Nonperturbative Quantum Field Theory

Lectures Operator Methods in String Theory.- On the Fixed Point Formula and the Rigidity Theorem of Witten.- Non-Commutative Geometry.- Statistics of Fields,the Yang Baxter Equation And the Theory of Knots and Links.- Topological Actions in Two-Dimensional Quantum Field Theories.- Issues in Superstring Theory.- Lectures on Heterotic Strings and Orbifold Compactifications.- Quantum Gravity and Black Holes.- Supersymmetric quantum Fields and Infinite Dimensional Analysis.- Solution of the Lattice ?4Theory in 4 Dimensions.- Multigrid Methods in Quantum Field Theory.- to Conformal Invariant Quantum Field Theory in Two or More Dimensions.- Continuous Wilson Renormalization Group And the 2-D 0(n) Non-linear a-Model.- Numerical Simulations:Old and New Problems.- The Role of Locality in String Quantization.- SEMINARS On the BRST Structure of the Closed String And Superstring Theory.- The A-D-E Classification of Conformal Invariant Field Theories in Two Dimensions.- The Break down of Dimensional Reduction.- Vanishing Vacuum Energies for Nonsupersymmetric Strings.- Torsion Constraints and Super RiemannS urfaces.- Renormalization Theory for Use in Convergent Expansions of Euclidean Quantum Field Theory.- Power Counting and Renormalization in Lattice Field Theory.- Open Strings and their Symmetry Groups.- New Methods and Results in Conformal QFT2 and the String Idea.- On V. Pasquier A-D-E Models.- Generalization of the Sugawara Construction.- Conformal Field Theory at c=1.- Geometric realization of Conformal Field Theory on Riemann Surfaces.