This paper describes a number of published and unpublished works of Henri Poincare that await continuation by the next generations of mathematicians: works on celestial mechanics. on topology, on the theory of chaos and dynamical systems, and on homology, intersections and links. Also discussed are the history of the theory of relativity and the theory of generalized functions (distributions) and the connection between the Poincare conjecture and the theory of knot invariants.