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 Shlapentokh-Rothman:
  • 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, 797-832 (2022)
• Numerical evidence towards a positive answer to Morrey's problem, with André Guerra,
  Revista Matemática Iberoamericana, 38:2, 601-614 (2022)
• The Teukolsky–Starobinsky constants: facts and fictions, with Marc Casals,
  Classical and Quantum Gravity, 38:165016, 1-23 (2021)
• Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes, Communications in Mathematical Physics, 378:1, 705-781 (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

• Matemáticos Portugueses pelo Mundo, University of Coimbra, 27 July 2023
• Invited talk in program "Spectral Theory and Mathematical Relativity", Erwin Schrödinger Institute, 10-14 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, 1-5 November 2021
• Invited talk in program "Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy," IPAM, University of California Los Angeles, 25-29 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," Mittag-Lefler Institute, 12 December 2019

Seminars

• CENTRA / Mathematical Relativity seminar, Instituto Superior Técnico, 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