How to Make It
Light a grill or preheat a grill pan. Brush the tomatoes with olive oil and grill over high heat, turning occasionally, until charred all over, 8 to 10 minutes. Transfer the tomatoes to a plate and let cool completely, then coarsely chop them.
In a medium skillet, toast the almonds over moderate heat, tossing, until golden, about 5 minutes. Transfer the nuts to a food processor and let cool completely. Add the capers, garlic and chiles and pulse until coarsely chopped. Add the tomatoes and the 2 tablespoons of olive oil and pulse to form a coarse puree; season the tomato pesto with salt and pepper.
In a large saucepan of salted boiling water, cook the pasta until al dente. Drain the pasta, reserving 1/2 cup of the cooking water.
In a large bowl, toss the pasta with the tomato pesto, mint, the 1/4 cup of grated cheese and the reserved cooking water; season with salt and pepper. Transfer the pasta to bowls and serve, passing additional cheese at the table.