Bucatini in Chunky Eggplant Sauce

From the Washington Post via shareholder Eileen Hanning

1/4 cup extra-virgin olive oil
2 cloves garlic, chopped
One 12-ounce eggplant (unpeeled), cut into 1/4-inch by 1/4-inch by 3-inch strips
2 tablespoons plus 1/2 teaspoon salt, or more as needed
1/8 teaspoon freshly ground black pepper, or more as needed
1 pound ripe tomatoes, peeled and diced
1 teaspoon minced fresh oregano, or more as needed
12 basil leaves, torn
1 pound dried bucatini pasta
1/2 cup freshly grated pecorino Romano cheese, for serving

Heat the oil in a wide, deep-sided sauté pan over medium-low heat. Add the garlic and cook, 30 seconds, then add the eggplant, 1/2 teaspoon of the salt and the pepper. Partially cover and cook for 25 minutes, stirring often, or until soft, allowing the liquid from the lid to drip into the eggplant if it seems dry.
Use a fork to crush the eggplant in the pan to a chunky consistency, then add the tomatoes and the teaspoon of fresh oregano. Increase the heat to medium; cook uncovered for 10 to 20 minutes, until the sauce is thick (the cooking time will depend on how juicy your tomatoes are). Stir in the basil and keep the sauce warm.
Meanwhile, bring 5 quarts of water to a boil over medium-high heat. Add the bucatini and the remaining 2 tablespoons of salt. Cook according to the package directions (al dente), about 8 minutes. Drain, reserving 1/2 cup of the pasta cooking water.
Add the drained pasta to the sauce in the pan, and add just enough of the reserved pasta cooking water to create a sauce that coats the bucatini. Taste, and add more salt and/or pepper and oregano, as needed.
Serve hot, dusted with the cheese.