For those who refuse to use herbicide to kill garlic mustard and other invasive plants, there is the weed torch. It uses propane flame to kill young garlic mustard plants. Early spring is also a good time for this method as desirable plants are less likely to be burned.
The cost of a torch rig is around $200.00, which is quite a bit of money considering its limited usefulness. The torch assembly is also difficult to transport.
Some people strap the bottle to a backpack frame, but I am not comfortable with that arrangement. Others use a two wheel cart that can be difficult to navigate of narrow trails and steep slopes.
Head to the Wisconsin DNR website for more information about controlling garlic mustard.