#### Kurano Laboratory

My research area is Commutative Ring Theory, that is a branch of algebra. The most important commutative rings are “the ring of integers”, that is treated in Number Theory, and “Polynomial Ring over a Field”, that is treated in Algebraic Geometry. My area is the interface between ring theory and Algebraic geometry, Algebraic K-theory. The relation between Commutative Ring Theory and Algebraic Geometry is very interesting. We can describe the geometric phenomena in terms of algebraic languages, and interpret algebraic property to geometry. Many students in Kurano’s laboratory want to be teachers of junior high schools or high schools. Students in Kurano’s laboratory study Galois theory or elementary number theory. Students who want to enter graduated courses also study fundamental commutative ring theory.