Spiced Beef Corn Bread Cobbler

1 medium onion, chopped
4 tablespoons vegetable oil
2 garlic cloves, finely chopped
1 lb ground beef chuck
1 teaspoon sugar
1/2 teaspoon ground cinnamon
1/2 teaspoon cayenne
1/4 teaspoon ground allspice
1/4 teaspoon black pepper
3/4 teaspoon ground ginger
1 1/4 teaspoons salt
1 (14- to 15-oz) can diced tomatoes in juice
2/3 cup yellow cornmeal
1/3 cup all-purpose flour
1 teaspoon baking powder
1/3 cup whole milk
1 large egg
2 oz coarsely grated sharp Cheddar (1/2 cup plus 2 tablespoons)

Put oven rack in middle position and preheat oven to 400°F. Lightly oil a 9 1/2-inch (6-cup capacity) pie plate.

Cook onion in 2 tablespoons oil in a deep 10-inch heavy skillet over moderate heat, stirring occasionally, until edges are golden, 3 to 4 minutes. Add garlic and cook, stirring, 1 minute. Add beef and cook, breaking up large lumps, until no longer pink, 4 to 5 minutes. Add sugar, spices, and 1 teaspoon salt and cook, stirring, 1 minute. Add tomatoes with juice and briskly simmer, stirring occasionally, until liquid is reduced to about 1/4 cup, 8 to 10 minutes.

While beef simmers, whisk together cornmeal, flour, baking powder, and remaining 1/4 teaspoon salt in a medium bowl. Whisk together milk, egg, and remaining 2 tablespoons oil in a small bowl, then stir into cornmeal mixture until just combined. Fold in 1/2 cup cheese.

Spoon cooked spiced beef into pie plate with a slotted spoon, reserving juices in skillet. Skim off and discard fat from juices if desired, then pour juices over beef in pie plate.

Spoon 4 mounds of corn bread batter over beef, then sprinkle remaining 2 tablespoons cheese over batter. Bake until a wooden pick or skewer inserted into center of corn bread comes out clean, 15 to 25 minutes.

Serve cobbler warm.

Makes 4 (main course) servings.