Lobster Pasta with Corn and Tomatoes

Name: Lobster Pasta with Corn and Tomatoes
Ingredients: 1 (16-ounce) package uncooked linguine; 6 tablespoons unsalted butter , divided; 6 medium garlic cloves , thinly sliced; Pinch of crushed red pepper; 1/2 cup dry white wine; 1 1/2 cups fresh corn kernels (from 3 ears); 1 teaspoon kosher salt; 2 cups cherry tomatoes (11 ounces), halved and divided; 1 pound cooked lobster meat , cut into 1-inch pieces; 2 ounces Parmesan cheese , grated (about 1/2 cup), plus more for serving; 1/2 cup torn fresh basil , plus more for garnish