My wife is and employee of the State of Georgia (technical school teacher) and is not having social security taxes withheld from her salary. How will this affect her/us at tax time?

Teachers in GA do not fall under social security but are under the state teachers retirement

Teachers Retirement System of Georgia (http://www.trsga.com/)

So an amout similar to Social security should be going to the TRS system

Tks. I just went back a looked at her pay statements. The description was vague, but there does appear to be such a payment.
Thanks for the reply.