Add yeast to warm water and set aside for 3 minutes. In a mixer, combine flour, salt, sugar, and olive oil. Add the yeast mixture. Mix on medium speed until combined, then mix on low for 10 minutes. Oil 2 bowls, divide dough into 2 balls, place in bowls, cover with plastic wrap, and let rise in a warm place.

Heat olive oil, add onion and garlic, cook until soft. Add tomatoes, oregano, and red wine, simmer for 10 minutes.

Preheat oven to 475°F with a pizza stone inside. Roll out dough on a floured surface to a 10-inch circle. Top with sauce and cheese. Slide onto the pizza stone and bake for 20 minutes, rotating halfway.