gravitational wave data analysis
Collaboration with:
Matias Zaldarriaga - IAS princeton
Tejaswi Venumadhav - UCSB
Searching for binary black holes
Exact signal processing -
Methods for exact determination of statistical significance
Coping with changing statistical models
Robust statistics
Bayesian parameter estimation
Searching for gamma-ray bursts (GRBs)
Collaboration with:
Tsevi Mazeh - Tel Aviv University
High contrast imaging - Developing a novel method for directly imaging planets by using precision waveform estimation and exact statistics.
Detecting transiting planets -
Improving the search for transiting planets in all regimes (long-periods, short-periods) and around binary stars.
Binary planets and exo-moons
Exact population modeling of exoplanets.
Precision photometry - using advanced statistical methods for cancelling systematic noise in ground and space based precision photometry campaigns.
Collaboration with:
Thomas Prince - Caltech
Victoria Kaspi - McGill university
Searching for pulsars near the black hole in the galactic center
Searching for pulsars in relativistic binary systems
Lattice algorithms for solving the timing problem
Searching the micro-second radio sky for fast radio bursts
Solving the periodicity of gamma-ray pulsars and FRBs using the lattice algorithms