Research

Research interests

  • General relativity
    Global methods for the Einstein equations, hyperboloidal evolution, axisymmetric spacetimes, cosmic censorship, critical phenomena in gravitational collapse, black hole stability, well-posed formulations of the Einstein equations, boundary conditions
  • Scientific computing
    Finite-difference, pseudo-spectral and finite-volume methods, numerical treatment of polar coordinate singularities, multigrid methods for elliptic equations, adaptive mesh refinement, mathematical software, programming in Python
  • Partial differential equations
    Initial-boundary value problems, absorbing boundary conditions, geometric evolution equations