My research concerns mathematical problems arising in General Relativity. I am especially interested in singular initial value problems for wave equations on Lorentzian manifolds. These problems arise naturally in connection to Penrose's strong cosmic censorship conjecture. One example is the characteristic Cauchy problem, where initial data are prescribed on a lightlike hypersurface (like for example a Cauchy horizon).
Publications and preprints:
Symmetries of vacuum spacetimes with compact Cauchy horizons of constant non-zero surface gravity. (with István Rácz) Preprint: arXiv: 1809.02580
Wave equations with initial data on compact Cauchy horizons. Preprint: arXiv: 1802.10057
On the Cauchy problem for the linearised Einstein equation. Preprint: arXiv: 1802.06028
I am currently a post doc researcher in mathematics at the University of Hamburg. In March 2018, I received my PhD at Potsdam University under the supervision of Prof. Christian Bär. I did my undergraduate studies in Stockholm at KTH (Royal Institute of Technology) with exchange studies at ETH in Zurich and TUM/LMU in Munich.
December 6, 2018: Differential Geometry Research Seminar, University of Potsdam
October 18, 2018: Vienna Relativity Seminar, University of Vienna
June 18, 2018: Oberseminar Differentialgeometrie, University of Freiburg
April 18, 2018: Mathematical Relativity Seminar, Technico Lisboa
April 3, 2018: Relativity and Geometric Analysis seminar, KTH Royal institute of Technology (Stockholm)
March 21, 2018: Conference on Field equations on Lorentzian space-times, University of Hamburg
February 8, 2018: Winter School on Geometric evolution equations, University of Konstanz
July 10, 2017: Differential Geometry Research Seminar, University of Hamburg
February 22, 2017: 5th BMS Student conference, TU Berlin, video
March 27, 2015: Workshop on General Relativity, Brandenburg (Germany)