines rigorous analytical techniques with physical insights, aiming to understand the long-term behavior of solutions to the Einstein equations. A recurring theme is the use of energy methods, resonance expansions, and high-frequency estimates to establish global existence and decay properties.
Scientific awards include:
- NSF Postdoctoral Fellowship DMS-2303241 (currently on hiatus)
Dr. Fang has been actively involved in the international mathematical community, presenting his research at prestigious institutions such as Columbia University, Princeton, Yale, Stanford, ETH Zurich, and others. While no formal students are listed, his role as a postdoc involves mentoring and collaboration within the research group. He has not received teaching-related titles, and there is no indication of part-time status. His current work continues to advance the mathematical foundations of general relativity, particularly in cosmological settings.
