I work in the field of number theory. My mathematical interests include elliptic curves, Iwasawa theory, special values of L-functions, and the Birch-Swinnerton-Dyer conjecture.
Publications
Non-commutative Iwasawa theory of abelian varieties over global function fields, with L-T. Deng, Y-X Li, M. F. Lim, Journal of the Australian Mathematical Society, to appear (2025) (arXiv)
Non-vanishing of central L-values of the Gross family of elliptic curves, with Y. Li, Journal of the London Mathematical Society, Volume 111, Issue 6 (2025)
(Journal, arXiv)
On central L-values and the growth of the 3-part of the Tate-Shafarevich group, International Journal of Number Theory, Volume 19, Number 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 (2022) 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, Volume 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, Volume 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, Volume 23, Number 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, Volume 164, Issue 1 (2018) pp. 67-98 (Journal, arXiv)
Other Writings
Gross 楕円曲線の二次ツイストの族の中心 L 値の非消滅について, Proceedings of WINJ2025 (2025) (Article (Japanese))
The 𝔐H(G)-Conjecture and Mazur's conjecture for Abelian Varieties over Global Function Fields, RIMS Kokyuroku "Arithmetic aspects of automorphic forms and automorphic representations" (2025) (Article)
Which numbers are sums of two cubes?, Proceedings of the Waseda University Number Theory Workshop 2022 (2023) (Article (Japanese))