Step 1

Preheat the oven to 400 degrees F. Roll out the puff pastry on a lightly floured surface into a 10-by-12-inch rectangle. Transfer to a baking sheet; use a paring knife to score a 1/2-inch border around the edges. Poke all over with a fork inside the border. Transfer to the oven and bake until deep golden brown, about 20 minutes. Transfer to a rack; gently press down the middle if puffed. Let the crust cool completely.

Step 2

Meanwhile, working with one type of vegetable at a time, drizzle with olive oil, season with kosher salt and pepper and gently toss in a large bowl. Spread out on parchment paper-lined baking sheets, leaving space between the vegetables so they don't steam. Roast until just tender, about 15 minutes.

Step 3

Pulse the goat cheese, pea shoots and lemon zest and juice in a food processor until pale green and mostly smooth. Transfer to a bowl; stir in the creme fraeche, 1/4 teaspoon kosher salt and a few grinds of pepper.

Step 4

Spread the goat cheese mixture on the crust, inside the border. Arrange the vegetables on the tart (they can be warm or room temperature). Sprinkle with coarse sea salt.