Trieste Conference on Topological Methods in Quantum Field Theories, ICTP, Trieste, Italy, 11-15 June 1990

Magnetic Monopoles and the Yang-Baxter Equations -- Introduction to Cohomological Field Theories -- Topological Quantum Field Theories and Gauge Invariance in Stochastic Quantization -- On the Algebraic Structure of Quantum Gravity in Two Dimensions -- Strings in Critical Dimensions -- A Proof of Modular Invariance -- On E. Verlinde's Formula in the Context of Stable Bundles -- The Geometry of the KdV Equation -- Universal W-Algebras in Quantum Field Theory -- Properties of Covariant W-Gravity -- Intuitive Understanding of Anomalies - A Paradox with Regularization.