You can probably AA the stripes in the shirt/sweater with that darker purple, careful though, might looks like pillow shading unless you have a lighter purple color to help show where the light source is coming from. Which is in front of her. You might want to play with the idea of not using a pure black like that. I didn't notice the blue in the eyes unless I zoomed in. Watch out for that banding between the hair and skin... seems to be ever where skin meets hair.