**Math 213a, Fall 2018ADVANCED COMPLEX ANALYSIS**

Office Hours: Tuesdays and Thursdays, 1:30 p.m. - 3 p.m.

Course Meets in Science Center 222

Tuesdays & Thursdays 3 p.m. - 4:15 p.m.

Course Assistant: Karl Winsor (kwinsor@math.harvard.edu)

Office Hours: Mondays, 6 p.m. - 7:15 p.m. in Science Center 109

Textbooks: "Complex Analysis" by Elias M. Stein & Rami Shakarchi, Princeton University Press 2003

Course Description: Fundamentals of complex analysis, and further topics

such as elliptic functions, canonical products, conformal mappings,

the
zeta function and prime number theorem, and Nevanlinna theory.

LECTURE NOTES: Elliptic Functions (Part 1)

HOMEWORK: Assigned September 6, 2018 due September 18, 2018

LECTURE NOTES: Elliptic Functions (Parts 1 and 2)

HOMEWORK: Assigned September 11, 2018 due September 18, 2018

LECTURE NOTES: Elliptic Functions (Parts 1 to 3)

HOMEWORK: Assigned September 13, 2018 due September 18, 2018

LECTURE NOTES: Elliptic Functions (Parts 1 to 4)

HOMEWORK: Assigned September 18, 2018 due September 25, 2018

LECTURE NOTES: Elliptic Functions (Complete)

LECTURE NOTES: Theta Functions of Jacobi (Part 1)

HOMEWORK: Assigned September 20, 2018 due September 25, 2018

HOMEWORK: Assigned September 25, 2018 due October 2, 2018

LECTURE NOTES: Theta Functions of Jacobi (Complete)

LECTURE NOTES: Uniformization Theorem (Part 1)

HOMEWORK: Assigned October 2, 2018 due October 9, 2018

LECTURE NOTES: Uniformization Theorem (Parts 1 and 2)

HOMEWORK: Assigned October 4, 2018 due October 9, 2018

LECTURE NOTES: Uniformization Theorem (Complete)

LECTURE NOTES: Schwarz-Christoffel Transformation

HOMEWORK: Assigned October 9, 2018 due October 16, 2018

HOMEWORK: Assigned October 11, 2018 due October 16, 2018

LECTURE NOTES: Poisson Kernel

HOMEWORK: Assigned October 16, 2018 due October 23, 2018

LECTURE NOTES: First Main Theorem of Nevanlinna