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MA475 Riemann Surfaces

I will be available until Monday 21 May to answer questions but I will

not be available for the 3 days immediately before the exam. Please

take this into account.

Problem/review session on Monday, May 7 from 1pm-2:30pm in B3.01.

Prof. Smillie's office hours are Thursday's from 1:30-2:30 and by appointment.

Example Sheets for 2018:

Example Sheet 1

Example Sheet 2

Example Sheet 3

Example Sheet 4

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