Carrots with Almond Purée

Name: Carrots with Almond Purée
Ingredients: 1/2 cup whole blanched almonds; 1/4 cup olive oil; 1/4 teaspoon white wine vinegar; Pinch of sugar; Kosher salt; 1/2 cup white wine vinegar; 2 tablespoons sugar; 1 teaspoon coriander seeds; 1/2 teaspoon kosher salt; 1/4 teaspoon crushed red pepper flakes; 4 small carrots, scrubbed, 2 thinly sliced lengthwise, 2 thinly sliced crosswise; 2 tablespoons olive oil; 12 small carrots, scrubbed; 2 garlic cloves, crushed; 1 tablespoon unsalted butter; Kosher salt, freshly ground pepper; 1 tablespoon fresh cilantro leaves; 1 tablespoon fresh mint leaves; 2 teaspoons toasted sesame seeds