1

Cook the pasta according to package directions, adding the broccoli and red pepper during the last 6 minutes.

2

Meanwhile, heat 1 tablespoon of the oil in a 10-inch skillet over moderate heat for 1 minute. Add the walnuts and sauté, stirring often, for 2 to 3 minutes or until lightly browned. Remove from the heat and stir in the remaining oil and the basil, sugar, salt, vinegar, and lemon juice. Set aside. When the pasta is firm-tender, add the scallions to the boiling water, then remove from the heat and drain well.

3

Transfer the pasta and vegetables to a large bowl, add the walnut mixture, and toss to mix. Scatter the cheese evenly over all. Serve warm or at room temperature.