Top Papers Talks CV

Papers

エタール道へのガロア作用
  1. Spence-Kummer's trilogarithm functional equation and the underlying geometry.
    preprint, submitted. (arXiv: 2307.09414)
  2. On the Landen formula for multiple polylogarithms and its $\ell$-adic Galois analogue.
    To appear in Low Dimensional Topology, Number Theory and Arithmetic Galois Theory, edited by Pierre Dèbes, Masanori Morishita, Takao Satoh, Akio Tamagawa, to be published by World Scientific.(arXiv: 2601.11304)
  3. Landen's trilogarithm functional equation and $\ell$-adic Galois multiple polylogarithms.
    joint work with Hiroaki Nakamura,
    Springer Proc. Math. Stat., 456, Springer, Singapore, 2025, 237-262.
    Open Access. (arXiv: 2210.17182)
  4. Duality-reflection formulas of multiple polylogarithms and their $\ell$-adic Galois analogues.
    Math. J. Okayama Univ. 66, 159-169 (2024).
    Open Access.(arXiv: 2307.09403)
  5. On $\ell$-adic Galois polylogarithms and triple $\ell$-th power residue symbols.
    Kyushu J. Math. 75 (2021), 95–113.
    Open Access.(arXiv: 1909.06705)

Misc.

  1. On $\ell$-adic Galois analogue of polylogarithm functional equations.
    RIMS Kokyuroku No.2295, Algebraic Number Theory and Related Topics 2023, 154-166.
    (http://hdl.handle.net/2433/296448)
  2. On functional equations of $\ell$-adic Galois polylogarithms.
    Proceedings of the “Arithmetic Homotopy and Galois Theory” MFO-RIMS Tandem workshop, Germany & Kyoto, Oberwolfach Report 42 2023, 96-100.
    (https://publications.mfo.de/handle/mfo/4128)
  3. Studies on $\ell$-adic Galois polylogarithms.
    Doctoral Thesis / Graduate School of Science, Osaka University.
    (https://ir.library.osaka-u.ac.jp/repo/ouka/all/96371)