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One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he an
Cohomological Induction and Unitary Representations (PMS-45), Volume 45
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This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. Geo
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)
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This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differe
A Primer on Mapping Class Groups
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The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group th
Introduction to Representation Theory
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Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from