Preheat broiler to high.
In the food processor, combine chickpeas, tahini, garlic, lemon juice, salt, freshly ground black pepper and EVOO, and puree until smooth.
Transfer the hummus to a bowl, add the spinach, artichokes, 1/4 cup of the grated cheese and mix to combine.
Sprinkle the remaining grated Parmigiano-Reggiano or Asiago cheese on the baguette slices and toast them under the broiler until the cheese is golden and melted. Serve the hummus with the cheesy toasts alongside.