Heat olive oil in a large pan or dutch oven over medium heat. Add shallot, grated garlic, and crushed red pepper. Cook and sweat until fragrant 3-4 minutes (do not brown).
Add tomato paste, season with salt and pepper, and cook until dark red and caramelized, about 5 minutes.
Add vodka to deglaze the pot and cook for 1-2 minutes until the alcohol has cooked off. Add cream and mix to combine.
Salt pasta water and cook pasta to al dente. Immediately add to sauce.
Add pasta water as necessary, parmesan, butter and fresh basil and mix over low heat. Serve immediately with more parmesan and enjoy!