Math 428: Topics in Complex Analysis

August 28: Meromorphic and holomorphic functions at infinity

Stein and Shakarchi pp. 83-89

August 30: Riemann sphere introduced

Miranda, pp. 3, and glossary of Topological terms

September 1:

Riemann surfaces defined

No office hours today

September 4: Labor day-no class

September 6:

Assignment 1 due

Complex tori and updated Topological terms

September 11:

Assignment 2 due: Problems I.1.B,I.1.E,I.2.E,I.2.F,I.2.G from Miranda

September 18:

Assignment 3 due

September 25:

Assignment 4 due: Problems I.3.G, II.2.H, II.3.K, II.4.B, II.4.C, II.4.E, II.4.G, II.4.I

September 27:

Details on automorphisms of complex tori

October 2:

Midterm due

Optional assignment: Problems III.1.F, III.1.G, III.1.J

October 9:

Assignment 5 due; Grader's solution for last problem

October 18:

Assignment 6 due: Problems III.4.A, III.4.F, III.4.H, III.4.J, III.4.L

October 23:

Assignment 7 due: Problems IV.1.D, IV.1.E, IV.1.G, IV.2.I

November 3:

Clean version of today's ad lib

November 6:

Assignment 8 due: Problems IV.3.E, V.1.B, V.1.C, V.1.E, V.2.C, V.2.D

November 13:

Assignment 9 due: Problems V.3.G, V.3.H, V.4.B, V.4.H, V.4.K

November 20:

Assignment 10 due: Problems VI.1.D, VI.1.F, VI.1.L

November 27: Enjoy Thanksgiving!

December 4:

Assignment 11 due: Problems VI.2.F, VI.2.G, VI.2.H, VI.2.J, VI.3.B

Topics from Stein and Shakarchi should be in most standard introductory texts in complex analysis.