Rchr
J-GLOBAL ID：201901016828093710
Update date: Aug. 19, 2024
YAMAMOTO Takahiro
ヤマモト タカヒロ | YAMAMOTO Takahiro
Affiliation and department：
Homepage URL (1)：
http://www.u-gakugei.ac.jp/~yamush/
Research field (1)：
Geometry
Research theme for competitive and other funds (5)：
- 2015 - 2018 Innovation challenge to the construction of stable maps by big data visualization techniques
- 2011 - 2016 New developments of singularity theory of mappings
- 2011 - 2013 Structural Stability and Morphogenesis of Differentiable Maps
- 2009 - 2012 Toward construction of the universal complex of the solutions of differential equations
- 2007 - 2010 Global Theory of Singularities of Differentiable Maps and its Applications
Papers (22)：
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Takahiro Yamamoto. Elimination of B_2 singularities I. Research in the Mathematical Sciences. 2024. 11. 3
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Takahiro YAMAMOTO, Keiichi NISHIMURA, Shinya OHTA, Nobuko TAKEUCHI. Exploration for Conic Curves : As Subjects of Exploration on School Education Courses. Transactions of mathematical education for colleges and universitie. 2023. 29. 1. 65-82
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YAMAMOTO, Takahiro, TAKEUCHI, Nobuko. On Surfaces Defined by Families of Parabolas Described by Pairs of Hyperbolas Having a Common Asymptote. BULLETIN OF TOKYO GAKUGEI UNIVERSITY, Division of Natural Sciences. 2022. 74. 1-7
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Takahiro Yamamoto. Topology of Stable Maps of Surfaces with Boundary into the Plane. Bulletin of the Brazilian Mathematical Society, New Series. 2022
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Daisuke Sakurai, Takahiro Yamamoto. Visually Evaluating the Topological Equivalence of Bounded Bivariate Fields. Topological Methods in Data Analysis and Visualization VI. 2021. 181-196
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MISC (3)：
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竹内伸子, 山本卓宏. 3次元空間内の放物線族が作る曲面について. 京都大学数理解析研究所講究録 (特異点論の展開). 2024. 2281. 21-37
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山本卓宏. トポロジーと特異点/輪郭線から分かること. 数学セミナー 2019年10月号 [特集1]いろいろな特異点. 2019. 22-25
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山本 卓宏. Universal complex of co-orientable singular fibers of stable maps of 3-manifolds with boundary into surfaces. 九州産業大学工学部研究報告. 2014. 51. 57-64
Books (6)：
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中学校・高等学校数学科 授業力を育む教育実習
東京学芸大学出版会 2018 ISBN:4901665529
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Singularities in generic geometry
Mathematical Society of Japan 2018 ISBN:9784864970556
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可微分写像の特異点論の局所的研究と大域的研究 : RIMS共同研究(公開型)
京都大学数理解析研究所 2018
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可微分写像の特異点論とその応用 [1984]
京都大学数理解析研究所 2015
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基礎から学ぶ微分方程式
共立出版 2013 ISBN:9784320110595
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Lectures and oral presentations (15)：
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Fiber Singularities of Continuous Maps
(18th International Workshop on Real and Complex Singularities 2024)
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Envelopes created by families of parabolas in the plane (a joint work with Rion Murakami)
(Singularity Theory and its related fields 2024)
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Surfaces formed by one-patameter families of parabolas in R^3 (a joint work with Nobuko Takeuchi)
(Extension of the Singularity theory 2023)
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空間内の放物線族が作る曲面について(竹内伸子さんとの共同研究)
(特異点論及びその周辺分野の深化と異分野への応用 2023)
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Fiber Singularities of Continuous Maps
(MSJ Spring Meeting 2023 2023)
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Education (3)：
- 2002 - 2006 北海道大学大学院 理学研究科 数学専攻博士課程
- 2000 - 2002 北海道大学大学院 理学研究科 数学専攻修士課程
- 1996 - 2000 Nihon University College of Humanities and Sciences Department of Mathematics
Professional career (1)：
Association Membership(s) (1)：
The Mathematical Society of Japan
