My research concerns mathematical problems arising in General Relativity. I am especially interested in the behaviour of solutions to wave equations close to lightlike hypersurfaces, such as Cauchy horizons and event horizons. This leads to singular and degenerate hyperbolic PDEs on Lorentzian spacetimes. My research has been applied (with I. Rácz) to prove rigidity theorems for vacuum spacetimes with a compact Cauchy horizon, dropping the analyticity assumption in classical works by Moncrief and Isenberg.

Publications and preprints:

Extension of Killing vector fields beyond compact Cauchy horizons. arXiv:1903.09135

Mean curvature flow in asymptotically flat product spacetimes. (with 8 other authors) arXiv:1903.03502

Symmetries of vacuum spacetimes with compact Cauchy horizons of constant non-zero surface gravity. (with István Rácz) arXiv: 1809.02580

Wave equations with initial data on compact Cauchy horizons. arXiv: 1802.10057

On the Cauchy problem for the linearised Einstein equation. arXiv: 1802.06028

I am currently a Postdoc 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.

Talks:

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)