I work in the field of algebraic number theory. My mathematical interests include the Birch-Swinnerton-Dyer conjecture, Iwasawa theory, class numbers, Euler systems and the Tamagawa Number Conjecture of Bloch and Kato.
Publications
Non-vanishing of central L-values of the Gross family of elliptic curve, with Y. Li (Preprint)
On central L-values and the growth of the 3-part of the Tate-Shafarevich group, International Journal of Number Theory, Vol. 19, No. 04, pp. 785-802 (2023) (Journal, arXiv)
Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve, Journal de Théorie des Nombres de Bordeaux, Tome 33, No. 3.2 (2021) pp. 945-970. (Journal, arXiv)
A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial, with Y. Li. Documenta Mathematica, Vol. 25 (2020) pp. 2115-2147 (Journal, arXiv)
On the main conjecture of Iwasawa theory for certain non-cyclotomic Zp-extensions, Journal of the London Mathematical Society, Vol. 100, Issue 1 (2019) pp. 107-136 (Journal, arXiv)
Analogues of Iwasawa's μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic Z2-extension, with J. Choi, Y. Li, Asian Journal of Mathematics, Vol. 23, No. 3 (2019) pp. 383-400 (Journal, arXiv)
On the p-part of the Birch-Swinnerton-Dyer Conjecture for elliptic curves with complex multiplication by the ring of integers of Q(√-3), Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 164, Issue 1 (2018) pp. 67-98 (Journal, arXiv)
Other Writings
Which numbers are sums of two cubes?, Proceedings of the Waseda Number Theory Workshop 2022 (Article (Japanese))