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, supervised by Mihalis Dafermos, University of Cambridge (2021)
• The black hole stability problem, Part III essay, supervised by Mihalis Dafermos, University of Cambridge (2017)