Includes bibliographical references.

On the chiral WZNW phase space, exchange r-matrices and Poisson-Lie groupoids ; Loop groups, matrices and separation of variables ; The geometry of generalised Hitchin systems ; Determinant representation for form factors ; Isomonodromic deformations in genus zero and one: Algebro-geometric solutions and Schlesinger transformations ; Quantum inverse scattering problem and correlation functions of integrable models ; Multiseparability and superintegrability for classical and quantum systems ; Integrability and symmetry of the XXZ model ; Characteristic systems on Poisson Lie groups and their quantization ; Special functions associated with Calogero-Moser type quantum systems ; Backlund transformations and Baster's operator ; Universality of the distribution functions of random matrix theory