Contemporary Mathematics 2007; 334 pp; softcover Volume: 436 ISBN10: 0821838148 ISBN13: 9780821838143 List Price: US$105 Member Price: US$84 Order Code: CONM/436
 This book is based on talks presented at the Summer School on Interactions between Homotopy theory and Algebra held at the University of Chicago in the summer of 2004. The goal of this book is to create a resource for background and for current directions of research related to deep connections between homotopy theory and algebra, including algebraic geometry, commutative algebra, and representation theory. The articles in this book are aimed at the audience of beginning researchers with varied mathematical backgrounds and have been written with both the quality of exposition and the accessibility to novices in mind. Readership Graduate students and research mathematicians interested in algebraic topology, commutative algebra, algebraic geometry and homological algebra. Table of Contents Introductory lecture series  P. Goerss and K. Schemmerhorn  Model categories and simplicial methods
 C. Huneke and A. Taylor  Lectures on local cohomology
 H. Krause  Derived categories, resolutions, and Brown representability
 H. Krause  Exercises on derived categories, resolutions, and Brown representability
Topics lecture series  J. P. C. Greenlees  Spectra for commutative algebraists
 K. Hess  Rational homotopy theory: A brief introduction
 S. Iyengar  AndréQuillen homology of commutative algebras
 W. G. Dwyer  Local cohomology in commutative algebra, homotopy theory, and group cohomology
 J. P. C. Greenlees  First steps in brave new commutative algebra
 M. Hovey  Cotorsion pairs and model categories
 K. Brüning and I. Burban  Coherent sheaves on an elliptic curve
 A. Adem  Lectures on the cohomology of finite groups
