Final year project ideas - complex analysis For my final year, I have to do a project for a module. I want to investigate something in the complex analysis area. I've only covered the basics of analysis, like Cauchy's IT/IF, residue theorem etc. The only thing that's been suggested so far is the mathematics of Aerofoils. Just wondering if anyone has ideas of areas I could look at? 

I suggest you to look at some special functions, i.e., gamma function, zeta function and theta function. And the connection between cplx analysis and number theory. It's really interesting that the property of these functions will lead to some property of prime numbers. You can especially focus on the fundamental theorem of prime numbers and the four square theorem.
