Preheat your oven to 355f (180c).
Place the carrots, red pepper, leek and garlic cloves on a baking tray and drizzle with the olive oil and balsamic vinegar.
Add the thyme sprigs and the salt and pepper and toss well.
Roast in the oven for 25 - 30 minutes until the tops are starting to char.
Transfer to a food processor or blender, discarding the thyme sprigs and squeeze the garlic out of it's skin.
Blitz with the broth until smooth.
Cook your pasta in a pot of boiling salted water.
Heat the pureed carrot sauce in a frying pan or skillet over a medium heat.
Add the cooked pasta to the sauce with a splash of pasta water and mix well.
Divide between bowls and top with parmesan cheese.