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J-GLOBAL ID：201001046045624322   Update date: Sep. 16, 2024

KURIBAYASHI Katsuhiko

クリバヤシ カツヒコ | KURIBAYASHI Katsuhiko
Affiliation and department：
Shinshu University Faculty of Science Department of Mathematics Course of Mathematical Sciences

About Shinshu University Faculty of Science Department of Mathematics Course of Mathematical Sciences


Job title： Professor
Homepage URL  (1)： http://marine.shinshu-u.ac.jp/~kuri/home.html
Research field  (1)： Geometry
Research keywords  (3)： Rational Homotopy theory ,  Diffeology ,  String topology
Research theme for competitive and other funds  (17)：
  • 2021 - 2025 位相的場の理論と可微分スタックに現れるストリングトポロジーの非自明性の検証研究
  • 2019 - 2022 ディフェオロジカル de Rham 理論の創発研究
  • 2016 - 2018 圏論的アプローチによる階層体の研究
  • 2013 - 2017 ゴレンシュタイン空間上で展開される導来ストリングトポロジーの研究
  • 2013 - 2016 Homotopy noncommutativity of loop spaces
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Papers (42)：
  • Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki and Toshihiro Yamaguchi. A reduction of the string bracket to the loop product. to appear in Algebraic & Geometric Topology. 2023. 24. 2619-2654
  • Katsuhiko Kuribayashi. A comparison between two de Rham complexes in diffeology. Proceedings of the American Mathematical Society. 2021. 149. 4963-4972
  • Katsuhiko Kuribayashi. Simplicial cochain algebras for diffeological spaces. to appear in Indagationes Mathematicae. 2020
  • Katsuhiko Kuribayashi. On the whistle cobordism operation in string topology of classifying spaces. Documenta Mathematica. 2020. 25. 125-142
  • Katsuhiko Kuribayashi, Luc Menichi. The Batalin-Vilkovisky algebra in the string topology of classifying spaces. Canadian Journal of Mathematics. 2019. 71. 843-889
ｍore...
MISC (5)：
  • Katsuhiko Kuribayashi. On Félix and Tanré rational models for polyhedral products, preprint (2023). 2023
  • Katsuhiko Kuribayashi. On multiplicative spectral sequences for nerves and the free loop spaces, preprint (2023). Topology and its Applications. 2023. 352,Article ID 107708, 39 p
  • Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki and Toshihiro Yamaguchi. Cartan calculi on the free loop spaces, preprint (2022). Journal of Pure and Applied Algebra. 2022. 228, Article ID 107708, 39 p
  • Katsuhiko Kuribayashi. Local systems in diffeology, preprint (2021). Journal of Homotopy and Related Structures. 2021. 19. 475-523
  • Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito. Remarks on derived string topology, preprint (2017). 2017
Professional career (1)：
  • 理学博士 (京都大学)
Work history (7)：
  • 2014/04 - 信州大学学術研究院 (理学系) 教授
  • 2005/04 - 2014/03 Shinshu University, Faculty of Science Professor
  • 2004/04 - 2005/03 Shinshu University, Faculty of Science Associate Professor
  • 1999/04 - 2004/03 Okayama University of Science, Faculty of Science Associate Professor
  • 2000/04 - 2000/06 フランス国立科学研究所(CNRS)客員研究員
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