1. Don't slow down (as much) for curves
Just as the secret to a good lap time on the track isn't how fast you go in the straights, but how little you slow down in the corners, fuel economy is all about maintaining your momentum so you need less energy after a turn.
Whenever you hit the brakes, your forward momentum is lost to heat energy -- that's why your brakes get hot. Well, newsflash: that heat isn't doing any work for you. Taking a corner slowly also means your tires are doing less work to change the car's direction. But by braking less and going just a little bit faster through a curve, you're demanding more work from the tires, and much less energy is lost to heat.
Obviously, I'm not suggesting you don't brake at all, or even that you ever take turns at unsafe speeds. Just don't overbrake and you'll do well here.