Asuka :

Asuka is a 100% Tipereth incarnation. She is hot-tempered and always willing to impose her opinion to others, while inside she defines her self as "the greatest EVA-pilot of all time", a genius and completely loveable. This is the illusion of Tipereth, false identification.
She is proud, the vice of Tipereth, and deep inside her, she feels lonely and hollow because of her mother's death. That matches Tipereth's qlippah, hollowness.What Asuka failed to reach is integrity (obligation), and she never managed to fulfill her vision, to live in harmony with others, neither in the world as she knows it, nor after Third Impact, when only Shinji and Asuka were left.