Preheat oven 400 degrees
Drain and rinse black beans and place in a medium bowl
Drain and rinse corn and add to bowl
Add rice, egg, onion, garlic, jalapeno, paprika, chili powder, and salt and pepper to the bowl
Use masher to combine all the ingredients until beans and rice are completly mashed into the other ingredients
Add gluten-free breadcrumbs to mixture (add more for thicker burgers)
Use a spoon to combine breadcrumbs with mashed bean mixture
(optional) let mixture stand for 30 minutes to an hour
Divide the mixture into four to six sections and form into patties
Heat a cast iron skillet with olive oil and sear burgers on high heat to sear for 3 minutes on each side
Place cast-iron skillet into the preheated oven for 10 minutes
Optional - place cheese on burger and place back in oven until cheese melts