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Publications
A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing (with Piotr T. Chruściel and Andrea Nützi), Classical and Quantum Gravity (2025)
Uniqueness of equipotential photon surfaces in 4-dimensional static vacuum asymptotically flat spacetimes for positive, negative, and zero mass - and a new proof of the Willmore inequality (with Carla Cederbaum and Axel Fehrenbach), Journal of Mathematical Physics (2025)
Black Hole and Equipotential Photon Surface Uniqueness in 4-dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes (with Stefano Borghini and Carla Cederbaum), Annales Henri Poincaré (2024)
Maximal hypersurfaces and other nonlinear geometric problems, Dissertation, Universitätsbibliothek Tübingen (2025)
Preprints
Conformal Green functions and Yamabe metrics of Sobolev regularity (with Rodrigo Avalos and Andoni Royo Abrego), arXiv:2507.01674
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), arXiv:2403.14422
Rotational symmetry of ancient solutions to fully nonlinear curvature flows (with Stephen Lynch and Olivia Vičánek Martínez), arXiv:2310.08301
Sobolev conformal structures on closed 3-manifolds (with Rodrigo Avalos and Andoni Royo Abrego), in preparation.
Selected Talks
"Sobolev conformal structures on closed 3-manifolds"
Leeds Geometry and Analysis Seminar (November 2025), University of Leeds (UK)
UCPH Geometry Seminar (June 2025), University of Copenhagen (Denmark)
Stanford Geometry Seminar (October 2024), Stanford University (USA)
The Pisan Workshop Saga (September 2024), Università di Pisa (Italy)
"Maximal surfaces and boosts in the Schwarzschild spacetime"
AMS Special Session --New Approaches to Mathematical General Relativity-- (October 2025), Virtual Meeting
MFO Workshop --Mathematical Aspects of General Relativity-- (August 2024), Mathematisches Forschungsinstitut Oberwolfach (Germany)
"On ancient solutions to Fully Nonlinear Curvature Flows"
ANGEL Meeting (May 2024), Universität Ulm (Germany)
Vienna Geometric Analysis Seminar (November 2023), Universität Wien (Austria)
Rocky Mountains Mathematical Physics Seminar (April 2024), University of Colorado Boulder (USA) | Video |
13th Central European Relativity Seminar (April 2023), KTH Stockholm (Sweden)
Interdisciplinary Jr Scientists Workshop: Mathematical General Relativity (February 2023), Wildberg (Germany)
"Maximal Surfaces over exterior domains and approximation of Null Hypersurfaces"
Workshop: Mass, the Einstein Constraint Equations and the Penrose inequality Conjecture (September 2023), Simons Center for Geometry and Physics, New York (USA)
Geometric Analysis, Differential Geometry and Relativity Seminar (February 2023), Institut für Mathematik Universität Potsdam and Universität Tübingen (Germany)
"Introduction to Mean Curvature Flow"
BIGW: Geometric Flows and related topics (July 2023), Inverness (UK).
"On Maximal Surfaces in Minkowski and asymptotically flat spacetimes"
Minicourse (August 2022), Universitade Federal de Goiàs, Goiania (Brasil).
"Uniqueness of Equipotential Photon Surfaces in Electrovacuum"
UFC Geometric Analysis Seminar (September 2022) Universitade Federal do Cearà, Fortaleza (Brasil)
UnB Geometry Seminar (August 2022) Universitade de Brasilia, Brasilia (Brasil)
EWM-EMS Summer School “The Cauchy Problem in General Relativity” (June 2022) Mittag-Leffer Institut, Stockholm (Sweden) | Video |
12th Central European Relativity Seminar (February 2022) Hungarian Academy of Science, Budapest (Hungary)
"Uniqueness of Photon Spheres in Geometrostatic Spacetimes via Potential Theory"
11th Central European Relativity Seminar (February 2021), online. | Video |
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