1. Cook asparagus and 2 teaspoons salt in boiling water 2 minutes or until crisp-tender. Drain and rinse asparagus under cold water; drain.
2. Combine remaining 1/4 teaspoon salt, shallots, and next 4 ingredients (through pepper) in a small bowl, stirring with a whisk. Stir in 1/4 cup cheese.
3. Combine asparagus and greens in a large bowl. Drizzle with dressing; toss gently to coat. Sprinkle with remaining 1/4 cup cheese.