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Full Description
This volume includes expositions of key developments over the past four decades in commutative and non-commutative algebra, algebraic $K$-theory, infinite group theory, and applications of algebra to topology. Many of the articles are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass. Important topics related to Bass' mathematical interests are surveyed by leading experts in the field. Of particular note is a professional autobiography of Professor Bass and an article by Deborah Ball on mathematical education. The range of subjects covered in the book offers a convenient single source for topics in the field.
Contents
On the occasion of the 65th birthday of Hyman Bass by J. Ewing A professional autobiography by H. Bass Crossing boundaries to examine the mathematics entailed in elementary teaching by D. L. Ball Bass's work on the Jacobian conjecture by E. Formanek Torsion in genus class groups by R. M. Guralnick and C. J. Pappacena Hyman Bass and ubiquity: Gorenstein rings by C. Huneke A salute to Euler and Dickson on the occasion of Hy's 65th birthday by I. Kaplansky Bass's work in ring theory and projective modules by T. Y. Lam One for almost all: Generation of $SL(n,p)$ by subsets of $SL(n,\mathbb{Z})$ by A. Lubotzky Deformations of representations by A. R. Magid Trees, lattices and commensurators by S. Mozes A survey of obstruction theory for projective modules of top rank by M. P. Murthy The congruence subgroup problem by A. S. Rapinchuk Three-manifold topology and the tree for PSL$_2$: The Smith conjecture and beyond by P. B. Shalen The development of algebraic $K$-theory before 1980 by C. A. Weibel.
