MORITA, Kazuma

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

My research interest is Number Theory. I have studied the p-adic aspects of this theory (called p-adic Hodge theory). In particular, by using the p-adic differential operators, I proved the p-adic 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.

・On the topololgical aspects of arithmetic elliptic curves (submitted)

・Generalization of the theory of mixed Hodge structures and its application (submitted)

・Hodge-Tate 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 p-adic field via (Phi,Gamma)-modules in the imperfect residue field case (J. Math. Sci. Univ. Tokyo 15 (2008), no. 2, 219–241.)

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