I work at an accredited community college. I ask this because my paycheck, along with several other colleagues, had 0 withholdings for state, federal, and ssn. I was told that we get tax breaks because we work for the government, but that answer seems very incorrect to me.
Students at college employed by the college are exempt from the FICA taxes (Social Security and Medicare). You are not exempt from federal and state income taxes, but if you are a part time employee making a small amount of money, you probably aren't projected to be paid enough between now and the end of the year to trigger the withholding.
If you are concerned that your tax burden for the year will require you to send in money at tax time next year, you can estimate what your taxes will be, and if you determine that you will owe too much, you can fill out a new W-4 form with your HR department and request that additional tax be withheld.