Roast the corn kernels in a hot cast iron skillet with olive oil for 7 minutes until heavily charred. Let them cool completely.
Boil the dry pasta in heavily salted water until al dente. Drain and rinse thoroughly with cold water to stop the cooking.
Whisk the mayonnaise, sour cream, lime juice, chili powder, smoked paprika, and salt together in a large mixing bowl.
Toss the cold pasta in the creamy dressing until fully coated.
Fold in the cooled charred corn, red onion, cilantro, and cotija cheese. Chill in the refrigerator for at least two hours before serving.