My research focuses on mathematical and numerical modeling of dynamic geophysical and geochemical systems, including: Grain-scale dynamics of unconsolidated sediment and fault gouge; Discrete element method for modeling granular materials; Pressure solution; Fluid flow through porous media; Mantle convection and crustal generation beneath spreading centers, subduction zones, intraplate volcanoes; Physics and chemistry of mantle partial melting and melt migration; and Thermal and differentiation history of icy solar system bodies.