Place the pea shoots, mint, and radish slices in large serving bowl. Run a vegetable peeler down the length of the carrots, shaving off long ribbons into the bowl and toss with the greens. Use a vegetable peeler to shave thin pieces of Parmesan over the top.
Vinaigrette
Whisk the vinaigrette ingredients together in a small bowl or shake in a container with a tight lid. Drizzle over the salad when it is time to serve. Season with additional salt and pepper as desired.