Pre-heat the oven to 375° F.
In a large mixing bowl, mix together the peaches, sugar, salt, corn starch, and cinnamon, making sure to the scrape the sides down with a spatula.
Pour the peach mixture into an 8x8 or 7x9 baking dish, and set aside.
In a separate mixing bowl, mix together the oats, flour, brown sugar, cinnamon, and nutmeg.
Using a pastry blender, cut the butter into the oat mixture 'til you have a very crumbly mixture.
Crumble the topping over the peaches in the baking dish.
Bake at 375° F for about 1 hour, or 'til the top is a deep golden brown.
Remove the crisp from the oven and allow it to cool. It's best served while slightly warm, with vanilla ice cream and/or whipped cream.