Cook the pasta as the label directs. Drain and toss with 1 teaspoon olive oil to prevent sticking; let cool.
In a large bowl, toss the cooled pasta with the corn, edamame, bell pepper and carrots. Drizzle with the remaining 3 tablespoons olive oil and toss to coat. Add the parmesan and 1/4 teaspoon salt; toss again and season to taste.