RESEARCH
Most of my research concerns Mathematical General Relativity. I am also interested in related areas, such as hyperbolic
PDEs and Geometric Analysis.
Papers

Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range
a<M,
with Yakov ShlapentokhRothman:
 frequency space analysis, 133pp
 physical space analysis, 102pp

Oscillations in wave map systems and homogenization of the Einstein equations in symmetry,
with André Guerra, 28pp

Hidden spectral symmetries and mode stability of Kerr(dS) black holes,
with Marc Casals,
Communications in Mathematical Physics, 394, 797832 (2022)

Numerical evidence towards a positive answer to Morrey's problem,
with André Guerra,
Revista Matemática Iberoamericana, 38:2, 601614 (2022)

The Teukolsky–Starobinsky constants: facts and fictions,
with Marc Casals,
Classical and Quantum Gravity, 38:165016, 123 (2021)

Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes,
Communications in Mathematical Physics, 378:1, 705781 (2020)
Theses

Frequency space analysis in General Relativity, PhD thesis, University of Cambridge (2021)

The black hole stability problem, Part III essay, University of Cambridge (2017)
Conference talks
 MatemÃ¡ticos Portugueses pelo Mundo, University of Coimbra, 27 July 2023
 Invited talk in program "Spectral Theory and Mathematical Relativity", Erwin Schrödinger Institute, 1014 July 2023
 Women in Mathematical Relativity, online workshop, University of Leipzig, 14 April 2023
 Clay Workshop: Stability and Instability in General Relativity, University of Oxford, 29 September 2022
 New Frontiers in Strong Gravity, Centro de Ciencias de Benasque Pedro Pascual, 13 July 2022
 23rd International Conference on General Relativity and Gravitation, online, 7 July 2022
 Black Hole Initiative 2022 Conference, Harvard University, 20 May 2022
 At the interface of mathematical relativity and astrophysics, Banff International Research Station (online), 24 April 2022
 Contributed talk at XIV Black Holes Workshop, University of Aveiro, 20 December 2021
 New Trends in Geometric PDEs, University of Münster, 15 November 2021
 Invited talk in program "Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy," IPAM, University of California Los Angeles, 2529 October 2021
 Mathematical Aspects of General Relativity, Oberwolfach, 29 August 2021
 Young Researchers Symposium at the ICMP, online, 30 July 2021
 Portuguese Mathematical Society Anual Meeting, online, 13 July 2021
 Canadian Mathematical Society 75th Summer Meeting, online, 7 June 2021
 Oxbridge PDE conference, online, 20 April 2021
 Contributed talk at XIII Black Holes Workshop, Instituto Superior Técnico, 23 December 2020
 Talk in program "Advances in Computational Relativity – mathematical and computational approaches to the vacuum Einstein equations," ICERM, Brown University, 7 October 2020
 LMS Hyperbolic Network meeting, Loughborough University, 18 February 2020
 Invited talk in program "General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein," MittagLefler Institute, 12 December 2019
Seminars
 CENTRA / Mathematical Relativity seminar, Instituto Superior TÃ©cnico, 29 June 2023
 Gravity group seminar, University of Mississippi, online, 7 June 2023
 General Relativity seminar, University of Leipzig, 12 May 2023
 Departmental seminar, Max Planck Institute for Gravitational Physics, 10 May 2023
 PDE and Mathematical Physics seminar, ETH Zürich, 4 May 2023
 PDE/Analysis seminar, Massachusetts Institute of Technology, 7 March 2023
 Geometric Analysis seminar, University of Chicago, 7 February 2023
 Astrophysics, Gravitation, and Cosmology seminar, UIUC, 1 February 2023
 Gravity seminar, University of Nottingham, 27 January 2023
 Dispersive & Hyperbolic PDE seminar, Rutgers University, 1 December 2022
 Analysis & Mathematical Physics seminar, Institute for Advanced Study, 30 November 2022
 Physical Mathematics seminar, University of Geneva, 25 November 2022
 Noetherian Ring seminar, Princeton University, 28 October 2022
 London PDE seminar, Imperial College London, 7 October 2022
 Black Hole Initiative colloquium, Harvard University, 28 March 2022
 Gravity seminar, University of Southampton, 10 February 2022
 LAWPhysics webinar, online, 2 February 2022
 General Relativity & Geometric Analysis seminar, Columbia University, 10 December 2021
 General Relativity seminar, University of Cambridge, 22 October 2021
 Relativity seminar, University of Vienna, 21 October 2021
 Gravity Initiative seminar, Princeton University, 20 September 2021
 Analysis seminar, Princeton University, 13 September 2021
 Analysis & PDE seminar, University of California Berkeley, 26 April 2021
 Mathematical Physics Research Group seminar, Rutgers University, 11 March 2021
 Mathematical GR and Hyperbolic PDE seminar, online, 15 January 2021
 Analysis & PDE seminar, Stanford University, 2 October 2020
 C.A.K.E. seminar, University of Cambridge, 11 March 2020
 Junior Analysis seminar, Imperial College London, 31 January 2020
 General Relativity seminar, University of Cambridge, 17 January 2020
 Mathematical Relativity seminar, Instituto Superior Técnico, 3 January 2020
 Analysis Seminar, Princeton University, 23 September 2019