2001 Hyundai Accent Car dies when engine is warm

I'm having a problem with my accent dying. It runs very well, shifts well but after I am driving for more than 10 to 15 minutes, it gives this problem. I will come to a complete stop, then when I press the gas it dies, (only when warm) It will start back up immediately. I then have to release the brake and let it start to roll slowly, very gently start pushing the gas until it engages, and then I can go just fine. This is very wierd. Can someone please help???