01 - Cook the pasta in a large pot of salted boiling water until al dente. Reserve 1/2 cup pasta water, then drain and set aside.
02 - Heat 1 tablespoon butter and 1 tablespoon olive oil in a large skillet over medium-high heat. Add shrimp in a single layer, season with salt and pepper, and cook for 1–2 minutes per side until pink and opaque. Remove and set aside.
03 - In the same skillet, add remaining butter and olive oil. Sauté shallot for 2 minutes until soft. Add garlic and cook for 30 seconds until fragrant.
04 - Pour in white wine, scraping up browned bits. Simmer for 2–3 minutes until slightly reduced.
05 - Lower heat to medium-low. Add heavy cream, lemon zest, lemon juice, red pepper flakes, and Parmesan. Stir until cheese melts and sauce becomes smooth.
06 - Return shrimp to skillet. Add cooked pasta and toss to coat. Add pasta water if sauce needs thinning. Stir in parsley, season to taste, and serve garnished with extra parsley, Parmesan, and lemon wedges.