Put the Brie in the freezer for about 20 minutes to firm up a little. This will make it easier to cut when the time comes.
Roughly chop the tomatoes and put them in a large serving bowl. Finely chop the garlic and add it to the bowl. Chiffonade or roughly chop the basil and add that to the bowl too. Pour in the olive oil and add a generous amount of salt and pepper. Gently stir everything together.
Roughly chop the tomatoes and put them in a large serving bowl. Finely chop the garlic and add it to the bowl. Chiffonade or roughly chop the basil and add that to the bowl too. Pour in the olive oil and add a generous amount of salt and pepper. Gently stir everything together.
Once the Brie is firm enough, cut it into 1/2-inch cubes and add these to the bowl. Gently fold to combine the cheese with the rest of the ingredients. Cover the bowl and let it sit at room temperature for at least 2, and up to 8, hours -- the longer the better.
When you are ready to eat, bring a large pot of heavily salted water to a boil and cook the pasta until just al dente. Strain it and tip it into the bowl with the sauce. Fold everything together until it is well combined, the Brie has begun to melt, and the pasta is slicked with cheese and tomato goodness. Serve immediately with a big green salad.