I study Number theory and Arithmetic Geometry. In the research of Number
thoery, we study not only properties of integers and rational numbers, but
every kinds of problems related to integers. For example, we are very much
interested in rational points of algebraic varieties defined over the field
of rational numbers. Number theory has a long history and we had a great
progress, which is typical in the proof of Fermat's conjecture by Wiles and
the proof of Mordell's conjecture by Faltings in 20th century.
At the beginning of my career, my subject of research was the study of
the l-adic etale cohomology of varieties over local fields. More recently,
I am interested in the study of special values of zeta functions via the
philosophy of Iwasawa theory.
Precisely speaking, my project is to study Iwasawa theory from the view
Galois deformations. I think that Number theory is full of surprise as we
see a lot of unexpected relations between different kinds of objects.