White Pizza with Shaved Vegetables and Pesto

Ingredients

• 1/4 cup torn basil
• 1/3 cup unsalted, roasted pistachios, coarsely chopped
• 1/2 cup watercress
• 1/2 cup frozen sweet peas, thawed
• 2 small leeks, whites and pale-green parts cut into half moons, very thinly sliced
• 1 medium zucchini , trimmed, thinly shaved with a vegetable peeler
• 1/4 cup homemade or store-bought pesto
• 1/2 cup whole-milk ricotta
• 1 garlic clove, finely chopped
• 1/2 cup shredded low-moisture mozzarella
• 16 ounces prepared pizza dough, room temperature
• 4 ounces asparagus, trimmed, thinly shaved with a vegetable peeler
• 1/2 teaspoon kosher salt
• 1/2 teaspoon finely grated lemon zest
• 1.5 ounces Pecorino, shaved into curls with a vegetable peeler
• 2 tablespoons plus 1 teaspoon olive oil, divided, plus more for pan