Gustav Holzegel
Universität Münster
Mathematical Institute
Contact
CV
The Group:
Dr. Christopher Kauffman (personal homepage)
Dr. Athanasios Chatzikaleas (personal homepage)
Dr. Allen Fang (personal homepage)
Dr. Marios-Antonios Apetroaie (personal homepage)
Alessandra Tullini (personal homepage)
Jose Rafael Santiago Arellano (joint with Prof. Dr. Hein & Dr. Santoro)
Milos Provci (personal homepage)
Group Seminar and PDE Colloquium
PDE Colloquium
Visitors and Former Members
University of Münster Page of the Group
Conference "New Trends in Geometric PDEs"
Preprints:
- Collingbourne, S, Holzegel, G, Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity, arXiv:2307.05458.
- Holzegel G, Kauffman, Ch, The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms, arXiv:2302.06387.
- Dafermos M, Holzegel G, Rodnianski I, Taylor M, Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes, arXiv:2212.14093.
- Dafermos M, Holzegel G, Rodnianski I, Taylor M, The non-linear stability of the Schwarzschild family of black holes, arXiv:2104.08222.
Publications:
- Holzegel G, Shao A, 2023, The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes, Archive for Rational Mechanics and Analysis, Vol: 247.
- Graf O, Holzegel G, 2023, Mode stability results for the Teukolsky equations on Kerr–anti-de Sitter spacetimes, Classical and Quantum Gravity, Vol: 40.
- Holzegel G, Luk J, Smulevici J, Warnick C, 2020, Asymptotic properties of linear field equations in anti-de Sitter space, Communications in Mathematical Physics, Vol: 374, Pages: 1125-1178.
- Holzegel G, Dafermos M, Rodnianski I, 2019, Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case |a|≪M, Annals of PDE, Vol: 5, Pages: 1-118.
- Dafermos M, Holzegel G, Rodnianski I, 2019, The linear stability of the Schwarzschild solution to gravitational perturbations, Acta Mathematica, Vol: 222.
Complete List
Teaching:
SS 2024: Seminar "Topics in General Relativity"
WS 2023/2024: Seminar "Topics in General Relativity"
SS 2023: Seminar "Topics in General Relativity"
WS 2021/2022 and WS 2023/2024: Lecture “General Relativity and the Analysis of Black Hole Spacetimes”
Skript,
Sheet 1, Sheet 2,
Sheet 3, Sheet 4,
Sheet 5, Sheet 6, Sheet 7,
Sheet 8, Sheet 9, Sheet 10,
Sheet 11, Sheet 12,
Sheet 13
SS 2021 and WS 2022/2023: Lecture “Non-linear Wave Equations”
Skript, Sheet 1, Sheet 2, Sheet 3,
Sheet 4, Sheet 5, Sheet 6, Sheet 7,
Sheet 8, Sheet 9, Sheet 10, Sheet 11,
Sheet 12
Outreach: