My aunt put the car under her name but i am making all the payments each month, and putting more than the minimum.. Do you think that if I keep doing this for awhile, they can transfer the car to my name??

That will be up to the financier. One thing you can do is report your payment history to Trans Union credit bureau. It used to cost only 5.00 per, and that could've changed.

Experian and Equifax used to not offer this, they may have changed it.....