This famous university founded in 1701 in killingsworth Connecticut was first called the collegiate school in 1745 the school moved to new haven Connecticut and was renamed. what is the name of the?

The famous university you're referring to is Yale University. It was founded in 1701 in Killingworth, Connecticut, originally called the Collegiate School, and moved to New Haven in 1716, where it was renamed Yale College in 1718. Yale has since grown into one of the most prestigious universities in the world.