Fiorentini with Butternut Squash

INGREDIENTS

• 2 olive oil
• 2 unsalted butter
• 5 shredded butternut squash (from about 1/2 peeled medium squash; shredded with the coarse grating attachment on a food processor or on a box grater)
• 1/4 thinly sliced fresh sage
• 1 fiorentini or other short curled pasta
• Kosher salt
• 1/2 finely grated Parmesan or Grana Padano plus more