Kawahira Tomoki

カワヒラトモキ | Kawahira Tomoki

Affiliation and department：
Job title： Professor
Homepage URL (1)： https://www1.econ.hit-u.ac.jp/kawahira

Research field (3)： Mathematical analysis , Geometry , Basic analysis

Research keywords (7)： Complex Dynamics , Complex Analysis , Quasiconformal mappings , Riemann Zeta Function , Beltrami Equation , lamination , Hyperbolic Geometry

Research theme for competitive and other funds (23)：

2022 - 2025 Foundation of the discrete quasiconformal deformation theory of discrete Riemann surfaces
2020 - 2024 Numerical analysis of mu-conformal mappings and applications to complex dynamics
2023 - 2023 Around the Mandelbrot set: A conference celebrating the 60th birthday of Mitsuhiro Shishikura
2022 - 2022 複素力学系と関連分野
2019 - 2022 Goldberg-Milnor予想の解決に向けたμ-等角摂動の研究

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Papers (26)：

Yi-Chiuan Chen, Tomoki Kawahira. From Hyperbolic to Parabolic Parameters along Internal Rays. To appear in Trans. Amer. Math. Soc. 2023
Hiroyuki Inou, Tomoki Kawahira. Accessible hyperbolic components in anti-holomorphic dynamics. Preprint (https://arxiv.org/abs/2203.12156). 2022
Tomoki Kawahira. Zalcman functions and similarity between the Mandelbrot set, Julia sets, and the tricorn. Analysis and Mathematical Physics. 2020. 10. 2
Yi-Chiuan Chen, Tomoki Kawahira. From Cantor to Semi-hyperbolic Parameter along External Rays. Trans. Amer. Math. Soc. 2019. 372. 11
Yi-Chiuan Chen, Tomoki Kawahira. Simple Proofs for the Derivative Estimates of the Holomorphic Motion near Two Boundary Points of the Mandelbrot Set. Journal of Mathematical Analysis and Applications. 2019. 473. 1. 345-356

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MISC (35)：

川平友規. フラクタルと力学系の安定性. 数学通信. 2023. 28. 2. 21-34
川平友規. L’Hexagoneの数学者たち (6) 単数形の数学,あるいはブルバキの夢. ふらんす 2023年9月号. 2023
L’Hexagoneの数学者たち (5) シモーヌの兄,アンドレの妹. ふらんす 2023年8月号. 2023
川平友規. L’Hexagoneの数学者たち (4) モンジュの知恵,エコール・ポリテクニーク. ふらんす 2023年7月号. 2023
川平友規. L’Hexagoneの数学者たち (3) 『百科全書』vs. オイラー. ふらんす 2023年6月号. 2023

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Books (3)：

入門複素関数
裳華房 2019 ISBN:9784785315795
微分積分 1変数と2変数 NBS (日評ベーシック・シリーズ)
日本評論社 2015 ISBN:4535806306
レクチャーズオン Mathematica
プレアデス出版 2013 ISBN:4903814610

Professional career (1)：

Ph.D (Mathematical Science) (The University of Tokyo)

Work history (5)：

2021/04 - 現在 Hitotsubashi University Graduate School of Economics Professor
2017/06 - 現在理化学研究所理研革新知能統合研究センター(AIP) 数理科学チーム客員研究員
2021/04 - 2023/03 Tokyo Institute of Technology School of Science Visiting Professor
2015/02 - 2021/03 Tokyo Institute of Technology Department of Mathematics Associate Professor
2010/04 - 2015/02 Nagoya University Department of Mathematics Associate Professor

Committee career (1)：

2016/07 - 2018/06 日本数学会雑誌「数学」常任編集委員

Association Membership(s) (1)：

日本数学会

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