Shin, HATTORI:COE Research Fellow,Algebra
- torsion Galois representation, finite flat group scheme, integral $p$-adic Hodge theory, ramification theory, modular form
- Research Interest:
- number theory, arithmetic algebraic geometry
- Research Activities:
- I am interested in torsion Galois representations of local fields of higher absolute ramification index. Such representations often can not be fully controlled by the integral $p$-adic Hodge theory or $(\phi, \Gamma)$-theory. I study those representations by using a ramification-theoretic method. I am also interested in the Galois representions associated to Hilbert modular forms, Serre conjecture and Fontaine-Mazur conjecture.