Meanwhile, heat 1 tablespoon olive oil in a large skillet over medium high heat. Add the shallot and cool until fragrant, about 2 minutes. Add the garlic and cook 1 additional minute. Add the shrimp, then sprinkle with 1/2 teaspoon red pepper, 1/2 teaspoon salt, and 1/2 teaspoon black pepper. Sauté, stirring to coat with garlic, just until cooked through (both sides will be pink and opaque), about 3 minutes. Remove to a plate and set aside.
Bring a large pot of salted water to a boil and cook pasta until al dente, according to package directions. Reserve 1/4 cup of the pasta water, drain remaining water, then toss with a bit of olive oil to prevent sticking. Set aside.