Adam:
Offhand, if you have to pay federal income taxes on your stipend, then technically you will have to pay state income taxes.
However, on a practical matter, I know the NY state standard deduction is higher than your $7,100 stpend amount, so no NY taxes will be due and, more importnatly, there is no need to file a NY state tax return (unless you are eligible for some tax credit; I would have to research that). You might want to ask someone at the NY tax authority (go to the NY state government website to get a phone number for taxes) if you are eligible for some tax credit refund. For sure, though, you owe no NY state income taxes.
As for New Jersey, if your income from all sources is less than $10,000, you are exempt from filing state income taxes for NJ as well.
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