Step 1

Preheat the oven to 375 degrees F.

Step 2

Trim and reserve the carrot tops. In a large bowl, toss the carrots with 2 tablespoons olive oil and the curry powder and salt. Arrange the carrots in a single layer on a baking sheet and roast until tender when pierced with the tip of a knife, 15 to 20 minutes. Sprinkle with the brown sugar and roast 2 to 3 minutes more. Remove and cool.

Step 3

In the food processor, pulse the walnuts a few times to break them up. Add the basil, carrot tops, honey, 3 tablespoons olive oil, a pinch of salt and 1/4 cup cold water. Pulse until combined but not completely smooth. If dry or too chunky, add another tablespoon olive oil or 1 to 2 tablespoons water to loosen. Transfer to a medium bowl. Taste for seasoning.

Step 4

Transfer the carrots to a serving platter. Stir the vinegar into the pesto and spoon the pesto over the roasted carrots.