Dedicated to Mel Rothenberg on the occasion of his 65th birthday.

Includes bibliographical references.

Vanishing theorems on covering manifolds ; The Sunada method ; Relative torsion for homotopy triangulations ; Nonlinear similarity and linear similarity are equivariant below dimension ; Massey products and critical points ; Absolute torsion ; Signatures of links and finite type invariants of cyclic branched covers ; The relation between compact and noncompact equivariant cobordisms ; Volume of Riemannian manifolds, geometric inequalities, and homotopy theory ; Pure braids, a new subgroup of the mapping class group and finitetype invariants of anifolds ; NovikovShubin invariants for arbitrary group actions and their positivity ; Differential operator endomorphisms of an EulerLagrange complex ; heory of twisted group ^* lgebras and positive scalar curvature ; Equivariant orientations and Thom isomorphisms ; Algorithmic aspects of homeomorphism problems ; The ignature theorem revisited ; A sequence of connections and a characterization of Kahler manifolds ; New invariants for surfaces ; The arithmeticity of groups of automorphisms of spaces ; Nonlinear averaging, embeddings, and group actions ; Higher rho nvariants Maxim Braverman ; Robert Brooks ; D Burghelea L Friedlander and T Kappeler ; Sylvain Cappell and Julius Shaneson ; Michael Farber ; Michael Farber and Vladimir Turaev ; Stavros Garoufalidis ; Viktor L Ginzburg Victor L Guillemin and Yael Karshon ; Mikhail G Katz and Alexander I Suciu ; Jerome Levine ; Wolfgang Luck Holger Reich and Thomas Schick ; Martin Markl and Steve Shnider ; Varghese Mathai ; J P May ; Alexander Nabutovsky and Shmuel Weinberger ; Jonathan Rosenberg ; Mikhail Shubin ; Mina Teicher ; Georgia Triantafillou ; Shmuel Weinberger ; Shmuel Weinberger