Bring a large pot of salted water to a rolling boil. Add the pasta, and boil the pasta according to package directions for al dente style pasta, tender but still slightly firm to the bite. Strain, and toss with a splash of olive oil.

Meanwhile, pat the large cleaned shrimp dry with a clean paper towel until dry. Season with kosher salt and freshly ground pepper.

Heat a large metal skillet over medium heat, add 2 tablespoons of the unsalted butter. When the butter melts, raise the heat to medium-high, and add all of the shrimp at once. Cook the shrimp, without moving them, until the underside is pink, about 2 minutes. Flip the shrimp, and cook until fully pink and cooked through, about 2 minutes more. Remove the shrimp from the metal skillet and place on a clean dish until needed.

Reduce the heat to medium, then add the remaining 6 tablespoons butter, the butter has melted, add minced garlic, cook for 1-2 minutes then whisk in the heavy cream and nutmeg and bring to a simmer, then cook for 3 minutes. Lower the heat to a low setting.

Whisk in the Parmigiano-Reggiano into the sauce. Add the shrimp, lightly steamed broccoli, and al dente pasta, toss well. Season with salt, fresh ground pepper, and red pepper flakes.