1. Using Gaussian stochastic rate model to understand memory effects in room temperature single molecule spectroscopy and to identify quantitative probes of the conformation fluctuations, such as two-event echoes, two-event number density, etc.
2. Developing semi-flexible Gaussian chain model and path integral Monte Carlo simulation to study static and dynamic disorders in single molecule FRET and fluorescence quenching measurements on biopolymers.
3. Formulate path integral quantum dynamics theory to investigate non-perturbative VER effects for vibrational lineshapes.