If your work will be performed 100% remotely from a Georgia location (meaning you will never physically work in New York, not even for a single day), then you should have no New York taxes withheld from your pay. Your employer should withhold Georgia taxes only. In this circumstance you would have no New York tax obligation and thus no necessity for any New York tax withholding.
If you will (physically) work partially in Georgia and partially in New York, then you should file NY Forms IT-2104 and IT-2104.1 with your employer. These forms guide your employer as to how much NY income tax to withhold from your pay. Income you earn from work you physically perform in New York is taxable by New York.
Also, be aware that, if you will work partially in Georgia and partially in New York, then you will also fall under New York's "convenience of the employer" rule, which states that work done remotely for your own convenience rather than that of your employer counts for tax purposes as work done in New York.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
