Combine all ingredients in a blender or food processor and process until smooth.

Combine warm water, sugar and yeast in the bowl of a stand mixer fitted with the paddle attachment; let stand 10 minutes.

Stir in oil and salt, then add 2 cups of the flour and beat on medium speed until smooth. Switch to dough hook, and beat in another 2 cups of flour. Knead the dough on low speed for 10 minutes, adding remaining 1 cup of flour as needed - your dough has enough flour when it sticks to the bottom of the bowl but releases from the sides.

Remove the dough from the stand mixer and oil the bowl generously (no need to clean it); place the dough in the bowl, turning it around to coat on all sides with oil. Cover with a clean towel and put in a warm spot to rise for 1 1/2 hours (an oven with just the light turned on works perfectly).

Punch down the dough and divide in 2 even balls. Let rest 30 minutes (or wrap tightly in plastic wrap and refrigerate up to 1 day, or freeze up to 3 months - either way, bring to room temperature before proceeding).

While the dough rests, place a baking stone or baking sheet on the bottom rack and preheat oven to 450ºF for 30 minutes. Prepare all your toppings while you wait, so that you can work quickly in the next step.

Roll out first ball of dough on a sheet of floured parchment paper. Remove heated baking stone or sheet from the oven, and place dough on top, parchment and all. Working quickly, top dough with half the curry sauce, half the mozzarella, half the chicken, and remaining toppings. Bake on bottom rack for 10-15 minutes, until crust is golden and cheese is bubbly. Top with cilantro, if desired, and repeat with remaining pizza. Serve with chutney.