Step 1

Pat the wings dry. In a large bowl, toss together the wings, garlic powder, salt and pepper until the seasonings are evenly distributed. Add the potato starch or cornstarch, and toss until the wings are evenly coated. Let sit at room temperature for at least 15 minutes to help the coating adhere.

Step 2

Meanwhile, add enough oil to a large, heavy-bottomed pot to come 2 inches up the sides and set it over medium-high heat. Heat until a deep-fry or instant-read thermometer registers 350 degrees. (If you don't have a thermometer, you can test the oil by adding a pinch of potato starch or cornstarch; the oil should be at the proper temperature when it quickly, but not too vigorously, sizzles.) Place a wire rack over a sheet pan or line a tray with layers of towels and set it near your work area.

Step 3

Give the wings another toss or two to refresh the starch coating, and working in two batches (see Note), shake off any excess starch from the wings, carefully add them to the oil. Fry, occasionally turning the wings with a spider to promote even cooking, and adjusting the heat as needed so that the oil doesn't drop below 325 degrees, until the wings are cooked through and have started to get crispy, about 12 minutes. (The bubbling will have quieted when they are ready.) Transfer the wings with a spider to the prepared wire rack or tray. Repeat with the remaining wings.

Step 4

Starting with the first batch, return them to the oil and fry until extra-crispy, 3 to 5 minutes. Using a spider, return the wings to the wire rack or tray. Repeat with the remaining wings and let the last batch rest for 2 minutes before saucing.

Step 5

While the wings are frying, in a small or medium saucepan over medium heat, combine the hot sauce and butter and cook until the butter has melted, about 2 minutes; whisk until combined.

Step 6

In a large bowl, toss the wings with the sauce until evenly coated. Transfer to a platter along with the dressing, carrot and/or celery sticks, if desired, and serve.