MORITA, Kazuma
 Research Field
 Algebra
 Position
 Assistant Professor
 Organization
 Department of Mathematics
 Research Interest
 Arithmetic Geometry
 Research Activities

My research interest is Number Theory. I have studied the padic aspects of this theory (called padic Hodge theory). In particular, by using the padic differential operators, I proved the padic monodromy conjecture of Fontaine in the relative case. The method of the proof is a strange one and I am proud of this petty method.
Recently, however, I am hoping that I can prove the problems in a more dignified way, possibly from a grander perspective.
 Papers:
 ・On the topololgical aspects of arithmetic elliptic curves (submitted)
 ・Generalization of the theory of mixed Hodge structures and its application (submitted)
 ・HodgeTate and de Rham representations in the imperfect residue field case (Ann. Sci. Éc. Norm. Supér. (4) 43 (2010), no. 2, 341–356)
 ・Galois cohomology of a padic field via (Phi,Gamma)modules in the imperfect residue field case (J. Math. Sci. Univ. Tokyo 15 (2008), no. 2, 219–241.)
 Keywords
 padic differential equation, padic Hodge theory, padic representation