Preface; Invited Lectures; List of Participants; Contents; On Some Conjectures About Free and Nearly Free Divisors; 1 Introduction; 2 Free and Nearly Free Plane Curves After Dimca and Sticlaru; 2.1 Free Plane Curves; 2.2 Nearly Free Plane Curves; 2.3 Characterization of Free and Nearly Free Reduced Plane Curves; 3 High-Genus Curves Which Are Free or Nearly Free Divisors; 3.1 Transformations of Curves by Kummer Covers; 3.2 Irreducible Free Curves with Many Branches and High Genus; 3.3 Irreducible Nearly Free Curves with Many Branches and High Genus

3.4 Positive Genus Nearly Free Curves with Many Singularities4 Pencil Associated to Unicuspidal Rational Plane Curves; References; A Classification Algorithm for Complex Singularities of Corank and Modality up to Two; 1 Introduction; 2 Definitions and Preliminary Results; 3 A Classification Algorithm for Corank 2 Complex Simple, Unimodal, and Bimodal Singularities; 4 A Classification Algorithm for Corank 2, Bimodal Singularities with Degenerate Newton Boundary; References; Linear Resolutions of Powers and Products; 1 Introduction; 2 Partial Regularity; 3 The Multi-Rees Algebra