[Introduce] Freezing (manga)

Set in a slightly futuristic world where Earth has been invaded and is at war with beings from another dimension called "Nova", the story follows the adventures of a Japanese boy named Kazuya Aoi who enrols for training at a special school for genetically modified girls called "Pandoras" who battle the aliens. Their male partners, called "Limiters", use a special power called "Freezing " to limit their opponent's mobility.
The protagonist makes the acquaintance of an unusual older girl named Satellizer L. Bridget who appears to be the most powerful Pandora in her class, but has not yet chosen a male partner to be her Limiter, and in spite of the warnings of all his friends, he decides to be her Limiter.