Algorithmic Algebraic Number Theory.- Sieving Methods for Class Group Computation.- Arithmetic of Modular Curves and Applications.- Local and Global Ramification Properties of Elliptic Curves
in Characteristics Two and Three.- Techniques for the Computation of Galois Groups.- Fortschritte in der inversen Galoistheorie.- From Class Groups to Class Fields.- A Gross-Zagier Formula for Function Fields.- Extremal Lattices.- Algorithmic
Commutative Algebra and
Algebraic Geometry.- On the Real Nullstellensatz.- Primary Decomposition: Algorithms and Comparisons.- Real Quantifier Elimination in Practice.- Hilbert Series and Degree Bounds in Invariant Theory.- Invariant Rings and Fields of Finite Groups.- Computing Versal Deformations with Singular.- Algorithms for the Computation of Free Resolutions.- Algorithmic Group and
Representation Theory.- Computational Aspects of the Isomorphism Problem.- Representations of Heeke Algebras and Finite Groups of Lie Type.- The Groups of Order 512.- Computational Aspects of Representation Theory of Finite Groups II.- High Performance Computations in Group Representation Theory.- The Structure of Maximal Finite Primitive Matrix Groups.- Presentations and Representations of Groups.