Your home state of NJ can tax all your income, regardless of where you earn it. Your work state of NY can tax the income you earn from the work you physically perform within NY, and from any work you perform remotely from home, if you work remotely for your own convenience rather than because your employer requires it.
NJ will grant you a credit for the taxes paid to NY, so you won't be double taxed.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
