In a small mixing bowl, whisk the warm water, yeast, and sugar together. Place in a warm place for 10 minutes, or until yeast is foamy.
2. Step
In a large mixing bowl, whisk together the flour and salt.
3. Step
Make a well in the center of the dry ingredients and add the yeast mixture and olive oil. Stir the wet ingredients into the dry ingredients until the dough comes together and becomes difficult to stir.
4. Step
Turn the dough out onto a lightly floured surface and knead until the dough is smooth, about 5 minutes. Add small amounts of flour as necessary to prevent sticking.
5. Step
Transfer the dough to a large bowl coated with olive oil. Cover with a towel and let rise in a warm place for 1-2 hours, until the dough has doubled in size.
6. Step
Once the dough has doubled in size, remove the towel and punch the dough down. Turn out onto a lightly floured surface and divide the dough into 6-8 pieces, and shape each into a small ball.
7. Step
Place the formed balls onto a baking sheet and rest, covered, for 15 minutes.
8. Step
To shape the individual pizzas, press out the dough balls onto a lightly floured surface. Create a slightly thicker rim around the outside of the dough and continue to stretch into a 9- to 10-inch (23-25 cm) round.
9. Step
Heat a large cast-iron pan over medium heat, until the pan just begins to smoke, about 5 minutes.
10. Step
Carefully transfer a stretched pizza round onto the hot pan. Leave to cook for 2-3 minutes (the dough should begin bubbling up) until lightly tanned with a few dark spots. Flip and continue to cook on the other side for 1-2 minutes longer, until the crust is completely dry.
11. Step
Remove the dough to rest on a wire rack and repeat with remaining dough.
12. Step
To finish the pizzas, top each crust with tomato sauce and fresh mozzarella.
13. Step
Transfer to the oven and broil for 7 or 8 minutes, until the cheese has melted and the crust has developed a nice char in spots. Watch closely and move to a lower rack if necessary.
14. Step
Finish each pizza with fresh basil, a drizzle of olive oil, and a sprinkle of salt.
