Preheat the oven to 400° F. Place the tomatoes in an oven-safe baking dish. In the center of the tomatoes, place the log of goat cheese.
Sprinkle the garlic slices over the tomatoes. Season with salt, pepper, and red pepper flakes.
Pour the olive oil over the tomatoes and garlic.
Bake the mixture in the oven for 30-35 minutes, until the tomatoes have burst and the goat cheese is melted.
While the mixture is baking, cook the pasta according to the package instructions until al dente. *Reserve ⅓ cup of pasta water, in case it is needed.
Stir the pasta into the cheese-tomato mixture. Toss to combine.
Serve immediately with parmesan cheese and additional cracked black pepper, if desired.
*Note: I used a small pan (pictured) for baking and tossed everything together in a bowl. For fewer dishes, use a wide enough baking dish that will fit the pasta as well. That way, you can toss everything together in one pan.