The proceedings of a March 1996 conference in Iowa City that focused on finite geometries, but also considered topological geometries in the infinite case. The five guest lectures cover linear systems with parallelism, the classification of four-dimensional flexible projective planes, replaceable nests, flocks of Laguerre planes and associated geometries, and ovoids and translation planes from lattices. Another two dozen contributed articles explore such topics as variations on a theme of Dembowski, inductively minimal flag-transitive geometries, flocks of quadratic and semi-elliptic cones, hyper-reguli in projective space of dimension five, and co-set representations of homogeneous geometrical structures. Annotation c. by Book News, Inc., Portland, Or.