I am a PhD student in mathematical relativity at the Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, supervised by Thomas Bäckdahl. I work on the stability of black-hole spacetimes.
Before coming to Chalmers I completed the BS‑MS programme at IISER Pune. My master’s thesis, carried out at the Max Planck Institute for Gravitational Physics (AEI) in Potsdam and at IUCAA in Pune, was on null infinity, the BMS group and gravitational memory, supervised by Sajad Aghapour and the late Naresh Dadhich.
This site collects my research, lecture notes and notes on mathematics, physics and philosophy.
Now
- Starting my PhD with Thomas Bäckdahl: first-year courses and the Kerr-stability literature
- Writing up the gravito-electromagnetic duality and gravitational spin Hall projects
- Working through the Newman–Penrose and GHP formalisms
Reading: Spinors and Space-Time, Vol. 1; The Large Scale Structure of Space-Time; General Relativity.
Recent notes and writing
- Connections, curvature & holonomyParallel transport around small loops and its relation to curvature.
- Some doodles and CartoonsDoodles and cartoons: academic life, according to cats, rabbits and all of that.
- A personal Anecdote with Prof. Naresh DadhichA memorable encounter with Prof. Naresh Dadhich that left a lasting impression on my journey in theoretical physics.
- A note on Birkhoff's theoremSpherically symmetric vacuum solutions are static; consequences for gravitational collapse.
Lecture notes
- Mathematical General RelativityLecture notes on the mathematical foundations of general relativity, from manifolds to the singularity theorems.
- Newman–Penrose and GHP formalismsTwo-component spinors, the Newman–Penrose and GHP formalisms, and the compacted GHP calculus.
- Black hole perturbation theoryThe Regge–Wheeler, Zerilli and Teukolsky equations and the linear stability of Schwarzschild and Kerr.