Preheat the oven to 375 degrees F. Next, make the glaze by whisking together all of the ingredients, except the carrots, in a cast iron skillet or baking dish. Add the carrots and toss them in the glaze until they are evenly coated. Roast for about 35 minutes, removing them halfway through to toss the mixture around to ensure the glaze is well incorporated into the carrots. Remove the dish from oven once the desired texture is achieved.