Shun Ishii

RIMS, Kyoto University / Researcher

English / 日本語

Publications

  1. On the Rasmussen-Tamagawa conjecture for abelian fivefolds
    accepted for publication in Mathematical Research Letters, 2026. arXiv: 2510.14306
  2. On the factorization of certain Kummer characters arising from once-punctured elliptic curves with complex multiplication (joint work with Yuki Goto)
  3. On Kummer characters arising from Galois actions on the pro-p fundamental groups of once-punctured CM elliptic curves
    Research in Number Theory, Volume 11, article number 38, pp. 1-30, 2025. arXiv: 2312.04175
  4. The 𝔭-primary Uniform Boundedness Conjecture for Drinfeld Modules
  5. On isogeny characters of Drinfeld modules of rank two

Preprints

  1. A CM Elliptic Analogue of the Coleman-Ihara Formula (joint work with Yuki Goto)
    submitted, 2026.
  2. A note on two-torsions in the outer automorphism groups of absolute Galois groups of mixed-characteristic local fields
    Note: the paper has been withdrawn due to a crucial error in a reference. See this note .
  3. On graded Lie algebras associated to once-punctured elliptic curves with complex multiplication
    19 pages, in revision, 2026. arXiv: 2602.00615
  4. On the kernels of the pro-p outer Galois representations associated to once-punctured CM elliptic curves
    30 pages, submitted, 2023. arXiv: 2312.04196

Proceedings

  1. Drinfeld 加群の𝔭冪ねじれ点に対する普遍上界予想について
    数理解析研究所講究録別冊 に論文受理済(査読有).
  2. 一点抜きCM楕円曲線に付随する副p外Galois表現の核について

Others

  1. Note on the last portion of Chapter 7 of Neukirch-Schmidt-Wingberg
    Also check the errata of NSW.
  2. Note on Gross's factorization theorem for Katz's two-variable p-adic L-function
  3. On certain bases of finite fields and their application to rational points on Drinfeld modular curves
    This note provides a partial solution to my old conjecture concerning Drinfeld modular curves.