Cook the pasta according to the package instructions. Drain and set aside.

In a bowl, whisk together milk and cornstarch until well combined.

Melt butter in a large saucepan or Dutch oven over medium heat. Slowly whisk in milk mixture and let it simmer until thickened, about 3 minutes, whisking constantly.

Stir in shredded cheese until melted and fully incorporated. Add cooked pasta to the cheese sauce and stir to combine. Season with salt and pepper to taste. Serve immediately.