Lecture notes from MATH 2260: Riemann Surfaces by Jeremy Kahn at Brown University for the Spring 2024 semester.
The overview of the course contents is divided into 3 parts:
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- Definitions and Constructions of Riemann Surfaces.
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- Results on Compact Riemann Surfaces: the d-Bar Criterion, Mittag-Leffler, Riemann-Roch, Abel and Jacobi, Riemann Existence Theorem, etc.
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- The Uniformization theorem.