Einstein's evolution equation for the vacuum formulated on a space of differentials of immersions -- Nonlinear sigma models on symmetric spaces -- Linearized non-abelian gauge quantum field theories -- Nonlinear wave equations -- The twistor-geometric representation of classical field theories -- Quantum kinematics on smooth manifolds -- On geometric quantization -- The frobenius reciprocity theorem from a symplectic point of view -- Quantization of models of quantum field theory with solitons -- Determination of a polarization by nonlinear scattering, and examples of the resulting quantization -- Constraints and quantization.