KEZUKA, Yukako

Title
Associate Professor
Field
Number Theory
Research interests
Elliptic curves, Iwasawa theory, Birch and Swinnerton-Dyer conjecture.
Current research

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.

Selected publications
  1. 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, Volume 120, Issue 2 (2026), pp. 183-217.
  2. Non-vanishing of central L-values of the Gross family of elliptic curves, with Y. Li, Journal of the London Mathematical Society 111 (2025), no. 6.
  3. 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 25 (2020), pp. 2115-2147.
  4. 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.
  5. 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 164 (2018), no. 1, pp. 67-98.

Memberships, activities and

Awards

The Mathematical Society of Japan

Marie Skłodowska-Curie Actions Individual Fellowship (2022)

Smith-Knight Prize (2014)

Research Council Award (2012)