Spring Minestrone

Name: Spring Minestrone
Ingredients: 1/2 lb red potatoes, skins on; 1 rib celery, chopped; 1/4 lb carrots, chopped; 4 scallions chopped (green & white parts); 1-2 cloves garlic, mashed; 2-3 Tbsp flat-leafed parsley, chopped; 4 leaves kale, stemmed and thinly sliced; 3 cups water or broth; 1/4 lb green beans, tipped and halved; 1/4 lb zucchini, sliced into rounds; 1 cup canned whole tomatoes, slightly mashed; 1/2 cup frozen peas; 2 cups white beans, cooked or canned; 1/3 cup orzo (optional); 3 Tbsp pesto or pesto paste; 1-2 Tbsp parmesan, freshly grated