Preheat oven to 400F. Heat the oil in a large cast-iron skillet on medium-high.
When the pan is hot add the potatoes. Add salt and pepper and stir occasionally for 4-6 minutes or until crispy. Add the peppers and garlic, and cook until soft.
Add the kale and stir until slightly wilted. Add more salt & pepper.
Use a spoon to make some wells in the hash and add the eggs with more salt & pepper. Sprinkle the grated cheese on top.
Bake for 7-9 minutes or until eggs are at your desired consistency. (7 minutes was perfect for me.)