T I M P E R U T Z
	Riemann Surfaces (M392C) University of Texas at Austin, Spring semester, 2014 Course number: M 392C. Unique identifier: 53880 Monday, Wednesday, Friday, 1 - 2 pm, RLM 11.176 Instructor: Timothy Perutz (Assistant Professor) Office hours: Tuesday, Wednesday, 4-5 p.m., RLM 10.136. Email: perutz AT math DOT utexas DOT edu Textbook: S.K. Donaldson, Riemann Surfaces, Oxford University Press, 2011. An electronic version is available from the University of Texas library here: Information about this course can be found in PDF format here. Please download and read! I'm happy to answer questions about this course by email or in person (RLM 10.136).
	Notes Review of basic complex analysis. (Last updated: Jan. 20, 2016) Homework There will be homework assignments every other week. They will largely be questions from Donaldson's text. For students who are in candidacy already, or are preparing for a candidacy exam later this semester, homework is optional. For other students, getting an A in this class requires substantial attempts at the homework assignments. Warning: grading will be cursory. There will be no exams. Homework 1. Donaldson, chapter 1, questions 2, 3, 4, 5, 6. (Note: In q5, the indicial roots are 0 and 1-c, not 0 and c.) Due Friday, Feb. 5 (in my pigeonhole or by email by 5pm). Homework 2. Donaldson, chapter 3, questions 4, 5, 6, 7, 9, 10, 11. Also: A) in class I wrote down a characterization of the Riemann surface of a holomorphic function, and sketched its construction. Provide a full account. B) In the construction of plane projective curves, I omitted the check of compatibility of the charts coming from the three affine subsets of the projective plane. Carry it out. Due Wed., March 2 (in my pigeonhole or by email by 5pm).

T I M P E R U T Z

Riemann Surfaces (M392C)

University of Texas at Austin, Spring semester, 2014

Course number: M 392C. Unique identifier: 53880
Monday, Wednesday, Friday, 1 - 2 pm, RLM 11.176
Instructor: Timothy Perutz (Assistant Professor)
Office hours: Tuesday, Wednesday, 4-5 p.m., RLM 10.136.
Email: perutz AT math DOT utexas DOT edu
Textbook: S.K. Donaldson, Riemann Surfaces, Oxford University Press, 2011. An electronic version is available from the University of Texas library here:
Information about this course can be found in PDF format here. Please download and read!

I'm happy to answer questions about this course by email or in person (RLM 10.136).

Notes

Review of basic complex analysis. (Last updated: Jan. 20, 2016)

Homework

There will be homework assignments every other week. They will largely be questions from Donaldson's text.

For students who are in candidacy already, or are preparing for a candidacy exam later this semester, homework is optional.

For other students, getting an A in this class requires substantial attempts at the homework assignments. Warning: grading will be cursory.

There will be no exams.

Homework 1.

Donaldson, chapter 1, questions 2, 3, 4, 5, 6. (Note: In q5, the indicial roots are 0 and 1-c, not 0 and c.) Due Friday, Feb. 5 (in my pigeonhole or by email by 5pm).

Homework 2.

Donaldson, chapter 3, questions 4, 5, 6, 7, 9, 10, 11. Also: A) in class I wrote down a characterization of the Riemann surface of a holomorphic function, and sketched its construction. Provide a full account. B) In the construction of plane projective curves, I omitted the check of compatibility of the charts coming from the three affine subsets of the projective plane. Carry it out. Due Wed., March 2 (in my pigeonhole or by email by 5pm).