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Discussing how mage armor works as a personal conjuration spell is really not the correct way to answer the OP's question. Mage armor is simply incorrectly categorised as a conjuration spell when it is the very definition of an abjuration spell.
Abjuration:
Abjurations are protective spells. They create physical or magical barriers.
Conjuration, Creation: A creation spell manipulates matter to create an object or creature in the place the spellcaster designates.
So a barrier that moves with the caster is the poster boy abjuration spell, pure and simple. The GM should simply say that Paizo made a mistake and reclassify mage armor as an abjuration spell.