2003 odge neon wiper issue

When the car is not running I can turn the ignition switch to "on" and the wipers work normally, on, off, delay...
If I start the engine, wipers run all the time and will not turn off.
Get this...
If I step on the brake the wipers stop. If I let go the brake the wipers start going again.
Does anyone have any idea what could be causing this?

Bad ground somewhere. Look close at wiring near the battery.

The answer is... a bad (shorted)washer pump motor and multi function switch(stuck on wash). I got ahold of a wiring diag and started pining things out and found (at the switch) power going to the washer pump but the pump was not running, so I unplugged the pump and voila...issue gone.