1. Preheat the oven to 350°. On a rimmed baking sheet, toast the pistachios until fragrant and lightly toasted, 5 to 6 minutes. Transfer to a large plate and cool, then coarsely grind in a food processor. Transfer the ground pistachios to a bowl and set aside

2. Meanwhile, bring a large pot of water to a boil. Add some kosher salt and the pasta and cook until almost al dente, about 8 minutes. When the pasta is almost finished, add the broccoli to the pot and cook for 2 minutes more or until the pasta is al dente and the broccoli is tender. Reserve 1 cup of the pasta water and drain the pasta and broccoli through a large colander.

3. In the same food processor, combine the garlic, lemon zest, red pepper flakes and kosher salt and grind into a fine paste. Add the parsley and mint and pulse to make a rough paste. With the motor running, slowly drizzle in the olive oil. Transfer to a medium saucepan and stir in the ground pistachios.

4. Add the pasta water to the pesto; bring to a boil and simmer for 2 minutes.

5. In a large bowl, combine the pasta, broccoli and pesto. Stir in the lemon juice and set aside for 5 minutes. To serve, divide the pasta among plates or bowls and garnish with the grated cheese, chives, sea salt and fennel pollen, if using.