My research interests include a variety of topics in theoretical astrophysics, mathematical physics, and numerical analysis. Some particular topics of interest follow:
* Modeling the dynamical structure and radiative properties of the accretion columns that form over the magnetic poles in binary X-ray pulsars.
* Studying the production of relativistic outflows from the vicinity of black holes as a result of shock-driven particle acceleration occurring in the surrounding accretion disk.
* Analytical and numerical modeling of the trans-relativistic acceleration of cosmic rays and solar flare particles due to Fermi processes.
* Studies of time-dependent particle acceleration in astrophysical plasmas.