01 - Bring a large pot of salted water to a boil. Add live lobsters and cook for 5–6 minutes until bright red. Transfer to an ice bath to stop cooking. Remove meat from claws, tail, and knuckles, then chop into bite-size pieces.
02 - Bring a large pot of salted water to a boil. Cook bucatini according to package instructions until al dente. Reserve 1/2 cup of pasta cooking water, then drain well.
03 - Heat olive oil in a large skillet over medium heat. Add garlic and shallot; sauté for 2 minutes until fragrant but not browned.
04 - Add cherry tomatoes and red pepper flakes to the skillet. Cook for 4–5 minutes, stirring occasionally, until tomatoes begin to soften and release their juices.
05 - Pour in white wine and let simmer for 2 minutes to reduce slightly. Add lobster stock and continue simmering for 3 more minutes.
06 - Stir in butter, lemon zest, and lemon juice until butter melts. Add chopped lobster meat and cook gently for 2–3 minutes, just to heat through. Season with salt and pepper to taste.
07 - Add drained bucatini to the skillet. Toss everything together thoroughly, adding reserved pasta water as needed to create a silky, cohesive sauce that coats the pasta.
08 - Remove from heat and stir in fresh parsley. Divide among serving plates and serve immediately while hot.