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メール: ishii(dot)shun(at)keio(dot)jp
専門: 整数論
最近は曲線の(エタール)基本群への数体・局所体の Galois 群の作用に関する問題を研究しています. また, 過去に研究を実施した話題として
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Abel 多様体に関する Rasmussen-玉川予想
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Drinfeld 加群の(有理)ねじれ点
などがあります.
論文(査読有)
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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 (journal) (arXiv).
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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).
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The p-primary Uniform Boundedness Conjecture for Drinfeld Modules, International Journal of Number Theory, Vol. 20, No. 05, 1233-1263, 2024 (journal) (RIMS Preprints).
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Drinfeld 加群の p 冪ねじれ点に対する普遍上界予想について (サーベイ記事), accepted for publication in RIMS Kokyuroku Bessatsu.
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On isogeny characters of Drinfeld modules of rank two, Mathematische Zeitschrift, 301, 455–470, 2022, (journal) (RIMS Preprints).
プレプリント等
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On the kernels of the pro-p outer Galois representations associated to once-punctured CM elliptic curves, submitted (arXiv).
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On the Rasmussen-Tamagawa conjecture for abelian fivefolds, submitted (arXiv).
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A note on two-torsions in the outer automorphism groups of absolute Galois groups of mixed-characteristic local fields, available upon request.
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On the structure of graded Lie algebras associated to once-punctured elliptic curves with complex multiplication, in preparation.