"This project is centred in Singularity Theory and its interactions and applications to Complex and Algebraic Geometry, Differential/symplectic/Contact Topology, Hodge Theory and Algebraic Topology. This subject is still at the core of various developments (Mori's Theory, Symplectic and Contact Geometry, algebro-geometric Donaldson-Thomas Theory, Hodge Theory and D-modules,...) In the present proj ...