We are involved in research that employs theory, simulation, and experiment in areas from nanotechnology and energy to four-dimensional microscopy. We are developing descriptions of semiconductor nanowire growth using both phase field simulations and theory. Our effort on solid oxide fuel cell materials is focused on the formation of nanocatalysts on the solid-vapor surfaces, the effects of stress on the defect structure and composition of the oxides, and the three-dimensional structure of the voids and phases in anodes and cathodes. We are examining the dynamics of grain growth in materials using phase field simulations and time-dependent x-ray tomography. We have performed experiments on the coarsening of solid-liquid mixtures on the International Space Station. The analysis of the samples is continuing. Finally, we are using both simulation and experiment to examine the evolution of morphologically complex two-phase mixtures.