Approximate Parametrisation of Confidence Sets -- Challenges in Surface-Surface Intersections -- Computing the Topology of Three-Dimensional Algebraic Curves -- Distance Properties of ?-Points on Algebraic Curves -- Distance Separation Measures Between Parametric Curves and Surfaces Toward Intersection and Collision Detection Applications -- Elementary Theory of Del Pezzo Surfaces -- The Geometry of the Tangent Developable -- Numerical and Algebraic Properties of Bernstein Basis Resultant Matrices -- Polynomial C2 Spline Surfaces Guided by Rational Multisided Patches -- A Recursive Taylor Method for Algebraic Curves and Surfaces -- Self-Intersection Problems and Approximate Implicitization -- Singularities of Some Projective Rational Surfaces -- On the Shape Effect of a Control Point: Experimenting with NURBS Surfaces -- Third Order Invariants of Surfaces -- Universal Rational Parametrizations and Spline Curves on Toric Surfaces -- Panel Discussion.