Potato Gnocchi with Chorizo Sauce

GNOCCHI

• 3 pounds baking potatoes
• 6 large egg yolks, lightly beaten
• 3 cups all-purpose flour, plus more for dusting
• 1 1/2 cups freshly grated Parmigiano-Reggiano cheese
• 4 teaspoons kosher salt
• 1 teaspoon freshly ground pepper
• 1/4 teaspoon freshly grated nutmeg

CHORIZO SAUCE

• 3 medium tomatoes
• 1 pound fresh chorizo, casings removed
• 2 tablespoons extra-virgin olive oil
• 1 small yellow onion, minced

Kosher salt

Black pepper

• 1 carrot, coarsely grated
• 2 garlic cloves, minced
• 1 1/2 tablespoons tomato paste
• 1/2 cup dry white wine
• 1 bay leaf
• 1 tablespoon sugar
• 2 cups chicken stock
• 1/4 cup freshly grated Parmigiano-Reggiano, plus more for garnish
• 1 1/2 teaspoons minced oregano, plus sprigs for garnish

Crushed red pepper, for garnish

Make the gnocchi

1. Preheat the oven to 400°. Prick the potatoes with a fork, wrap in foil and bake until tender, 1 hour. Let stand until just cool enough to handle, about 10 minutes. Peel the potatoes and cut into large chunks. Press through a ricer onto a work surface; you should have about 6 loosely packed cups. Gently spread the potatoes into a 10-by-18-inch rectangle. Scrape the egg yolks on top and sprinkle with the 3 cups of flour, the cheese, salt, pepper and nutmeg. Using a pastry scraper, swiftly chop the ingredients together. Knead gently until the dough comes together in a smooth ball. Cut into 8 wedges and cover with a kitchen towel.
2. Lightly dust 2 rimmed baking sheets with flour. Roll 1 wedge of gnocchi dough into a 3/4-inch-thick rope, about 18 inches long. Using a knife, cut the rope into 3/4-inch pieces and transfer to a prepared baking sheet. Repeat with the remaining dough. Cover the gnocchi with plastic wrap and refrigerate until firm, at least 30 minutes.
3. Make the chorizo sauce
4. Working over a medium bowl, coarsely grate the tomatoes on a box grater; discard the skins. You should have about 1 3/4 cups of tomato puree.
5. In a deep medium skillet, cook the chorizo over moderate heat, breaking up any clumps, until beginning to brown, 8 to 10 minutes. Scrape the chorizo onto a plate.
6. Heat the oil in the skillet. Add the onion, season with a generous pinch each of salt and black pepper and cook over moderate heat until golden, 5 to 7 minutes. Add the carrot and garlic and cook, stirring, until softened, about 2 minutes. Stir in the tomato paste. Deglaze the skillet with the wine, scraping up any browned bits. Cook until the wine has reduced by two-thirds, about 3 minutes. Return the chorizo to the skillet with the fresh tomato puree, bay leaf, sugar and chicken stock. Bring the sauce to a boil, then simmer over moderately low heat, stirring, until reduced by half, about 45 minutes. Stir in the 1/4 cup of cheese and the minced oregano and season with salt and black pepper. Keep warm.
7. In a pot of salted boiling water, cook the gnocchi in 3 batches until tender, about