Gustav Holzegel
Universität Münster
Mathematical Institute
Contact
CV
The Group: University of Münster Page of the Group
Dr. Christopher Kauffman (personal homepage)
Dr. Allen Fang (personal homepage)
Gemma Hood
Alessandra Tullini (personal homepage)
Jose Rafael Santiago Arellano (joint with Prof. Dr. Hein & Dr. Santoro)
Milos Provci (personal homepage)
Visitors and Former Members
Group Seminar and PDE Colloquium
PDE Colloquium
Workshop "Muenster-Imperial Day in PDE"
Recent Preprints:
- Dafermos M, Holzegel G, Rodnianski I, Taylor M, Quasilinear wave equations on Kerr black holes in the full subextremal range |a| < M, arXiv:2410.03639
- Graf O, Holzegel G, 2024, Linear Stability of Schwarzschild-Anti-de Sitter spacetimes I: The system of gravitational perturbations, arXiv:2408.02251
- Graf O, Holzegel G, 2024, Linear Stability of Schwarzschild-Anti-de Sitter spacetimes II: Logarithmic decay of solutions to the Teukolsky system, arXiv:2408.02252
- Graf O, Holzegel G, 2024, Linear Stability of Schwarzschild-Anti-de Sitter spacetimes III: Quasimodes and sharp decay of gravitational perturbations, arXiv:2410.21994
- Holzegel G, Mavrogiannis G, Velozo Ruiz R, 2024, A note on integrated local energy decay estimates for spherically symmetric black hole spacetimes, arXiv:2403.02533
- 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.
Selected Publications:
- Collingbourne, S, Holzegel, G, 2024, Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity, Communications in Mathematical Physics, Vol: 405 (138).
- 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 (joint with Hendrik Weber) "Mathematical Methods of Classical Mechanics"
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,
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Sheet 8, Sheet 9, Sheet 10,
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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: