*So maybe I will be able to write that proof!*

Ordinarily, modern advances in the theory of complex variables for problems that are of a level comprehensible to readers of this book are extremely rare. A remarkable exception occurred in the year 1984--within the lifetime of many readers--for it was then that a relatively obscure mathematician at Purdue University, Louis de Branges, published his solution of a famous unsolved problem in functions of a complex variable: the Bieberbach conjecture...He was 54 years old at the time of his breakthrough, an age at which most mathematicians are beyond their best work...

(p. 259, Complex Variables with Applications, A. David Wunsch)