The topics are
Mathematical modeling of materials, interfaces and devices:
semiconductor nanostructures, and novel material systems — embedding of fine scale models into semi-classical approaches — kinetic models for semiconductor composites with complex fine structure — bulk-interface coupling — multiphysics modeling — semiconductor-electrolyte composites including transport processes across interfaces
Contour integrals for matrix problems in quantum mechanics:
numerical schemes — 'FEAST' software tutorial, applications in electronic structure calculations, density functional theory
Mathematical tools for generalized Nernst--Planck--Poisson systems and semiconductor device models:
thermodynamic consistency — existence, uniqueness, regularity, and asymptotics — asymptotic methods and model reduction — analytic and numerical treatment of non-Boltzmann statistics, ion volume effects, degenerate diffusion and disordered materials.