PD

・Naoto Dainobu

Papers
1. Ideal class groups of number fields and Bloch- Kato's Tate- Shafarevich groups for symmetric powers of elliptic curves, Tokyo Journal of Matematics 45-2, (2022), 501-518.

2. On an explicit reciprocity law in local class field theory via (φ, Γ)- modules

3. Ideal class groups of number fields associated to modular Galois representations

4. Ideal class groups of division fields of elliptic curves and everywhere unramified rational points, arXiv2304. 05035

5. Elliptic analogue of irregular prime numbers for the p^{n}-division fields of the curves y^2=x^3-(s^4+t^2)x, arXiv2205.08946

Current Ph.D Students

・Takumi Yoshida

Papers
1. On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of Q( √ −7)

2. The relationship between face cuboids and elliptic curves

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