Basics

Kaname who? The main vampire behind this shrine

Kaname Kuran (玖蘭枢, Kuran Kaname): He saved Yuki from an attack by another vampire ten years ago, when she was just a child, and is one of the few remaining pure blooded vampire .

Kaname is the class president of the Night Class, much feared and respected by the other Night Class students. While he is cold and authoritative towards his fellows in the Night Class, he is always kind and sweet to Yuki.

He seems to know the pureblood Shizuka (he calls her by her first name), who bit Zero Kiriyuu. He even states that they are the same in the way that they'll do anything for themselves before stabbing her in the stomach with his hand.
He has shown that he cares deeply for Yuki ever since he saved her, to what might be love in a romantic sense.