I have a broad range of research interests which are all related in one form or another with mathematical aspects of gravitation. I have to admit that I do have a kink for nice physical ideas and alternative approaches. Beaten paths do not really get me excited. However I do like to stay within the realms of reality. That being said I like my spacetime to be 4 dimensional and I like my matter models to satisfy reasonable energy conditions.

In the past I have written papers related to black hole shadows, spacetime limits, cosmology and one related to black hole stability.

My current research projects that I am more or less actively working on:

The gravitational spin hall effect for light. We are currently writing a review aiming to put the problem on a solid foundation. The idea for the effect is with no respect new, however it is appalling how many different and inconsistent results exist that all claim to be the first ones to discuss the effect. The goal is to unify the various approaches and thereby figure out which one is most likely to describe the true story. There seems to be a slight chance that this effect might actually get within the observable range. (For a telescope with the resolution similar to the Event Horizon Telescope)

*This is joint work with Marius Oancea.*

Baryogenesis in the Causal Fermion System framework. The Causal Fermion Systems framework was developed by Felix to give a unified description of the standard model and gravitation. Within this framework we have an idea on how to calculate the matter anti-matter asymmetry in the universe.

*This is joint work with Felix Finster.*

Marrying the Causal Fermion System framework with the ETH interpretation of Quantum Mechanics proposed by Jürg Fröhlich.

The two sets of ideas might fit together and we try to make this identification rigorous.

*This is joint work with Felix Finster.*

T-Orthogonal trapping in stationary black hole spacetimes with positive surface gravity. This is a technical requirement for one possible approach to a proof of Kerr uniqueness. (aka the statement that the Kerr family represents all possible asymptotically flat stationary solutions to the Einstein Field Equations). This problem seems to become my eternal enemy. All the approaches I have to this point fall short just one step from an interesting statement.

*I have discussed various approaches but no specific project materialized at this point in time. *

Because I have way more ideas then time and skill to work them out I decided to set up a separate section on my page here for my brainfarts and conjectures.