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The primary focus of my research group is development of new theoretical and computational methods for studying complex molecules and nanoparticles using classical, semiclassical, and quantum mechanical methods. We are specifically interested in developing quantum mechanical methods for investigating electron-hole and exciton-phonon interactions in quantum dots. These methods are used for examining the effects of physical and chemical transformations including, shape, size, structural strain, core/shell heterojunction, surface ligands, and temperature on the optical properties of quantum dots. Application areas include quantum dots, light harvesting materials, carbon nanotubes, and biomolecules. The long-term goal is to achieve accurate description of the quantum mechanical processes in novel materials and biochemical systems at affordable computational cost.