Complex Analysis 2

These are my (unofficial) lecture notes for the lecture Complex Analysis 2 held by Dr. P. Massopust at the Technical University Munich in the summer semester 2023.

Topics covered include:

• the Riemann sphere
• homology in the complex plane, in particular the cotangent space, differential forms and the Cauchy Integral Theorem
• constructing holomorphic functions with prescribed zeros and poles
• the Riemann mapping theorem
• sheaf cohomology in the complex plane