Rita Teixeira da Costa's Homepage

Welcome to my webpage! I'm a 4th year math PhD student at the University of Cambridge under the supervision of Professor Mihalis Dafermos, in the Cambridge Center for Analysis. I'm also Research Scholar at Trinity College.

I work on Mathematical General Relativity, but I am also interested in related areas, such as hyperbolic PDEs and Geometric Analysis.

You can reach me by email at rita.t.costa at dpmms.cam.ac.uk. You can also find me in D0.10 at the Center for Mathematical Sciences.

Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range
|a|<M: frequency space analysis, with Yakov Shlapentokh-Rothman
Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes,
Communications in Mathematical Physics, 378(1), 705-781
Numerical evidence towards a positive answer to Morrey's problem, with André Guerra,
to appear in Revista Matemática Iberoamericana

Invited talk during program "Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy," IPAM, University of California Los Angeles, October 2021.
Workshop "Mathematical Aspects of General Relativity," Oberwolfach, Summer 2021.
Canadian Mathematical Society 75th Summer Meeting, Ottawa, June 2021.
Mathematical GR and Hyperbolic PDE Seminar, online, 15 January 2021.
XIII Black Holes Workshop, Instituto Superior Técnico, 23 December 2020.
Talk at program "Advances in Computational Relativity," ICERM, Brown University, 7 October 2020.
Analysis & PDE seminar, Stanford University, 2 October 2020.
C.A.K.E. seminar, University of Cambridge, 11 March 2020.
LMS Hyperbolic Network meeting, Loughborough University, 18 February 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.
Invited talk at program "General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein," Mittag-Lefler Institute, 12 December 2019.
Analysis Seminar, Princeton University, 23 September 2019.

2017 – 2021	PhD in Mathematical Analysis at the University of Cambridge (UK)
2016 – 2017	Part III in Pure Mathematics at the University of Cambridge (UK)
2013 – 2016	BSc in Engineering Physics at Instituto Superior Técnico (Portugal)

Fall 2019	Princeton University (USA), invited by Yakov Shlapentokh-Rothman.
Fall 2018	Princeton University (USA), invited by Mihalis Dafermos.
Lent 2018	Microsoft Research Cambridge (UK), working with Neil Dalchau.
July 2017	Sainsbury Laboratory Cambridge (UK), working in the Jones group.

2017 – 2021	Research Scholarship at Trinity College (UK) & EPSRC PhD Scholarship (UK)
2016 – 2017	Trinity Studentship in Mathematics, Trinity College (UK)
2015 – 2016	Scholarship New Talents in Mathematics, Fundação Calouste Gulbenkian (Portugal)
2014 – 2016	Academic Merit Scholarship, Fundação Eugénio de Almeida (Portugal)
2012	2nd Place at the Portuguese Physics Olympiads

Lent 2020	Part III Black Holes (example classes)
Lent 2020	Part II Analysis of Functions (supervisor at St Edmund, Girton and Homerton colleges)
Lent 2019	Part II Differential Geometry (supervisor at Homerton, Pembroke and Queens colleges)