Battery light on with new battery, car shuts off while driving

My battery light is on an I got a new battery in my car, I drive my car and it shuts off on me. When I get it jump started, there is a smell of rotten eggs and I do not know if it's coming from the catalytic converter or battery. Either way it stops smelling that way when I start to drive it. Only for the car to shuts off me again while driving it and I do the same thing over. I jump start it and it starts an the smell comes back but doesn't stay. Help please!