GEN 10432

Riemann Surfaces

Stanford University · UGRD · Fall 2026

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Riemann surfaces and holomorphic maps, algebraic curves, maps to projective spaces. Calculus on Riemann surfaces. Elliptic functions and integrals. Riemann-Hurwitz formula. Riemann-Roch theorem, Abel-Jacobi map. Uniformization theorem. Hyperbolic surfaces. (Suitable for advanced undergraduates.)

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Class #stanford-10432Fall 2026UGRD3 credits
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