Kuroda was born into a prominent family of mathematicians in Japan. His grandfather, Teiji Takagi, studied under David Hilbert. Kuroda himself received degrees in mathematics and linguistics from the University of Tokyo. In 1962, he entered MIT with the first graduating class from the new Department of Linguistics, where he wrote his seminal dissertation, Generative Studies in the Japanese Language (1965) under Chomsky's supervision.
"Whether We Agree or Not : A Comparative Syntax of English and Japanese", in: William J. Poster (ed.) Papers from the Second International Workshop on Japanese Syntax, 103–142. Stanford, CA: CSLI Publications, 1988.