I have worked in a number of areas, including Complex Analysis, Continuum Mechanics, General Relativity, Numerical Analysis, Quantum Mechanics, Partial Differential Equations and Special Functions. For the past few years I have been principally concerned with systems of hyperbolic partial differential equations, especially those systems which are of particular physical interest--mostly the Einstein equations of General Relativity, but also the Euler equations of Fluid Mechanics and the equations governing Nonlinear Elasticity.

Excellent overviews of General Relativity, in varying levels of detail, are available from Muppet Labs and Living Reviews.

  1. Strichartz estimates for the Wave and Schrödinger Equations with Potentials of Critical Decay with N. Burq , F. Planchon , and A.S. Tahvildar-Zadeh , Indiana Journal of Mathematics, 2004
  2. Scalar waves on a naked-singularity background with A.S. Tahvildar-Zadeh , Classical and Quantum Gravity, 2004
  3. Strichartz estimates for the Wave and Schrödinger Equations with the Inverse-Square Potential , with N. Burq , F. Planchon , and A.S. Tahvildar-Zadeh , Journal of Functional Analysis, 2003
  4. Dispersive estimate for the wave equation with the inverse-square potential , with F. Planchon , and A.S. Tahvildar-Zadeh , Discrete and Continuous Dynamical Systems, 2003
  5. Lp estimates for the wave equation with the inverse-square potential , with F. Planchon , and A.S. Tahvildar-Zadeh , Discrete and Continuous Dynamical Systems, 2003
  6. On Hubbell's rectangular source integral , Radiation Physics and Chemistry, 2001
  7. An essentially singular classical limit , Advances in Mathematics, 1999
  8. Singular perturbation series in quantum mechanics , Advances in Mathematics, 1999
  9. A convergence speeding algorithm with applications to numerical integration , Advances in Applied Mathematics, 1999
  10. Complex Analysis, Fundamentals of the Classical Theory of Functions , Birkhäuser, 1998
  11. Automorphic functions on general domains in Cn , Duke Mathematics Journal, 1996
  12. Hölder and Lp Estimates for ðb on Domains of Finite Type , Doctoral Thesis, Princeton University 1993