TRENDS IN COMMUTATIVE ALGEBRA

By ISABELLA ROBINSON

CONTENTS COMMUTATIVE ALGEBRA IN THE COHOMOLOGY OF GROUPS MODULES AND COHOMOLOGY OVER GROUP ALGEBRAS AN INFORMAL INTRODUCTION TO MULTIPLIER IDEALS LECTURES ON THE GEOMETRY OF SYZYGIES COMMUTATIVE ALGEBRA OF N POINTS IN THE PLANE TIGHT CLOSURE THEORY AND CHARACTERISTIC P METHODS MONOMIAL IDEALS, BINOMIAL IDEALS, POLYNOMIAL IDEALS SOME FACTS ABOUT CANONICAL SUBALGEBRA BASES