Professor Emeritus | Research Professor (recall appointment 2024 →)
UCLA department of Mathematics
My work is a combination of applied mathematics, numerical analysis and scientific computing. The focus of my current research is the development of algorithms and the software infrastructure necessary for the construction of multi-physics simulations useful for the exploration and design of silicon based quantum devices as well as general investigations of quantum physics problems where wave-function (PDE solutions of the N-particle Schrödinger equation) based approaches are applicable.
I am the principle developer of the MaSQE (Modeling and Simulation for Quantum Exploration) software components, and the creator of a collection of MaSQE FCI programs as well as the creator of the MaSQE Multi-domain/Multi-model (MDMM) programs that have been assembled from these components.
All of the research work is done in close collaboration with experimental and theoretical physicists and engineers. Their role has been, and continues to be, to identify the collection of problems that are of interest to their research efforts and whose solutions cannot be easily obtained using existing simulation tools (or fabricated using AI code generators). In addition, my collaborators, by using the MaSQE simulations, provide the invaluable feedback necessary for the refinements of existing algorithms and/or the motivation for developing new algorithms for use by those developing and using simulations for the exploration of quantum phenomena.