Gravitational wave physics
- White dwarf binaries in globular clusters
- Tidal effects in inspiralling double white dwarfs
- Formation and evolution of compact object binaries
- White dwarf, neutron star, and black hole binaries in the LISA band
Evolution of single and binary stars
- Formation of white dwarfs, neutron stars, and black holes
- Orbital dynamics due to mass transfer in eccentric binaries
- Binary evolution due to circumbinary disks
Binary population synthesis
- White dwarf binaries
- Double neutron stars
- X-ray binaries
- Binary millisecond pulsars
- Cataclysmic variables
- Eclipsing binaries
Dynamic tides and stellar oscillations in close binaries
- Excitation of oscillations by resonant tidal interactions
- Orbital dynamics due to resonant and non-resonant tidal interactions
- Asymptotic representation of free and forced oscillations
- Observational identification of tidally excited oscillation modes
Mathematics
- Asymptotic approximations of Sturm-Liouville type differential equations
- Analytical and numerical solution of ordinary and singular differential equations
- Multiple-scale expansion techniques
- Singular perturbation problems