1. Cook the pasta according to package directions, omitting salt and fat. Add haricots verts during the final 2 minutes of cooking. Drain and rinse pasta mixture under cold water; drain well.
2. Place the pasta mixture, pistachios, 1 tablespoon thyme, and 1 tablespoon lemon rind in a large bowl; toss gently to combine.
3. Combine remaining 1 tablespoon thyme, remaining 1 tablespoon lemon rind, shallots, Champagne or white wine vinegar, and garlic in a small bowl, stirring well with a whisk. Gradually add olive oil, stirring constantly with a whisk. Add salt and black pepper; stir with a whisk. Drizzle over pasta mixture, and toss gently to coat. Top each serving with Parmesan cheese.