Publications & Preprints

Publications

1. Black Hole and Equipotential Photon Surface Uniqueness in Four-Dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes.
   With Stefano Borghini and Carla Cederbaum.
   Annales Henri Poincaré 26, 3963–4019 (2025) Journal · arXiv
2. A Bogovskiǐ-type operator for Corvino–Schoen hyperbolic gluing.
   With Piotr T. Chruściel and Andrea Nützi.
   Classical and Quantum Gravity 42, Number 14 (2025) Journal · arXiv
3. Uniqueness of equipotential photon surfaces in 4-dimensional static vacuum asymptotically flat spacetimes for positive, negative, and zero mass—And a new partial proof of the Willmore inequality.
   With Carla Cederbaum and Axel Fehrenbach.
   Journal of Mathematical Physics 66 (2025) Journal · arXiv

Preprints

1. Entire boosted hypersurfaces of vanishing mean curvature in Schwarzschild.
   Single-author, in preparation (based on PhD Thesis).
2. Regularity of conformal structures on closed 3-manifolds.
   With Rodrigo Avalos and Andoni Royo Abrego (2025) arXiv
3. Conformal Green functions and Yamabe metrics of Sobolev regularity.
   With Rodrigo Avalos and Andoni Royo Abrego (2025) arXiv
4. Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in n+1 dimensions à la Robinson.
   With Carla Cederbaum, Benedito Leandro and João Paulo dos Santos (2024) arXiv
5. Rotational symmetry of ancient solutions to fully nonlinear curvature flows.
   With Stephen Lynch and Olivia Vičánek Martínez (2023) arXiv

PhD Thesis

Maximal hypersurfaces and other nonlinear geometric problems.
Universität Tübingen, Mathematisch-Naturwissenschaftliche Fakultät (2025) URL