May 08, 2021  
2017-2018 Graduate Catalog 
    
2017-2018 Graduate Catalog [ARCHIVED CATALOG]

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MATH 890 - Riemann Surfaces

Credits: 3

Introduction to Riemann Surfaces. Topics will include complex charts, complex structures, holomorphic and meromorphic maps (and functions), order of poles and zeros, covering spaces, monodromy of holomorphic maps, differential forms, DeRham cohomology groups, integration on Riemann surfaces, Cech cohomology of sheaves, compact Riemann surfaces, finite theorems, divisors and sheaves of meromorphic forms, and the Riemann Roch Theorem.

Requisites:
Prerequisite: MATH 702, MATH 811, and MATH 822.

Typically Offered
Spring


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