Global Geometry and Mathematical Physics : Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme Italy July 4–12 1988 The geometry and topology of moduli spaces Topics in conformal field theory and string theory Geometrical aspects of the Kadomtsev Petviashvili equation Geometry of standard constraints and anomalous supersymmetric gauge theories Hamiltonian formulation of string theory and multiloop amplitudes in the operator context Conformal field theory real weight differentials and KdV equation in higher genus Supermoduli and superstrings.