Bring a large pot of water to boil and add some salt. Add the pasta and cook according to package instructions.
While the pasta is cooking, heat the oil in a pan over medium heat. Add the shallots and cook until translucent, about 3-5 minutes. Add the garlic and cook for another 30 seconds.
Add the wine, bring to a boil, and then add the shrimp, pepper, salt, pepper flakes, and nutmeg. Once the shrimp are done add the parmesan cheese and lemon juice. Pour into a mixing bowl.
Drain the pasta and add to the mixing bowl, add the arugula and toss to combine.
Top with additional parmesan cheese or lemon zest if desired.