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MA475 Riemann Surfaces

2019:

Problem/review session on Fridays at 11 in B3.02.

Prof. Smillie's office hours are Mondays from 3-4 and by appointment.

Exaple sheets for 2019:

Example Sheet 1

Course contents for 2018:

Topic outline

Definition of Riemann surfaces (Uploaded 13 April)

Implicit function theorem (Uploaded 16 April)

Affine and projective varieties (Uploaded May 14)

Local structure of holomorphic maps and structure of proper holomorphic maps (Uploaded 16 April)

Meromorphic functions on CP1 (Uploaded 15 April)

2018 Covering space notes (Updated 11 April)

2018 Weierstrass P functions and Riemann-Hurwitz (Updated 15 April)


Lecture notes from 2017:

Covering space discussion

Riemann surfaces and atlases

Notes 1

Notes 2

Notes 3

Notes 4

Algebraic curves and holomorphic maps

Notes 5

Notes 6

Notes 7

Notes 8

Notes 9

Topology and holomorphic maps

Notes 10

Notes 11

Notes 12

Notes 13

Notes 14

Notes 15

The Weierstrass P function

Notes 16

Notes 17

Notes 18

Notes 19

Notes 19.5

The uniformisation theorem and conclusion

Notes 20

Notes 21

Notes 22

Notes 23