It is possible that your rates may go up. Even considering the fact that each of you have your own insurance policy, the insurance company will take into account all of the drivers (in this case, you and your mother) and their individual driving records on these policies separately. Most insurance companies base the rates on the driver who develops the highest premium. Usually this is the younger driver. In your case, your mother has a serious infraction and that might cause your premiums to increase as a result.

You can get a direct insurance quote here to see how this might affect your rates.