Parallel completion techniques / Computation of Gröbner bases using an alternative algorithm / Symmetrization based completion / On the reduction of G-invariant polynomials for arbitrary permutation groups G / Non-commutative Gröbner freaks / Alternatives in implementing noncommutative Gröbner basis systems / String rewriting and Gröbner bases : a general approach to monoid and group rings / Gröbner fans and projective schemes / Normalized rewriting : a unified view of Knuth-Bendix completion and Gröbner bases computation / New directions for syntactic termination orderings / Two-sided Gröbner bases in iterated ore extensions / Computing the torsion group of elliptic curves by the method of Gröbner bases / Finding a finite group presentation using rewriting / Deciding degree-four-identities for alternative rings by rewriting