The C.I.M.E. session on Mathematical Problems in Semiconductor Physics, held in Cetraro (Italy) July 15-22, 1998 addressed researchers with a strong interest in the mathematical aspects of the theory of carrier transport in semiconductor devices. The covered subjects include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.