I am Shun ISHII, a JSPS research fellow at Keio University. Before coming to Keio, I was a doctoral course student at Kyoto university under the supervision of Prof. Akio Tamagawa (RIMS).
This is my CV, and here is the list of my talks.
email address : ishii(dot)shun(at)keio.jp
Research interests :
-
Galois actions on fundamental groups
-
Abelian varieties and Drinfeld modules
Papers
-
The $\mathfrak{p}$-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$\mathfrak{p}$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
- (with Yuki Goto) On the factorization of certain Kummer characters arising from once-punctured elliptic curves with complex multiplication, in preparation (a incomplete manuscript is available upon request).
The following two preprints are based on my thesis, whose digest is available here.
-
On the kernels of the pro-$p$ outer Galois representations associated to once-punctured CM elliptic curves, submitted (arXiv).
-
On Kummer characters arising from Galois actions on the pro-$p$ fundamental groups of once-punctured CM elliptic curves, submitted (arXiv).