To make the dough: To make the dough: Add yeast, cane sugar, ¼ cup water and let sit for 5 minutes or until bubbly. Add flour, salt, remaining ½ cup plus 1 tablespoon water and olive oil and mix with your hands until it comes together. No need to knead it or make it really smooth.
Cover with plastic wrap and let rise for 24 to 30 hours at room temperature. Move to the fridge and use within 7 days.
Preheat the oven to 550°F and place pizza stone inside. Or, alternatively line a baking sheet with parchment paper if not using pizza stone.
Divide pizza dough into two portions. On a floured surface, roll out or use your hands and stretch the pizza dough. Generously flour your pizza peel. Or alternatively, if using the baking sheet, grease the parchment paper very well with olive oil and a sprinkle of flour.
Place pizza dough on pizza peel or baking sheet. Top with sauce going all the way to the edges edges (trust me here, as it bakes in!). Top with cheese and tomatoes.
Bake for 10 to 12 minutes, or until the cheese is bubbly and lightly browned. Remove from oven and allow to rest for a few minutes. Top with fresh fresh basil and grated parmesan.