Listed below are the projects I have finished during my Ph.D study: 1. Quantum Scattering theory (high dimension PDE) 2. Stochastic Processes of Protein Folding(Markov chain Monte Carlo) 3. Parameterization of charge model and energy calibration(non_linear/linear optimization. such as 2-D least square fit) 4. Option price(graduate course project, Priced European options(call/put) with Monte Carlo path generation method.