Supersymmetry and Integrable Models

Constrained KP hierarchy as a ratio of differential operators.- Infinite dimensional symmetries in massive integrable models.- On the whitham equations and (X, ?) duality.- Poisson brackets for densities of functionals.- Hamiltonian dynamics, classical R-matrices and isomonodromic deformations.- Integrable systems with singular rational spectral varieties.- Lectures on the asymptotic expansion of a Hermitian matrix integral.- Solitons and generalized tau-functions for affine integrable hierarchies.- Constrained and rational reductions of the KP hierarchy.- Matrix membranes and integrability.- Vertex operators and solitons of constrained KP hierarchies.- Zero curvature formalism in superspace.- N=2 KdV hierarchies and classical r-matrix.- Reduction of self-dual Yang-Mills systems and super nonlinear Schrödinger equations.- Darboux transformations for SUSY integrable systems.- Susy hierarchies and affine Lie algebras.- A semiclassical approach to level crossing in supersymmetric quantum mechanics.- One-dimensional disordered supersymmetric quantum mechanics: A brief survey.- Zero modes and self-isospectral potentials in periodic supersymmetric quantum mechanics.- Shape invariance and its connection to potential algebra.- Supersymmetry in quantum mechanical models: a quantum hamilton-jacobi approach.- Quantum-mechanical supersymmetry in traps.- Cyclic shape invariant potentials.