In a mini food processor, pulse the shallot, cilantro, ginger and jalapeño with the fish sauce until chopped. Transfer the mixture to a bowl and knead in the turkey. Using slightly moistened hands, form the meat into four 4-inch patties, about 3/4 inch thick.

Light a grill or preheat a grill pan. Brush the burgers with oil and grill over moderately high heat, turning once, until golden and crusty and just cooked through, 8 to 10 minutes.

In a small bowl, combine the mayonnaise with the Sriracha. Spread the mixture on the rolls. Top with the burgers, pickles, lettuce, mint and peanuts, close and serve.