Reference books for advanced complex analysis.

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This semester I got introduced to complex analysis. While starting my studies I came across this questiom. What is a good complex analysis textbook, barring Ahlfors's?. And I exactly followed top answer. I started with Churchill and for geometric intuition I always look in needham. I enjoy the process truly. Now I want to take things ahead. I want to go to some advance level. Mainly I am looking for a book in which there is good explanation about univalent functions as I have to present seminar next semester on this topic. Suggestions will be really helpful.

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Conway's books I & II might interest you. Steven Krantz also has some more advanced books, such as this book or this book.

However, as mentioned in the comments, complex analysis can lead various directions in harmonic analysis, algebraic geometry, number theory, complex manifolds, several complex variables, Riemann surfaces, etc. So the advanced material that might be of interest to you may depend on which direction you want to take it.