I suspect you did not meet all of the qualifications to file Form IT-2104-E. See this:
https://tax.custhelp.com/app/answers/detail/a_id/717/~/i-am-a-student.-am-i-exempt-from-having-my-em...
Although you are a student, if you had income from working in New York, that income is subject to NY taxation, and you DO have to file a NY tax return. Any tax balance due will be your responsibility.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
