Is it possible to get rid of a white birthmark on my face? (Photo)

This is most likely due to post inflammatory hyperpigmentation. Skin lightening agents (e.g. hydroquinone) and Retina A are helpful in many. Im my patients this is used for at least 3 weeks prior to treatment and for several months after healing along with a strong sunscreen. 

Fractional laser is an amazing and highly effective treatment in our office. We use the laser treatment to help with acne scars, large pores, fine wrinkles, tissue collagen loss, scars, sebaceous hyperplasia, active acne, and for brightening dark pigmentation. Although there are very strong...

Hi Sallie.  Laser treatments do not thin the skin (at least the ones of today) so you would not have a problem with lasers causing thinning of the skin.  Whether or not you are a good candidate for laser procedures should be determined during a consultation with a qualified...

The Vbeam laser and Limelight treatments can both improve the rosacea and the brown age spots. Best, Dr. Karamanoukian 

Given you are of Indian decent, much care must be given in how you pursue laser resurfacing treatments.  Without knowing what particular concern you are addressing, it is difficult determine which procedure will provide optimal results for you and what degree of redness to anticipate....