Combine the balsamic vinegar and brown sugar together in a small saucepan to make a balsamic glaze. Bring to a low simmer. You are looking for consistent small bubbles. Once it starts simmering, simmer for 5 minutes, stirring occasionally or until it reduces by half. The sauce will thicken quite a bit as it cools, so you might consider making this in advance.
1/2 cup balsamic vinegar, 2 tablespoons brown sugar
Preheat your oven to 400 degrees Fahrenheit. Place a pizza stone in the oven while the oven preheats (see note 2). Roll out the pizza dough to make a 12-inch crust. Carefully transfer it to the preheated pizza stone. I like to do this by rolling it onto a rolling pin and using that to transfer it. Cover with mozzarella and bake for 10 minutes or until the cheese is bubbly and the crust is golden brown.
1 pizza dough recipe, 2 cups mozzarella
While the pizza is cooking, combine the tomatoes with salt. I like to do this in a colander over a bowl so excess water can drain from the tomatoes. Then combine the tomatoes with the basil and garlic.
3/4 pound fresh tomatoes, 1/4 cup fresh basil leaves, 2 garlic cloves, 1/2 teaspoon kosher salt, dash freshly ground black pepper
Remove the pizza crust from the oven, and top with the tomato mixture. Then lightly drizzle with the balsamic glaze and Parmesan cheese if desired.
Parmesan cheese