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J-GLOBAL ID：200901047818845922   Update date: Mar. 16, 2024

ICHIHARA Kazuhiro

イチハラ カズヒロ | ICHIHARA Kazuhiro
Affiliation and department：
Nihon University College of Humanities and Sciences Department of Mathematics

About Nihon University College of Humanities and Sciences Department of Mathematics


Job title： Professor
Homepage URL  (2)： https://sites.google.com/view/kazuhiro-ichihara/home ,  https://researcher-web.nihon-u.ac.jp/search/detail?systemId=39ec6e1133775d11154a2e8398a6bbb76028e311e4c8552c&lang=en&st=researcher
Research field  (2)： Geometry ,  Primary/secondary education and curricula
Research keywords  (7)： Topology ,  hyperbolic geometry ,  3-manifold ,  knot theory ,  Dehn surgery ,  Heegaard splittings ,  Mathematics Education
Research theme for competitive and other funds  (8)：
  • 2022 - 2026 Cosmetic surgeries on knots in rational homology spheres
  • 2022 - 2026 高等学校数学科の「授業研究コミュニティ」の成長を促す理論とシステムの構築
  • 2019 - 2022 高等学校数学科における「授業研究コミュニティ」の形成に関する研究
  • 2018 - 2022 On the complement conjecture for knots in lens spaces
  • 2014 - 2019 Seifert fiber spaces, L-spaces, left-orderability of fundamental groups and Dehn surgery
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Papers (78)：
  • Kazuhiro Ichihara, Yuya Nishimura, Seiichi Tani. The computational complexity of classical knot recognition. Journal of Knot Theory and Its Ramifications. 2023. 32. 11. 2350069-2350137
  • Coloring links by the symmetric group of degree three. Communications of the Korean Mathematical Society. 2023. 38. 3. 913-924
  • Kazuhiro Ichihara, Tetsuya Ito and Toshio Saito. On constraints for knots to admit chirally cosmetic surgeries and their calculations. Pacific Journal of Mathematics. 2023. 312. 1. 167-191
  • Masaki Horiuchi, Kazuhiro Ichihara, Eri Matsudo, Sota Yoshida. Constructing Goeritz matrix from Dehn coloring matrix. Proceedings of the Institute of Natural Sciences, Nihon University. 2023. 58. 185-194
  • Kazuhiro Ichihara, Toshio Saito. Knots in homology lens spaces determined by their complements. Bulletin of the Korean Mathematical Society. 2022. 59. 4. 869-877
ｍore...
MISC (28)：
  • Kazuhiro Ichihara, Toshio Saito. Exceptional or half-integral chirally cosmetic surgeries. 2024
  • Sayo Horigome, Kazuhiro Ichihara. On two-bridge ribbon knots. 2024
  • Kazuhiro Ichihara, In Dae Jong. Large alternating Montesinos knots do not admit purely cosmetic surgeries. 2024
  • Kazuhiro Ichihara, Thomas W. Mattman. Boundary slopes (nearly) bound exceptional slopes. 2023
  • Kazuhiro Ichihara, Masaki Horiuchi, Eri Matsudo, Sota Yoshida. Constructing Goeritz matrix from Dehn coloring matrix. 2023. 28-34
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Books (15)：
  • 曲がった世界の三角形の定理たち 〜非ユークリッド幾何学入門〜 (数学への招待シリーズ)
    技術評論社 2024 ISBN:4297139456
  • 数学者の選ぶ「とっておきの数学」
    日本評論社 2023 ISBN:9784535790025
  • チャート式シリーズ 大学教養 線形代数の基礎
    2022 ISBN:9784410154898
  • 数研講座シリーズ 大学教養 線形代数の基礎
    数研出版 2021 ISBN:9784410154898
  • チャート式シリーズ 大学教養 微分積分の基礎
    数研出版 2021 ISBN:9784410153594
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Lectures and oral presentations  (168)：
  • Boundary slopes (nearly) bound exceptional slopes
    (The 19th East Asian Conference on Geometric Topology 2024)
  • Cosmetic surgeries on knots in the 3-sphere
    (Knots with special properties: a conference to celebrate Mario Eudave-Muñoz's 60th birthday 2023)
  • Boundary slopes (nearly) bound exceptional slopes
    (Tohoku Knot Seminar 2023)
  • Surjective dihedral representations and two-tone colorings for links
    (E-KOOK Seminar 2023 2023)
  • Chirally cosmetic exceptional surgeries
    (Breadth in low-dimensional topology 2023)
ｍore...
Education (4)：
  • 1997 - 2000 Tokyo Institute of Technology Graduate School, Division of Science and Engineering Department of Mathematics
  • 1995 - 1997 Tokyo Institute of Technology Graduate School, Division of Science and Engineering Department of Mathematics
  • 1991 - 1995 Keio University Faculty of Science and Engineering Department of Mathematics
  • 1988 - 1991 千葉県立長生高等学校 理数科
Professional career (1)：
  • Doctor of Science (Tokyo Institute of Technology)
Work history (16)：
  • 2013/04 - 現在 College of Humanities and Sciences, Nihon University. Department of Mathematics Professor
  • 2018/07 - 2018/08 日本大学 平成30年度 短期B海外派遣研究員
  • 2016/04 - 2016/04 The Chinese University of HongKong Department of Mathematics Academic Visitor
  • 2014/07 - 2014/08 The University of Melbourne Department of Mathematics and Statistics, Faculty of Science Visitor (Academic)
  • 2014/07 - 2014/08 日本大学 平成26年度 短期B海外派遣研究員
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Committee career (3)：
  • 2017/04 - 現在 世田谷区立千歳中学校 学校運営委員会 委員(学識経験者)
  • 2014/09 - 現在 日本数学教育学会 数学教育編集部幹事
  • 2009 - 2010 大学入試センター 教科科目第一委員会委員
Awards (1)：
  • 2002/09 - Mathematical Society of Japan Takebe Junior Prize awarded by the Mathematical Society of Japan 3次元多様体のデーン手術と本質的曲面の研究
Association Membership(s) (3)：
日本数学教育学会 ,  American Mathematical Society ,  Mathematical Society of Japan
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