Cook pasta according to package directions, omitting any oil or salt and adding broccoli and asparagus or green beans the last 3 minutes of cooking; drain.
Meanwhile, place a fine strainer over a large bowl. Cut tomatoes in half; squeeze seeds and juice into strainer. With the back of a spoon, press on seeds to extract juice; discard seeds, reserving tomatoes.
Add ricotta cheese, basil, thyme, vinegar, oil, garlic, salt, and pepper to tomato juice in bowl; mix well. Chop reserved tomatoes; stir into ricotta mixture. Add hot cooked pasta and vegetables to ricotta mixture. Toss to combine. Sprinkle each serving with Parmesan cheese; serve immediately. Makes 4 main-dish servings.