Preheat the oven to 350 degrees F.
Heat the oil in a 10-inch nonstick ovenproof skillet. Add the potatoes and cook over medium low heat, stirring occasionally, until golden brown and tender, about 7-10 minutes. Add the scallions and cook for 1 minute.
Meanwhile, crack 8 eggs into a large bowl and lightly beat them. Add the cottage cheese, salt and pepper and mix together to combine.
When the potatoes are golden brown and slightly tender, turn off heat, add the egg mixture, smoked turkey and cheese and mix to combine. Use the back of the spoon to spread out evenly.
Place the skillet in the oven and bake until the omelet puffs and the eggs are just set in the center, 15-20 minutes. Serve hot.