In a large skillet, heat some oil over medium heat.
Add the chopped onion, carrot, and celery; sauté until softened.
Stir in the minced garlic and cook for another minute.
Increase the heat to high and add the ground beef, cooking until browned.
Add the crushed tomatoes and tomato paste, stirring to combine.
Season with oregano, basil, salt, and pepper; simmer for 20-30 minutes.
Meanwhile, cook the pasta according to package instructions in salted water.
Drain the pasta and add it directly into the sauce, tossing until well coated.
Serve hot, topped with grated Parmesan cheese.