MOTEGI Kimihiko

モテギキミヒコ | MOTEGI Kimihiko

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.math.chs.nihon-u.ac.jp/~motegi/

Research field (1)： Geometry

Research keywords (12)： Dehn surgery , knot , 3-manifold , slope conjecture , generalized torsion element , characterizing slope , tight fibered knot , L-space knot , L-space , Heegaard Floer homology , Seifert surgery , Seifert Surgery Network

Research theme for competitive and other funds (28)：

2021 - 2026 3次元双曲多様体上の量子トポロジー
2019 - 2024 Geometry and algebra in Dehn surgery
2019 - 2020 結び目と3次元多様体の量子トポロジー
2019 - 2020 3次元多様体の幾何構造と組合せ構造
2014 - 2019 ザイフェルト多様体, L-空間, 基本群の左不変順序とデーン手術の総合的研究

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Papers (67)：

Kenneth L. Baker, Kimihiko Motegi. The stable crossing number of a twist family of knots and the satellite crossing number conjecture. arXiv:2404.05308. 2024
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito. Dehn filling and the knot group I: Realization Property. arXiv:2303.15738v3. 2024
Kenneth L. Baker, Kimihiko Motegi, Toshie Takata. The Strong Slope Conjecture and crossing numbers for Mazur doubles of knots. Springer Proceedings in Mathematics & Statistics. 2024. to appear
Kimihiko Motegi. Dehn surgery on knots - tracing the evolution of research. Sugaku Expositions, Amer. Math. Soc. 2023. 36. 1-33
Tetsuya Ito、Kimihiko Motegi and Masakazu Teragaito. Generalized torsion for hyperbolic 3-manifold groups with arbitrary large rank. Bull. London Math. Soc. 2023. 55. 1203-1209

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MISC (10)：

Kenneth L. Baker, Kimihiko Motegi and Toshie Takata. The Strong Slope Conjecture for Whitehead doubles. RIMS Kokyuroku. 2020. 2163. 62-81
Kimihiko Motegi. Dehn fillings on knot groups. Mathematisches Forschungsinstitut Oberworfach, Oberworfach Reports. 2020. 17. 465-516
Kimihiko Motegi. 結び目のDehn手術-研究の変遷をたどって. Sugaku (Mathematical Society of Japan). 2018. 70. 4
Ichihara Kazuhiro, Motegi Kimihiko. BRAIDS AND NIELSEN-THURSTON TYPES OF AUTOMORPHISMS OF PUNCTURED SURFACES (Perspectives of Hyperbolic Spaces II). RIMS Kokyuroku. 2004. 1387. 100-109
Ichihara Kazuhiro, Motegi Kimihiko. SECTIONAL KNOTS IN SEIFERT FIBERED 3-MANIFOLDS (Hyperbolic Spaces and Discrete Groups II). RIMS Kokyuroku. 2002. 1270. 101-111

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Books (2)：

Dehn Surgery - Introduction to 3-Dimensional Topology
Kyoritsu Shuppan 2022 ISBN:9784320115026
論理・集合・写像・位相をきわめる幾何学序論
日本評論社 2018

Lectures and oral presentations (175)：

Dehn filling and knot group
(Seminari di Geometria, Universita di Pisa 2024)
Dehn filling trivialization on a knot group
(Knots with special properties: A conference to celebrate Mario Eudave-Mu\~noz's 60th birthday, 2023)
Dehn filling and knot group: the Property P conjecture and beyond
(MSJ-KMS Joint Meeting 2023)
Winding number, wrapping number and stable unknotting number of knots in a twist family
(The Iberoamerican and Pan Pacific International Conference on Topology and its Applications 2023)
結び目交点数に関する話題から
(可微分写像の特異点論文とその応用 2023)

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Education (3)：

1987 - 1989 Kyushu University Graduate School, Division of Natural Science Mathematics
1985 - 1987 Kyushu University Graduate School, Division of Natural Science Mathematics
1981 - 1985 Yokohama National University Faculty of Education Mathematics

Work history (10)：

2002/04 - 現在 Nihon University Department of Mathematics, College of Humanities and Sciences Professor
1996/04 - 2002/03 Nihon University Department of Mathematics, College of Humanities and Sciences Assistant Professor
2002/02 - 2002/02 Tokyo Institute of Technology 理学研究科非常勤講師(集中講義)
2001/08 - 2001/09 Universite de Provence Professur Invite
1998/02 - 1998/03 Universite de Provence, Marseille I Professur Invite

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Committee career (8)：

2023/03 - 現在日本数学会評議員
2021/04 - 現在 Mathematical Society of Japan トポロジー連絡会議委員
2019/04 - 2021/03 Mathematical Society of Japan トポロジー拡大連絡会議委員
2018 - 2021 Japan Society for the Promotion of Science 科学研究費委員会専門委員
2018 - 2021 Mathematical Society of Japan 科学研究費委員会専門委員

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Association Membership(s) (1)：

日本数学会

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