Finely chop the shrimp, and add to a large mixing bowl with the celery, scallions, and lemon zest.
Add the mayonnaise and cornbread crumbs, stirring to combine.
Season with salt, pepper, and tabasco to taste; mix well.
Add the egg and stir until well incorporated; the mixture should just barely hold together. Form 8 4-inch burgers.
Cook the burgers in the oil, in a large skillet over medium-high heat, about 3-4 minutes on each side, or until lightly browned.
Notes
I chopped the shrimp by hand and the burgers were a bit chunky and fell apart more than I wanted. The recipe suggests pulsing half the shrimp in a food processor to vary the texture, and I think this might help them hold together.
Recipe by Sprung At Last at https://sprungatlast.com/2013/11/hominy-grill-shrimp-burgers-2/