Abstract
Recent developments of the nuclear shell model are presented. The magic numbers are the key concept of the shell model, and are shown to be different in exotic nuclei from those of stable nuclei. Their novel origin and robustness will be discussed. By the Monte Carlo Shell Model (MCSM), the structure of low-lying states can be studied with realistic interactions for a wide variety of nuclei. Some examples are discussed in connection to the triaxial deformation and a narrow shell gap at N = 20 for Z smaller.
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