I have started to write lecture notes for a variety of topics. Most are still in the draft stages, but when they become reasonably presentable I will post them on this page in the hope that someone might find them useful.

**The Basic Theory of Univalent Functions**[.ps] [.pdf] (last updated on August 29, 2007)I would eventually like to write a detailed introduction to the Schramm-Loewner evolution (SLE or the stochastic Loewner evolution) suitable for beginning graduate students. In order to understand Loewner's equation, it is necessary to understand the basics of univalent functions. Currently the chapter on univalent functions is complete enough to be posted, and could even be covered as one interesting topic as part of a second course on complex analysis.

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