Young researchers were exposed to the basic theory of the two in lectures on interval exchange maps and translation surfaces; unipotent flows and applications; quantitative nondivergence and its Diophantine applications; diagonal actions on locally homogenous spaces; and Fuchsian groups
, geodesic flows on surfaces of constant negative curvature, and symbolic coding of geodesics.
Papers cover such subjects as outer automorphism groups of certain orientable Seifert three-manifold groups, a proposed public key cryptosystem using the modular group, normal subgroups of themodular group and other Hecke groups, unions of varieties and quasi-varieties, context-free irreducible word problems in groups, informative words and discreteness, using group theory for knowledge representation and discovery, torsion in maximal arithmetic Fuchsian groups
, density of test elements in finite Abelian groups and the Rosenberg "monster.
Eleven chapters cover linear transformations, groups of linear transformations, Fuchsian groups
, the Poincare theta series, the elementary groups, the elliptic modular functions, conformal mapping, uniformization and elementary and Fuchsian functions, uniformization and groups of Schottky type, and differential equations.