- 2024 - 2029 Redefining Cheating-Resistant Property of Mathematical Educational Materials for first-year students in the Era of AI Coexistence and Constructing a Comprehensive Learning Support Environment
- 2021 - 2025 世界探究パラダイムに基づいた新しい教師教育の展開
- 2019 - 2023 学校数学における協働型探究活動を促進する教材の開発原理の構築と検証
- 2018 - 2022 A cultural-anthropological study on argumentation and proof throughout the secondary mathematics education
- 2018 - 2022 Class Development and Teacher Education by uniting Mathematics and Mathematics Education based on Theoretical Frameworks
- 2017 - 2021 Viability of the mathematics teaching based on the paradigm of questioning the world in Japanese secondary school
- 2017 - 2020 Study of Curriculum of Mathematics Teacher Education Based on the Notion of Mathematical Literacy
- 2015 - 2019 Development of a program to develop teaching materials research skills of teachers to foster metacognition of children in arithmetic learning
- 2015 - 2018 Research on curriculum development of mathematical proof by networking mathematical activities within and between the domains consistent in secondary education
- 2011 - 2013 Development of Materials for Mathematical Activities in Cooperation between University and High school , and Teacher Education
- 2009 - 2010 教員養成プログラムにおける「創発のメソッド」の構築
- 2006 - 2009 Research on algebraic topology and its geometric applications
- 2006 - 2008 unstable K-theory and homotopy-nilpotency of Lie groups
- 2003 - 2005 Homotopical Algebra and its Geometric Applications
- 2001 - 2002 リー群のホモトピー論的研究と非安定K理論
- 2000 - 2002 Algebraic Geometry, Differential Geometry and Topology of Manifolds
- 1998 - 1999 Classifying spaces of Categories, Flore Homology and Homotopsy Theory of Infinite Complexes
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