You should update your tax information by completing form IT-2104, so that Payroll can calculate the correct amount of tax to withhold from your pay.
If you do not, your default NY State status will be single with 0 allowances. Income tax is withheld from your wages based on marital status and the number of allowances claimed. You may also specify that an additional dollar amount be withheld. You can update your tax information anytime your tax situation changes and you choose to have more, or less, tax withheld by completing and submitting form IT-2104 to Payroll. Whether you are entitled to claim a certain number of allowances or exemptions from withholding is subject to review by NY State.
Syracuse University may be required to send a copy of your form to NY State upon their request.