In a medium bowl, whisk together olive oil, Parmesan, garlic, brown sugar, soy sauce and red pepper flakes. In a gallon size Ziploc bag or large bowl, combine shrimp and olive oil mixture; marinate for at least 30 minutes to overnight, turning the bag occasionally.

In large pot of boiling salted water, cook pasta according to package instructions; drain well.

Heat a large skillet over medium high heat. Add shrimp and sauce mixture and cook, stirring occasionally, until pink, about 2 minutes. Stir in pasta and gently toss to combine; season with salt and pepper, to taste.

Serve immediately, garnished with Parmesan and green onions, if desired.