← Theoretical / proof-based

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In this program

Riemann surfaces: definitions and examples
Uniformization theorem (statement)
Divisors and line bundles
Sheaves (introduction)
Hodge theory on Riemann surfaces (optional)
Nevanlinna theory (optional capstone)

Riemann surfaces and advanced topics

Uniformization theorem (statement)

Complex analysis · Theoretical / proof-based

Topic

Uniformization theorem (statement)

Practice by unit: Riemann surfaces and advanced topics

Graduate Complex Analysis — scope drawn from open graduate complex analysis texts and typical US graduate complex analysis syllabi.

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