Hollow Pasta with Spicy Tomato Sauce (Bucatini all’Amatriciana)

Ingredients

• 3 tbsp. extra-virgin olive oil
• 4 oz. thinly sliced guanciale or pancetta, cut into 3/4" pieces
• Freshly cracked black pepper, to taste
• 2 cloves garlic, minced
• 1 small carrot, minced
• ¹⁄₂ medium onion, minced
• ¹⁄₂ tsp. crushed red chile flakes
• 1 (28-oz.) can peeled tomatoes, preferably San Marzano, undrained and puréed
• 1 lb. bucatini or spaghetti
• 1 ¹⁄₄ cups grated Pecorino Romano
• Kosher salt, to taste