Discrete Groups and Riemann Surfaces

  title={Discrete Groups and Riemann Surfaces},
  author={Anthony Weaver},
These notes summarize four expository lectures delivered at the Advanced School of the ICTS Program Groups, Geometry and Dynamics, December, 2012, Almora, India. The target audience was a group of students at or near the end of a traditional undergraduate math major. My purpose was to expose the types of discrete groups that arise in connection with Riemann surfaces. I have not hesitated to shorten or omit proofs, especially in the later sections, where I thought completeness would interrupt… 

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