Expository Articles. - Overdetermined Systems Conformal Differential Geometry and the BGG Complex. - Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations. - Notes on Projective Differential Geometry. - Ambient Metric Construction of CR Invariant Differential Operators. - Fine Structure for Second Order Superintegrable Systems. - Differential Geometry of Submanifolds of Projective Space. - Pseudo-Groups Moving Frames and Differential Invariants. - Geometry of Linear Differential Systems Towards Contact Geometry of Second Order. - Research Article. - On Geometric Properties of Joint Invariants of Killing Tensors. - Hamiltonian Curve Flows in lie Groups G ? U(N) and Vector Nls mKdV Sine-Gordon Soliton Equations. - Conformal Killing Spinors and the Holonomy Problem in Lorentzian Geometry A Survey of New Results. - Projective-Type Differential Invariants for Curves and Their Associated Pdes of Kdv Type. - Algebraic Construction of the Quadratic First Integrals for a Special Class of Orthogonal Separable Systems. - Geometry of Non-Regular Separation. - Higher Symmetries of the Square of the Laplacian. - Metric Connections in Projective Differential Geometry. - Exterior Differential Systems with Symmetry. - Partially Invariant Solutions to Ideal Magnetohydrodynamics. - Invariant Prolongation and Detour Complexes. - Inhomogeneous Ambient Metrics. - Pfaffian Systems Of Frobenius Type And Solvability Of Generic Overdetermined Pde Systems. - Exact And Quasi Exact Solvability of Second Order Superintegrable Quantum Systems. - A Remark On Unitary Conformal Holonomy. - Polynomial Associative Algebras for Quantum Superintegrable Systems with a Third Order Integral of Motion. - Separation of Variables for Systems of First-Order Partial Differential Equations andthe Dirac Equation in Two-Dimensional Manifolds. - Differential Systems Associated with Tableaux over Lie Algebras. - Conformal Structures with Explicit Ambient Metrics and Conformal G 2 Holonomy. - Deformations of Quadratic Algebras the Joseph Ideal for Classical Lie Algebras and Special Tensors. - Analogues of the Dolbeault Complex and the Separation of Variables. Language: English