Bring a large pot of salted water to a boil and cook your pasta until al dente. Drain and set aside.
While the pasta cooks, heat the olive oil in a large skillet over medium heat until shimmering and fragrant.
Add the minced garlic to the skillet and sauté for about 30 seconds until it releases a fragrant aroma, being careful not to brown it.
Pour in the diced tomatoes and stir, allowing them to soften and release their juices for about 5 minutes, creating a bubbling, fragrant sauce.
Stir in the sliced olives and rinsed capers, cooking for another 2-3 minutes until they soften and release their deep, briny aroma.
Sprinkle in the red chili flakes, stirring well to distribute the heat, and simmer gently for another 2 minutes to meld the flavors.
Combine the cooked pasta with the sauce, tossing gently to coat all the noodles evenly with the briny, glossy sauce.
Remove from heat, drizzle with a little extra olive oil if desired, and serve immediately for a vibrant, flavorful meal.