I have a 2004 Grand Am SE1. My car was serviced approximately a month ago where I had the oil changed, fluids checked, and spark plugs and wires replaced. About 2 weeks ago while driving, the engine started jumping and acting like it was starving for gas. Less than a minute later it died. I had about 1/4 tank of gas at the time. After waiting about 15 minutes started back up. Went about 1-2 miles down the road and same thing. I did this all the way home. I figured maybe bad gas and possibly bad fuel filter as it had not been changed in awhile. I then changed out the fuel filter which was yucky put an additive in car and high test fuel. Tested car. Everything seemed to be fine except turn signals stopped working. Didn't think the two were connected so I put it on back burner. Worked great for a couple of days then same symptoms. Car dies wait 10 min or so start back up runs for a few miles then dies again. Replace the ignition module. Again, only using high test and car runs great for about a week then yesterday dies again. After the first time it died, however, turn signals suddenly start working again. It dies approximately 5 times while trying to get it home. During this time the turn signals stop working again. So now I am assuming this has to be related. I am thinking maybe the relay. Please any help or ideas would be appreciated.

i would clean your ground connections and bigger power wires first. not just the battery terminals. what engine?

I would also have the battery load tested to ensure it is a good battery.
ALT-How many volts going into battery when lights & fan on high etc?
Fuel -use a fuel additive for removing water (ethanol fuel can absorb moisture)
Then have the car scanned for codes.
and if it still stalls- it is on to sensors. IAC, MAF etc.

Does this car have the PassKey system? Is a security light coming on when it happens? Any other lights of any form?