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Harmonic Analysis in Phase Space. (AM-122), Volume 122
This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave …
Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88
Since Poincare's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, …
Introduction to Toric Varieties. (AM-131), Volume 131
Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. …
Dynamics in One Complex Variable. (AM-160)
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This …
Seminar on Transformation Groups. (AM-46), Volume 46
The description for this book, Seminar on Transformation Groups. (AM-46), will be forthcoming.
Spherical CR Geometry and Dehn Surgery (AM-165)
This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main …
Contributions to the Theory of Games, V1: Annals of Mathematics Studies, No. 24
Combinatorial Group Theory and Topology. (AM-111), Volume 111
Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of …
Berkeley Lectures on p-adic Geometry
Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the …
Flows on Homogeneous Spaces. (AM-53), Volume 53
The description for this book, Flows on Homogeneous Spaces. (AM-53), will be forthcoming.