CW14 is probably right, you must be either holding the plectrum incorrectly or have too much of it poking through. Don't grip it too tightly and let no more than 5 mm protrude.
Master one picking technique, it should be exactly the same when played slowly as quickly. Pick one note as fast as you can, look at the way you hold the plectrum etc, now play everything with the exact same hand position etc, no matter what bpm. That's the best piece of advice from Michael Angelo (he of the god-awfull hair, horrible tight leather pants and showboat 4 necked guitar... and more importantly, amazing ability!)