Allen Juntao Fang (方君陶）
I am currently a postdoc at the University of Muenster in the group of Gustav Holzegel.
allen dot juntao dot fang at uni-muenster.de
Research :
I am interested in mathematical relativity with a focus on stability questions and wave equations on curved backgrounds. I am also interested in spectral theory. My work involves both the scattering resolvent method and the vectorfield method.
CV:
A copy of my CV can be found here.
Publications:
Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field (with Qian Wang and Shiwu Yang). Annals of PDE 7, 3 (2021), arXiv:1902.08927
Linearized stability of the slowly-rotating Kerr-de Sitter family. arXiv:2207.07902
Nonlinear stability of the slowly-rotating Kerr-de Sitter family. arXiv:2112.07183
Initial data for Minkowski stability with arbitrary decay (with Jérémie Szeftel and Arthur Touati) arXiv:2401.14353
Spacelike initial data for black hole stability (with Jérémie Szeftel and Arthur Touati) arXiv:2405.02071
Thesis:
A copy of my thesis is available here.
Talks:
Waves in the vanishing cosmological constant limit (February 2024) Analysis and PDE Seminar at University of Massachusetts Amherst
A new proof of the nonlinear stability of the slowly-rotating Kerr-de Sitter family (February 2024) Analysis Seminar at Yale University
Wave behavior in the vanishing cosmological constant limit (December 2023) Columbia General Relativity and Geometric Analysis Seminar at Columbia University
Wave behavior in the vanishing cosmological constant limit (November 2023) Séminaire Physiques Mathématique at Institut Fourier
Λ-independent decay estimates (September 2023) Hyperbolic PDEs and Nonlinear Evolution Programs at MATRIX
A new proof of the nonlinear stability of the slowly-rotating Kerr-de Sitter family (June 2023) Spectral Theory and Mathematical Relativity program at ESI
A new proof of the nonlinear stability of the slowly-rotating Kerr-de Sitter (May 2023) MMMM at Northwestern University
A novel proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (March 2023) PDE Seminar at Vanderbilt University
A novel proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (November 2022) Hyperbolic & Dispersive PDE Seminar at Rutgers University
A novel proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (October 2022) Columbia General Relativity and Geometric Analysis Seminar at Columbia University
A new proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (September 2022) Analysis Seminar at Princeton University
A new proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (March 2022) Mathematical General Relativity and Hyperbolic PDE Seminar
A new proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (March 2022) Analysis and PDE seminar at the University of Melbourne
A new proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (February 2022) Analysis and PDE seminar at Johns Hopkins University
A new proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (February 2022) Analysis and PDE seminar at Stanford University
A new proof for the nonlinear stability of the slowly-rotating Kerr-de Sitter family (February 2022) Analysis Seminar at the University of North Carolina - Chapel Hill
Nonlinear stability of the slowly-rotating Kerr-de Sitter family (January 2022) Topics in General Relativity seminar at the WWU in Muenster
Nonlinear stability of the slowly-rotating Kerr-de Sitter family (December 2021) Conference on geometric analysis and hyperbolic equations at Guangxi University
The nonlinear stability of the slowly-rotating Kerr-de Sitter family (November 2021) General relativity seminar of Paris
High-frequency resolvent estimates for the scalar wave equation on Schwarzschild-de Sitter black hole spacetimes (October 2020) PhD Seminar at the Laboratoire Jacques Louis Lions
A (mostly) physical introduction to the mathematical theory of scattering resonances (January 2020) Working group on analysis of PDEs at the Laboratoire Jacques-Louis Lions
Introduction to (energy in) general relativity (February 2019) PhD student Seminar at the University of Lorraine
Nonlinear stability of de Sitter space using resonance expansion (November 2018), General relativity working group at the Laboratoire Jacques-Louis Lions