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Step 1
Bring a shallow amount of water to a boil in a medium pot. Boiling the pasta in less water creates a very starchy pasta water that is essential to create the sauce for this recipe.
Step 2
Add 2 tablespoons of butter to a large saute pan and melt over medium-low heat.
Step 3
Add in leeks and season with salt and pepper. Cook, stirring occasionally, over medium-low heat until the leeks are very soft, about 10 minutes. Turn the heat all the way down to low while you cook the pasta.
Step 4
Season the boiling water with salt and drop in the pasta. Cook until the pasta is just al dente.
Step 5
Drain pasta (reserving at least 2 mugsful of pasta water) and add the pasta to the pan with the leeks over low heat.
Step 6
Add in the remaining 3 tablespoons of cold butter along with a splash of pasta water. Toss until the butter has melted and the pasta is starting to look creamy.
Step 7
Add in the parmesan in three additions along with splashes of pasta water, tossing until fully melted before adding more cheese. Add as much pasta water as needed to create a creamy, emulsified sauce, and toss, toss, toss!
Step 8
Serve topped with more cheese, very finely grated hazelnuts (I use a microplane), and more black pepper.