New Developments in Singularity Theory

A: Singularities of real maps.- Classifications in Singularity Theory and Their Applications.- Applications of Flag Contact Singularities.- On Stokes Sets.- Resolutions of discriminants and topology of their complements.- Classifying Spaces of Singularities and Thorn Polynomials.- Singularities and Noncommutative Geometry.- B: Singular complex varietes.- The Geometry of Families of Singular Curves.- On the preparation theorem for subanalytic functions.- Computing Hodge-theoretic invariants of singularities.- Frobenius manifolds and variance of the spectral numbers.- Monodromy and Hodge Theory of Regular Functions.- Bifurcations and topology of meromorphic germs.- Unitary reflection groups and automorphisms of simple, hypersurface singularities.- Simple Singularities and Complex Reflections.- C: Singularities of holomorphic maps.- Discriminants, vector fields and singular hypersurfaces.- The theory of integral closure of ideals and modules: Applications and new developments.- Nonlinear Sections of Nonisolated Complete Intersections.- The Vanishing Topology of Non Isolated Singularities.