I am Shun ISHII, a JSPS research fellow at Keio University, working with Prof. Kenichi Bannai. Before coming to Keio, I was a doctoral course student at Kyoto university under the supervision of Prof. Akio Tamagawa.

• CV

• Talks

email address: ishii(dot)shun(at)keio(dot)jp

Research Area: Number Theory.

Keywords: once-punctured elliptic curves, arithmetic fundamental groups, anabelian geometry, etc.

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Papers

• On the factorization of certain Kummer characters arising from once-punctured elliptic curves with complex multiplication (with Yuki Goto), accepted for publication in International Journal of Number Theory (arXiv).

• On Kummer characters arising from Galois actions on the pro-p fundamental groups of once-punctured CM elliptic curves, Research in Number Theory, Vol. 11, article number 38, 2025 (journal) (arXiv).

• The p-primary Uniform Boundedness Conjecture for Drinfeld Modules, International Journal of Number Theory, Vol. 20, No. 05, 1233-1263, 2024 (journal) (RIMS Preprints).

• Drinfeld 加群の p 冪ねじれ点に対する普遍上界予想について (survey article, written in Japanese), accepted for publication in RIMS Kokyuroku Bessatsu.

• On isogeny characters of Drinfeld modules of rank two, Mathematische Zeitschrift, 301, 455–470, 2022, (journal) (RIMS Preprints).

Preprints

• On the kernels of the pro-p outer Galois representations associated to once-punctured CM elliptic curves, in revision (arXiv).

Personal notes

• On p-adic valuation of B_{p, \chi} (in Japanese).