日本語のページはこちら.
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.
email address: ishii(dot)shun(at)keio(dot)jp
Research area: Number theory.
I am interested in solving several problems arising from Galois actions on fundamental groups.
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 (journal) (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).
-
On the Rasmussen-Tamagawa conjecture for abelian fivefolds (12pp.), available upon request.
-
A note on two-torsions in the outer automorphism groups of absolute Galois groups of mixed-characteristic local fields (6pp.), available upon request.
-
On the structure of graded Lie algebras associated to once-punctured elliptic curves with complex multiplication, in preparation.
Personal notes
- On p-adic valuation of B_{p, \chi} (in Japanese).