Prepare the chestnut pesto by blending chestnuts, olive oil, garlic, and herbs until smooth
Cook pasta according to package instructions until al dente
Drain pasta, reserving some pasta water
Mix the cooked pasta with the chestnut pesto
Add fresh sheep/goat cheese and grated aged S.Jorge cheese, stirring until creamy
If needed, add a splash of pasta water to achieve desired consistency
Serve topped with cherry tomatoes
