Singularities and computer algebra

Preface Invited lectures List of participants 1. Aspects of Gert-Martin Greuel's mathematical work C. Lossen and G. Pfister 2. Exterior algebra methods for the construction of rational surfaces in the projective fourspace H. Abo and F.-O. Schreyer 3. Superisolated surface singularities E. Artal Bartolo, I. Luengo and A. Melle Hernandez 4. Linear free divisors and quiver representations R.-O. Buchweitz and D. Mond 5. Derived categories of modules and coherent sheaves Y. A. Drozd 6. Monodromy W. Ebeling 7. Algorithmic resolution of singularities A. Fruhbis-Kruger and G. Pfister 8. Newton polyhedra of descriminants: a computation E. Garci a Barroso and B. Teissier 9. Depth and differential forms H. A. Hamm 10. The geometry of the versal deformation L. D. Trang 11. 21 years of SINGULAR experiments in mathematics C. Lossen and H. Schonemann 12. The patchworking construction in tropical enumerative geometry E. Shustin 13. Adjunction conditions for one-forms on surfaces in projective three-space J. H. M. Steenbrink 14. Sextic surfaces with ten triple points J. Stevens 15. Some problems on Lagrangian singularities D. van Straten 16. Topology, geometry, and equations of normal surface singularities J. Wahl.