Complex Billiard Hamiltonian Systems and Nonlinear Waves -- Automorphic Pseudodifferential Operators -- On ?-Functions of Zakharov-Shabat and Other Matrix Hierarchies of Integrable Equations -- On the Hamiltonian Representation of the Associativity Equations -- A Plethora of Integrable Bi-Hamiltonian Equations -- Hamiltonian Structures in Stationary Manifold Coordinates -- Compatibility in Abstract Algebraic Structures -- A Theorem of Bochner, Revisited -- Obstacles to Asymptotic Integrability -- Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0 -- Trace Formulas and the Canonical 1-Form -- On Some โ{128}{156}Schwarzianโ{128}{157} Equations and their Discrete Analogues -- Poisson Brackets for Integrable Lattice Systems -- On the r-Matrix Structure of the Neumann Systems and its Discretizations -- Multiscale Expansions, Symmetries and the Nonlinear Schrรถdinger Hierarchy -- On a Laplace Sequence of Nonlinear Integrable Ernst-Type Equations -- Classical and Quantum Nonultralocal Systems on the Lattice