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Wakabayashi Yasuhiro
若林　泰央
Wakabayashi Yasuhiro
若林　泰央
Graduate School of Information Science and Technology　Department of Pure and Applied Mathematics, Associate Professor

keyword moduli，oper，p-curvature，algebraic differential equation，Frobenius-Ehresmann structure，p-adic Teichmüller theory，positive characteristic，dormant oper，algebraic curve，connection，moduli space，vector bundle，arithmetic geometry，algebraic geometry

Research History 8

  1. 2022/10 - Present
    Osaka University　Graduate School of Information Science and Technology Department of Pure and Applied Mathematics　Associate Professor

  2. 2018/04 - 2022/09
    Tokyo Institute of Technology　School of Science　Assistant Professor

  3. 2015/06 - 2018/03
    The University of Tokyo　Graduate School of Mathematical Sciences　Project Assistant Professor

  4. 2015/04 - 2015/05
    Japan Society for the Promotion of Science　Research Fellowship PD (Kyoto University)

  5. 2014/08 - 2015/03
    Kyoto University　Center for the Promotion of Interdisciplinary Education and Research

Education 3

  1. Kyoto University　Graduate School of Science　Division of Mathematics

    2011/04 - 2014/03

  2. Kyoto University　Graduate School of Science　Division of Mathematics

    2009/04 - 2011/03

  3. Kyoto University　Faculty of Science

    2005/04 - 2009/03

Committee Memberships 1

  1. The LPP-RIMS AHGT International Research Network　Core member　Other

    2023 - Present

Professional Memberships 1

  1. THE MATHEMATICAL SOCIETY OF JAPAN

Research Areas 1

  1. Natural sciences / Algebra /

Papers 21

  1. Frobenius pull-back of parabolic bundles and dormant opers

    Yasuhiro Wakabayashi

    Proc. Indian Acad. Sci. Math. Sci. accepted　2025　Research paper (scientific journal)

  2. The generic étaleness of the moduli space of dormant so_{2ℓ}-opers

    Yasuhiro Wakabayashi

    J. Geom. Phys. 211 Paper No. 105439, 22pp.　2025/01　Research paper (scientific journal)

  3. Inseparable Gauss maps and dormant opers

    Yasuhiro Wakabayashi

    Math. J. Okayama Univ.　Vol. 67　p. 1-28　2024/10　Research paper (scientific journal)

  4. An upper bound on the generic degree of the generalized Verschiebung for rank two stable bundles

    Yuichiro Hoshi, Yasuhiro Wakabayashi

    Journal of Pure and Applied Algebra　Vol. 228　No. 6　2024/06　Research paper (scientific journal)

  5. Gaudin model modulo p, Tango structures, and dormant Miura opers

    Yasuhiro Wakabayashi

    J. Geom. Phys.　Vol. 200　2024/03　Research paper (scientific journal)

Misc. 18

  1. The moduli space of dormant opers on elliptic curves

    Naoka Karube, Yasuhiro Wakabayashi

    Preprint, arXiv:2504.00418v1 [math.AG]　2025/04

  2. Complete flags on flat vector bundles in positive characteristic

    Yohei Morita, Yasuhiro Wakabayashi

    Preprint, arXiv:2503.13750v1 [math.AG]　2025/03

  3. Book review: "Foundations of p-adic Teichmuller theory" (S. Mochizuki, AMS/IP Stud. Adv. Math.,11)

    Y. Wakabayashi

    Vol. 76　No. 4　p. 425-431　2024/10　Book review, literature introduction, etc.

  4. Projective structures in positive characteristic and their quantum field theory

    Yasuhiro Wakabayashi

    2024/09

  5. Arithmetic liftings and 2d TQFT for dormant opers of higher level

    Yasuhiro Wakabayashi

    Preprint, arXiv:2209.08528v2 [math.AG]　2024/08

Publications 1

  1. A theory of dormant opers on pointed stable curves

    Yasuhiro Wakabayashi

    Astérisque 432, Société Mathématique de France　2022/05　Scholarly book

    ISBN: 9782856299562

Presentations 25

  1. p-adic Teichmuller theory (Chapter VI)

    Y. Wakabayashi

    2025/03/13

  2. Diagonal reduction/lifting (Chapter V)

    Y. Wakabayashi

    2025/03/13

  3. Counting dormant opers (Chaper IV)

    Y. Wakabayashi

    2025/03/12

  4. p-Hitchin map (Chapter III)

    Y. Wakabayashi

    2025/03/12

  5. Moduli space of opers (Chapter II)

    Y. Wakabayashi

    2025/03/11

Social Activities 4

  • 「数える」にひそむ現代数学

    大阪大学 いちょう祭 IST一日体験教室プログラム

    2024/05/03 -

  • 数学者に遠慮なく研究の話をしてくださいと言ったら【学術対談】

    予備校のノリで学ぶ「大学の数学・物理」

    2023/03 -

  • p進タイヒミューラー理論とその周辺

    株式会社すうがくぶんか　現代数学レクチャーシリーズ 第7回

    2022/02 -

  • p進タイヒミューラー理論 －失われたカタチを求めて－

    株式会社すうがくぶんか・東京工業大学理学院　現代数学レクチャーシリーズ

    2021/09 -