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MA5253 Riemann Surfaces

This course will be an introduction to Riemann surfaces, focusing on topics such as topology of Riemann surfaces, divisors and line bundles, differential forms and Hodge theory, the Riemann-Roch theorem, period mappings, the Poincaré-Koebe uniformisation theorem. We will also discuss more advanced topics such as algebraic curves, hyperbolic geometry and discrete groups of automorphisms.

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