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Department of Pure Mathematics and Mathematical Statistics

 

Career

  • Sep 2024-present: Assistant Professor, DPMMS, and College Lecturer, Newnham College
  • 2021-2024: NSF and Princeton Gravity Initiative Fellow, Princeton University
  • 2021-2024: Junior Research Fellow, Trinity College

 

Research interests

Most of my research concerns Mathematical General Relativity, with a particular focus on black holes. I am also interested in related areas, such as hyperbolic PDEs and Geometric Analysis. 

Publications

Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|
Y Shlapentokh-Rothman, RTD Costa
(2023)
Hidden Spectral Symmetries and Mode Stability of Subextremal Kerr(-de Sitter) Black Holes
M Casals, R Teixeira da Costa
– Communications in Mathematical Physics
(2022)
394,
797
Frequency space analysis in General Relativity
R Teixeira da Costa
(2021)
The Teukolsky--Starobinsky constants: facts and fictions
M Casals, R Teixeira Da Costa
– Classical and Quantum Gravity
(2021)
38,
165016
Oscillations in wave map systems and homogenization of the Einstein equations in symmetry
A Guerra, RTD Costa
(2021)
Numerical evidence towards a positive answer to Morrey’s problem
A Guerra, R Teixeira da Costa
– Revista Matematica Iberoamericana
(2021)
38,
601
Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|
Y Shlapentokh-Rothman, RTD Costa
(2020)
Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes
R Teixeira da Costa
– Communications in Mathematical Physics
(2020)
378,
705