Kosher salt
12 ounces fusilli or other corkscrew pasta
1/2 pound sugar snap peas, halved lengthwise, or broccoli florets (or a combination)
2 carrots, shredded
1 yellow bell pepper, cut into thin strips
1/4 cup extra-virgin olive oil, plus more for drizzling
4 cloves garlic, thinly sliced
1 pint cherry tomatoes, halved
1/4 to 1/2 teaspoon red pepper flakes
1/2 cup roughly chopped fresh mint
1/2 cup grated parmesan cheese
4 ounces goat cheese, crumbled