ABOUT ME
RESEARCH
CURRICULUM
TEACHING

ABOUT ME

Welcome to my webpage! I'm a 2nd year math PhD student at the University of Cambridge under the supervision of Professor Mihalis Dafermos, in the Cambridge Center for Analysis.

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.


RESEARCH

My research is focused on the Kerr family of black holes, a two-parameter family of rotating axisymmetric black holes that solves the vacuum Einstein equations.

Research papers
  • Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes
Talks and seminars

CURRICULUM VITAE

Education
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)
Visits
Fall 2018   Princeton University (USA), invited by Mihalis Dafermos.
Fall 2019 Princeton University (USA), invited by Yakov Shlapentokh-Rothman.
Awards
2017 – 2021 Research Scholar 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)

TEACHING

Lent 2020 Part III Black Holes (example classes)
Lent 2019 Part II Differential Geometry (supervisor at Queens, Pembroke and Homerton colleges)