Cook pasta according to package directions, omitting salt and fat.
While pasta is cooking, heat oil in a large saucepan over medium-high heat. Add garlic; cook 3 minutes. Add broth, crushed red pepper, and tomatoes; bring to a boil. Reduce heat, and simmer for 6 minutes, stirring occasionally. Remove from heat; stir in spinach.
Drain pasta, and place in a large bowl. Add tomato mixture, and toss well. Serve with cheese and basil.