Homepage of Dr. Athanasios Chatzikaleas
Contact Information
Dr. Athanasios Chatzikaleas
University of Muenster
Seminarraumzentrum (Office 326)
Orléans-Ring 12
48149 Muenster
Germany
Email addresses:
The photo was taken from the Archives of the Mathematisches Forschungsinstitut Oberwolfach.
Short CV
09/2021 - today, Post-Doctoral researcher
University: University of Munster
Head of the research group: Professor Gustav Holzegel09/2018 - 09/2021, Post-Doctoral researcher
University: Sorbonne Université (Pierre et Marie Curie)
Laboratory: Jacques-Louis Lions (LJLL)
Head of the research group: Professor Jacques Smulevici07/2018, PhD degree
University: University of Bonn
Prior to Bonn, I obtained my Masters degree from the Pure and Applied Mathematics department at the University of Crete as a student of Professor Stathis Filippas as well as my Bachelors degree from the Mathematics department at the University of Ioannina.
Research Interests
I am interested in the analysis of non-linear Partial Differential Equations in General Relativity. Specifically, my work concentrates around the following two directions:
Islands of stability and the constrution of time-periodic solutions to Einstein's equations near the Anti-de-Sitter spacetime.
Unique continuation for asymptotically Anti-de-Sitter spacetimes.
Publications and Preprints
Athanasios Chatzikaleas, Roland Donninger and Irfan Glogic. On blowup of co-rotational wave maps in odd space dimensions. Journal of Differential Equations. 263:8 (2017), 5090–5119. ArXiv Journal
Athanasios Chatzikaleas and Roland Donninger. Stable blowup for the cubic wave equation in higher dimensions. Journal of Differential Equations. 266:10 (2019), 6809–6865. ArXiv Journal
Athanasios Chatzikaleas. On the Fourier Analysis of the Einstein-Klein-Gordon System: Growth and Decay of the Fourier Constants. Annales Henri Poincaré (2023). ArXiv Journal
Athanasios Chatzikaleas. On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder. Journal of Mathematical Physics. 61(11):111505, 32, 2020. ArXiv Journal
Athanasios Chatzikaleas and Jacques Smulevici. Non-linear periodic waves on the Einstein cylinder. arXiv:2201.05447. To appear for publication in Analysis & PDE. ArXiv
Athanasios Chatzikaleas and Arick Shao. A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes. Communications in Mathematical Physics. 395, 521–570, 2022. ArXiv Journal
Athanasios Chatzikaleas and Jacques Smulevici. Time periodic solutions and Nekhoroshev stability to non-linear massive Klein-Gordon equations in Anti-de Sitter. arXiv:2304.12784. ArXiv
Collaborators
Professor Jacques Smulevici, Sorbonne Université (Pierre et Marie Curie)
Senior Lecturer Arick Shao, Queen Mary University
Professor Gustav Holzegel, University of Muenster
Downloads
PhD Thesis (University of Bonn)
Master Thesis (University of Crete)
Teaching
Fall 2021, General Relativity and the Analysis of Black Hole Spacetimes, University of Muenster
Fall 2022, Non-linear wave equations, University of Muenster
Fall 2023, Differential geometry, University of Munster
Lecture Notes
Hawking's Singularity Theorem, 15th Panhellenic Geometry Conference, University of Ioannina, Greece. (Lecture Notes and Slides)