In a stand mixer bowl, combine the dry ingredients then add the water and olive oil. Mix with a dough hook until the dough comes together. Once combined, continue to knead in the mixer for 2-3 minutes or knead by hand for 5-6 minutes.
Place the dough into a large oiled bowl and cover. Let the dough rise until doubled, about 1 1/2 hours.
Punch the dough down to remove any air. Knead the dough onto a floured surface to remove any remaining air, divide the dough into six evenly sized pieces (we recommend a scale for this), and then form each piece into round dough balls.
Place the dough balls onto two large baking sheets, then cover the rolls with a damp cloth or plastic wrap and let them rise for another 45 minutes to an hour. About 30 minutes into the rising time, preheat the oven to 400 degrees F.
Whisk the egg and water together to make an egg wash.
Use a sharp knife to score an X into the top of each bun. You can also use scissors to snip an X. Brush the rolls with egg wash and bake for 25-30 minutes.
Let the bread rest for 15-20 minutes before cutting.