Step 1

Adjust oven rack to 4 inches below broiler and preheat broiler to high. In a large bowl, whisk together eggs and milk or half and half until fully combined. Stir in half of cheese and season with salt and pepper. Set aside.

Step 2

Heat oil in a 10-inch oven-safe nonstick or well-seasoned cast iron or carbon steel skillet over medium-high heat until shimmering. Add bacon and cook until light brown but not crisp, about 4 minutes. Transfer to a paper towel–lined plate and remove all but 1 tablespoon bacon fat from pan.

Step 3

Add corn, scallions, and jalapeño to skillet and cook, stirring occasionally, until just tender, about 4 minutes. Season to taste with salt and pepper.

Step 4

Pour eggs into skillet and cook, stirring and scraping pan all over, until very loose curds form throughout, about 2 minutes. Continue to cook until eggs on bottom and edges are set, about 2 minutes. Top with remaining cheese, bacon, and a few jalapeño slices for decoration, if using.

Step 5

Place under broiler and broil until top is just set and a pale golden brown, a few minutes. Serve immediately.