I am interested in the development and usage of mathematical and computational tools for the characterization and informed discovery of novel materials and structures, with a particular focus on first principles (i.e., quantum mechanical) methods. I have been working on extending the scope and capabilities of such methods, for applications to problems in mechanics (such as the modeling of defects), and energy storage / conversion technologies. My other research interests include the analysis and development of multiscale methods; the usage of symmetry principles in various areas of science and engineering (including problems related to materials discovery, molecular self-assembly, wave-propagation, and the design of computational solvers); as well as numerical analysis and scientific computation.
