Prepare the blistered tomatoes:
Preheat the broiler to high.
In a small oven-safe skillet or dish, combine the cherry tomatoes, olive oil, and sliced garlic. Season with a pinch of salt and toss to coat.
Transfer to the broiler and broil for 10-15 minutes, checking every 5 minutes. If tomatoes blister too quickly, lower the oven rack.
Remove from the oven once the tomatoes are soft, blistered, and jammy. Stir in fresh basil.
Make the fresh corn polenta:
Remove husks and silk from the corn. Over a large bowl, grate the kernels using the coarse side of a box grater. This will create a wet, pulpy mixture.
In a small saucepan, melt butter over medium heat. Add the grated corn and season with salt.
Reduce heat to low and simmer, stirring constantly, for about 3 minutes, until the mixture thickens slightly.
Assemble and serve:
Spoon the warm corn polenta into a serving bowl.
Top with the blistered tomatoes and garnish with grated Parmigiano Reggiano and fresh black pepper.
Enjoy immediately!