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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
Sobolev conformal structures on closed 3-manifolds (with Rodrigo Avalos and Andoni Royo Abrego), arXiv:2511.00178.
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
Selected Talks
"Sobolev conformal structures on closed 3-manifolds" based on Preprints [1, 2]
Seminari -- Dipartimento di Matematica Tullio Levi Civita (February 2026), University of Padova (Italy)
BIRS Workshop -- Connections among Spin Geometry, Minimal Surfaces and Relativity (January 2026), Chennai Mathematical Institute (India)
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)
"A solution operator for the linearized constant scalar curvature equation at the hyperbolic space" based on Publications [1]
IECL Differential Geometry Seminar (March 2026), Institute Elie Cartan de Lorraine, Nancy (France)
"Maximal surfaces and boosts in the Schwarzschild spacetime" based on Publications [4]
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" based on Preprints [4]
ANGEL Meeting (May 2024), Universität Ulm (Germany)
Vienna Geometric Analysis Seminar (November 2023), Universität Wien (Austria)
"Uniqueness of black holes and equipotential photon surfaces in (n+1)-dimensional static vacuum spacetimes via Robinson’s approach" based on Preprints [3]
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)
"Uniqueness of Equipotential Photon Surfaces in Electrovacuum" based on Publications [3]
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" based on Publications [2]
11th Central European Relativity Seminar (February 2021), online. | Video |
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