Research Interests: Theoretical Cosmology, Astrophysics & Gravitation
Large scale structure
cosmic web, matter and halo correlation functions, redshift space distortions
Dark matter dynamics and self-gravitating systems
perturbation theory, spherical collapse, semiclassical methods for classical dynamics, Vlasov-Poisson and Schrödinger-Poisson equations
Collapse in 1+1dimensional phase space showing the transition from a flat phase space sheet to a bound dark matter structure modelled by solving the Schrödinger-Poisson equation (blue contours) and the Zeldovich approximation (red dashed line) Time-evolution of a wave function solving the free Schrödinger equation in 1D. This is a semiclassical analogue of the Zeldovich approximation. Shell-crossing forms multiple streams that manifest as interference patterns.
Large Deviation Statistics
theory of large deviations from statistical mechanics and it’s application in cosmology
Cosmological Perturbation Theory
stability analysis, primordial anisotropy
Gravitational Singularities
BKL conjecture, mixmaster universe