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1
Preheat an oven to 375 degrees F.
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2
Put the peppers on a baking sheet, rub them with the canola oil and season with salt and black pepper, to taste.
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3
Roast until they are slightly charred and soft, turning several times, about 25 to 30 minutes.
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4
Transfer the peppers to a bowl, cover with plastic wrap and let them steam for 10 minutes.
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5
Remove the skins and seeds.
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6
Put the peppers, garlic, basil and pine nuts into the bowl of a food processor and pulse until coarsely chopped.
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7
With the motor running, slowly pour the olive oil through the feed tube and pulse to emulsify.
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8
Add the cheese and salt and pepper, to taste and pulse a few more times just to combine.
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9
Scrape the mixture into a bowl.
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10
For the pizza:
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11
Light a grill to high heat.
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12
Roll the pizza dough into 2 (12-inch) circles, brush the top with some canola oil, and season them with salt and black pepper, to taste.
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13
Put them on the grill, oiled side down, and grill until the bottoms are slightly charred and golden brown.
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14
Brush the tops with additional oil before flipping the pizzas over.
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15
Continue grilling until the crusts are just firm, about 40 seconds.
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16
Transfer the shells to a baking sheet, top each with some of the pesto, mozzarella and shaved Parmigiano and return them to the grill.
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17
Close the cover and grill until the cheese melts.
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18
Remove the pizzas from the grill and finish the pizza with some sliced red onion and handful of arugula.
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19
Slice and serve.
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20
Combine the bread flour, sugar, yeast and kosher salt in the bowl of a stand mixer and combine.
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21
While the mixer is running, add the water and 2 tablespoons of the oil and beat until the dough forms into a ball.
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22
If the dough is sticky, add additional flour, 1 tablespoon at a time, until the dough comes together in a solid ball.
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23
If the dough is too dry, add additional water, 1 tablespoon at a time.
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24
Scrape the dough onto a lightly floured surface and gently knead into a smooth, firm ball.
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25
Grease a large bowl with the remaining 2 teaspoons olive oil, add the dough, cover the bowl with plastic wrap and put it in a warm area to let it double in size, about 1 hour.
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26
Turn the dough out onto a lightly floured surface and divide it into 2 equal pieces.
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27
Cover each with a clean kitchen towel or plastic wrap and let them rest for 10 minutes.