Cook the spaghetti in boiling salted water according to package instructions. Drain and set aside.

In a large skillet, heat olive oil over medium heat. Add minced garlic and sauté until fragrant, about 1 minute.

Add pumpkin puree, heavy cream, cinnamon, nutmeg, salt, and black pepper to the skillet. Stir to combine and heat through for about 5 minutes.

Toss the cooked spaghetti into the sauce, coating thoroughly. Sprinkle with grated Parmesan before serving.