For the pasta: Bring a large pot of salted water to a boil over high heat. Add the pasta and cook until tender but still firm to the bite, stirring occasionally, 8 to 10 minutes. Drain and transfer to a serving bowl. Add the cheese and toss until coated.
For the sauce: Combine the mint, cheese, oil, chile and garlic in a food processor. Blend until smooth.
Add the sauce to the pasta and toss until coated.