Noncommutative geometry and the standard model, A. Connes; representations of quantum affine algebras and holonomic difference equations, I. Frenkel and N. Yu Reshetikhin; some lessons from matrix models, D. Gross; conformal and quasi-conformal structures in space-time, F. Gursey; commuting transfer matrices in knot theory, V.F.R. Jones; physics and mathematics of strings, A.M. Polyakov; representations of quantum affine algebras and holonomic difference equations, N. Yu Reschetikhin and I. Frenkel; the states in 2D gravity, N. Seiberg; pertubative Chern-Simons theory, I.M. Singer and S. Axelrod; homology of local systems and quantum groups, A. Varchenko; string propagation in black hole geometry, E. Verlinde; relationships between models of two-dimensional gravity, E. Witten.