Most of my publications are concerned with the hyperboloidal method, which is a technique to follow light to infinity using suitable coordinates for numerical computations. Originally motivated by gravitational waves, explorations of this technique led me to many other topics such as black hole perturbation theory, numerical methods, and PDE analysis.


  • Devised a practical method that solves the outer boundary problem and the radiation extraction problem in numerical calculations of wave equations [1].
  • Introduced horizon-penetrating, hyperboloidal coordinates in black-hole perturbation theory [2], [3] and performed the first numerical computations with such coordinates [4], [5], [6].
  • Computed the first global approximation of a black hole Green function in time domain (with Chad Galley) [7]. We explained the shape of caustic echoes from black holes by an optical effect discovered in 1890.
  • Computed the first gravitational waves at null infinity on the background of a rotating black hole (with Gaurav Khanna). We demonstrated an efficiency gain of at least 5000 in one simulation [8].
  • Contributed to the Simulating-eXtreme-Spacetimes Collaboration. Two papers from that collaboration [9], [10] have been cited by the first detection of gravitational waves that led to the 2017 Nobel Prize in Physics.

See also Google Scholar and the Astrophysics Data System.

Template banks for binary black hole searches with numerical relativity waveforms
Stability of nonspinning effective-one-body model in approximating two-body dynamics and gravitational-wave emission
Self-force via Green functions and worldline integration
Intermediate behavior of Kerr tails
Effective-one-body model for black-hole binaries with generic mass ratios and spins
Catalog of 174 binary black hole simulations for gravitational wave astronomy
Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
Intermediate behavior of Kerr Black Hole tails
Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
Spacelike matching to null infinity
Hyperboloidal data and evolution