Boil a large pot of salted water and cook the pasta according to package instructions until al dente.
While pasta cooks, heat olive oil in a large skillet over medium heat.
Add minced garlic and red pepper flakes, sautéing until fragrant.
Add the shrimp to the skillet, cooking until they turn pink.
Pour in the white wine and let it simmer.
Drain the pasta, reserving some pasta water.
Add the cooked pasta to the skillet with the shrimp.
Toss to combine, adding reserved pasta water as needed.
Stir in lemon zest, juice, and chopped parsley.
Season with salt and pepper to taste, and serve warm with grated Parmesan.