Wakabayashi Yasuhiro

ワカバヤシヤスヒロ | Wakabayashi Yasuhiro

Affiliation and department：
Job title： Associate Professor

Research field (1)： Algebra

Research keywords (11)： algebraic geometry , arithmetic geometry , moduli space , algebraic differential equation , positive characteristic , Frobenius-Ehresmann structure , dormant oper , p-adic Teichmüller theory , algebraic curve , vector bundle , connection

Research theme for competitive and other funds (4)：

2021 - 2025 Development of a new geometry related to projective structures on algebraic varieties in positive characteristic
2018 - 2021 Interdisciplinary research of arithmetic geometry and quantum field theory related to the moduli space of hyperbolic algebraic curves
2015 - 2016 Arithmetic geometry of hyperbolic algebraic curves
2012 - 2014 Arithmetic geometry of hyperbolic algebraic curves

Papers (18)：

Yuichiro Hoshi, Yasuhiro Wakabayashi. An upper bound on the generic degree of the generalized Verschiebung for rank two stable bundles. Journal of Pure and Applied Algebra. 2024. 228. 6
Yasuhiro Wakabayashi. Gaudin model modulo p, Tango structures, and dormant Miura opers. J. Geom. Phys., accepted. 2024
Yasuhiro Wakabayashi. On the category of structure species. Palestine Journal of Mathematics, accepted. 2024
Yasuhiro Wakabayashi. A combinatorial description of the dormant Miura transformation. Bull. Iranian Math. Soc. 2023. 49: 81
Yasuhiro Wakabayashi. Frobenius-Ehresmann structures and Cartan geometries in positive characteristic. Indag. Math. (N.S.) 34 (2023), no. 3, pp. 488-580. 2023

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MISC (15)：

Yasuhiro Wakabayashi. On projective structures in positive characteristic. 2023
Yasuhiro Wakabayashi. Infinitesimal deformations of opers in positive characteristic and the de Rham cohomology of symmetric products. Preprint, arXiv:2309.11750 [math.AG]. 2023
Yasuhiro Wakabayashi. Holonomic D-modules of arithmetic type and middle convolution. Preprint, arXiv:2309.12199 [math.AG]. 2023
Yasuhiro Wakabayashi. Opers with real monodromy and Eichler-Shimura isomorphism. Preprint, arXiv:2309.12203 [math.CV]. 2023
Yasuhiro Wakabayashi. What is a Frobenius-projective structure?. 2022. 29-36

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Books (1)：

A theory of dormant opers on pointed stable curves
Astérisque 432, Société Mathématique de France 2022 ISBN:9782856299562

Lectures and oral presentations (14)：

Topological quantum field theory for differential equations in characteristic p^N
(Low dimensional topology and number theory XV 2024)
Opers with real monodromy and Eichler-Shimura isomorphism
(2024)
On projective structures in positive characteristic
(2023)
p-adic Teichmüller theory and the counting problem of dormant opers
(Arithmetic & Homotopical Galois Theory 2023)
Dormant opers and canonical diagonal liftings
(Algebra and Number Theory Seminar, Univ. of Arizona 2023)

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Education (3)：

2011 - 2014 Kyoto University Graduate School of Science Division of Mathematics
2009 - 2011 Kyoto University Graduate School of Science Division of Mathematics
2005 - 2009 Kyoto University Faculty of Science

Professional career (1)：

Ph.D. (Science) (Kyoto University)

Work history (8)：

2022/10 - 現在 Osaka University Graduate School of Information Science and Technology Department of Pure and Applied Mathematics Associate Professor
2018/04 - 2022/09 Tokyo Institute of Technology School of Science Assistant Professor
2015/06 - 2018/03 The University of Tokyo Graduate School of Mathematical Sciences Project Assistant Professor
2015/04 - 2015/05 Japan Society for the Promotion of Science Research Fellowship PD (Kyoto University)
2014/08 - 2015/03 Kyoto University Center for the Promotion of Interdisciplinary Education and Research

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Committee career (1)：

2023 - 現在 The LPP-RIMS AHGT International Research Network Core member

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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