Computational Chemistry: mathematical and numerical methods for predicting molecular structure, stability, and properties; modeling chemical reactions and reaction pathways; design new materials, catalysts, or drugs.
Computational Physics: mathematical and computer methods in Elementary Particle and High Energy Physics, Symbolic manipulation systems, Feynman diagrams with differential equations, adaptive integration algorithms, Parton Shower algorithms, jet algorithms, Monte Carlo simulation of elementary particle collisions
Quantum Computing
Biophysics: biophysical models and Monte Carlo methods in Radiotherapy and Hadrotherapy