Shin, HATTORI:COE Research Fellow,Algebra

Keyword(s):
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.
WebPage:
http://www.math.sci.hokudai.ac.jp/~shin-h