Think deeply of simple things.

*Carl F. Gauss*

(*motto of the Ross Mathematics Program*)

Research Interests

My research interests include a broad range of topics in all aspects of gravitational physics - classical and quantum.

The focus is largely on physical processes that can provide a key to a better understanding
of the essential and non-essential features of any candidate framework of quantum gravity, as well as a clear distinction between the two.
Moreover, the same physical processes can be useful to analyse the (semi-)classical implications of any such framework. I may broadly categorise them as:

(

- Mesoscopic domain of quantum spacetime
- Gravitational quantum physics
- Semiclassical Gravity and Black Hole physics
- Statistical mechanics in curved spacetime
- Other research interests

*There are, of course, inter-connections across these topics, and a common thread runs through these
research themes. I have emphasized these in my Talks, and the figure below provides a concise summary.
To understand it better, I suggest you go through my published work!*

Mesoscopic domain of quantum spacetime

- Synge's World function and the architecture of space(time); spacetime geometry from correlators.
- Cosmological constant as a relic of microscopic structure of spacetime.
- Black hole and cosmological singularities.
- Euclidean gravity and small scale structure of spacetime.

Gravitational quantum physics

- Classical and quantum probes of quantum fluctuations in curved spacetime.
- Decoherence in curved spacetime.
- Generalised uncertainty principle on curved spaces.

Semiclassical Gravity and Black Hole physics

- Horizon thermodynamics in higher derivative gravitational theories.
- UV behavior of Hawking radiation.
- Quantum fluctuations and the Fluctuation-Dissipation theorem.

Statistical mechanics in curved spacetime

- Thermal entropy in curved spacetime and generalised second law.
- Statistical mechanics of self-gravitating systems with horizons.

Other research interests

- Geometric aspects of vacuum fluctuations and correlations.
- Information theoretic aspects of quantum gravity.
- Small scale topology of Lorentzian manifolds.