Cook pasta according to package directions. Meanwhile, in a large skillet, cook beef and onion over medium heat until meat is no longer pink; drain. Add carrots and celery; cook and stir for 5 minutes or until vegetables are crisp-tender. Add garlic; cook 1 minute longer.
Stir in the potatoes, corn, tomato sauce, salt and pepper; heat through. Drain pasta and add to skillet; toss to coat. Sprinkle with cheese. Cover and cook until cheese is melted.