Heat oil in a large cast iron skillet over high heat until shimmering. Add corn kernels, in batches if necessary. Stir briefly; sprinkle lightly with salt and pepper. Cook, without stirring, until corn is slightly charred, about 2 minutes. Stir once and cook for 1 minute more. Remove from heat and set aside.
Mix shallot, mayonnaise, and chile-lime seasoning together in a large bowl. Stir in the corn and jalapeno until well coated in dressing. Stir in 1/2 of the cilantro and Cotija cheese. Taste and season as desired. Top with the remaining cilantro. Serve each portion with a lime wedge.
