Corn Pie

Make the crust

1. Process the flour and salt together in a food processor until combined. Scatter the shortening over the top and process until the mixture resembles coarse cornmeal, about 10 seconds. Scatter the butter pieces over the top and pulse the mixture until it resembles coarse crumbs, about 10 pulses. Transfer the mixture to a bowl.
2. Sprinkle 4 tablespoons of the ice water over the mixture. Stir and press the dough together, using a stiff rubber spatula, until the dough sticks together. If the dough does not come together, stir in the remaining water, 1 tablespoon at a time, until it does.
3. Turn the dough onto a sheet of plastic wrap and flatten into a 4-inch disk. Wrap the dough tightly in the plastic wrap and refrigerate for at least 1 hour, or up to 2 days. Before rolling out the dough, let it sit on the counter to soften slightly, about 10 minutes.

Make the corn filling

1. Adjust an oven rack to the middle position and heat the oven to 375°F (190°C).
2. Hard-boil 2 of the eggs by covering them with 1 quart water in a small saucepan and bringing to a boil over high heat. As soon as the water reaches a boil, remove the pan from the heat, cover, and let sit for 10 minutes. Meanwhile, prepare a bowl of ice water. Transfer the eggs to the ice water and cool for 5 minutes. Peel the eggs, cut crosswise into 1/4-inch slices, and set aside.
3. Meanwhile, slice the corn kernels from the cobs. Process half of the corn (about 4 cups kernels) in a blender (or food processor) with the cream until smooth, about 30 seconds. Add the remaining 2 eggs and blend until combined, about 5 seconds. Set aside.
4. Melt 2 tablespoons of the butter in a 10-inch cast iron skillet over medium heat. Add the onion, celery, and salt and cook, stirring occasionally, until softened, 5 to 7 minutes. Stir in the garlic and pepper and cook until fragrant, about 30 seconds. Off the heat, stir in the remaining corn kernels, corn-cream mixture, and parsley. Smooth the surface of the filling, then arrange the sliced eggs over the top in an even layer. Using your hands, break up the remaining 2 tablespoons butter into small pieces and scatter evenly over the top.
5. Roll out the dough on a lightly floured counter to a 12-inch circle, about 1/8 inch thick. Cut three oval-shaped vents, each about 1 inch long and 1/2 inch wide, in the center of the dough. Working quickly, roll the dough loosely over the rolling pin and unroll it evenly over the skillet. Trim the dough, leaving 1/2 inch hanging over the pan lip. Press the dough firmly to seal it to the lip of the pan. (For a decorative border, press the edges of the pie with the tines of a fork.)
6. Place the skillet on a foil-lined rimmed baking sheet and bake until the filling is bubbling and the crust is golden brown, about 1 hour. Cool for 10 minutes before serving the pie.