Matrix factorizations of homogeneous polynomials -- Some new results in the combinatorial theory of rings and groups -- On representations of infinite groups -- Integral manifolds, harmonic mappings, and the abelian subspace problem -- Valuations on ree fields -- Standard bases and homology -- Semisimple superalgebras -- On the laws of finite dimensional representations of solvable lie algebras and groups -- Lie groups and ergodic theory -- Galois theory of databases -- On the codimensions of matrix algebras -- Homology of free loop spaces, cyclic homology and non-rational poincare-betti series in commutative algebra -- Incomplete sums and two applications of Deligne's result -- Eigenvalues of matrices of complex representations of finite groups of lie type -- Normal fitting classes of groups and generalizations -- On the nilpotency of nil algebras