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A journey through the mathematical world of Karen Uhlenbeck

  • Simon Donaldson

摘要

In this article we discuss some of Karen Uhlenbeck’s most prominent mathematical results. Uhlenbeck’s publications range across many mathematical areas, including differential geometry and geometric analysis, elliptic and hyperbolic partial differential equations and integrable systems. In this article we only attempt to describe some part of this range. The main omissions are that we say nothing about her work on wave and Schroedinger maps, and very little about integrable systems.