- 2023 - 2028 トランス・クロマティック・ホモトピー論の研究
- 2023 - 2026 Equivariant Schubert calculus for p-compact groups
- 2020 - 2024 Moduli of representations and related topics (4)
- 2017 - 2024 一般の安定ホモトピー論における余加群の研究
- 2013 - 2017 Research on the stable homotopy category using quasi-categories
- 2010 - 2012 Chromatic redshift and homotopical algebraic geometry
- 2007 - 2009 Higher dimensional category and its applications
- 2007 - 2009 Reconstruction of generalized cohomology theories by means of the notion of continuous functors
- 2007 - 2009 A study of stable Hopf invariants and Hopf constructions
- 2007 - 2009 グロタンディークデッサンと悲合同的タイヒミュラー被覆の数論
- 2006 - 2007 安定ホモトピー圏の大域的構造の研究
- 2004 - 2005 Classifying spaces of compact Lie groups topology of p-compact groups
- 2004 - 2005 安定ホモトピー圏と形式群のモジュライ
- 2002 - 2003 Homotopy Methods in a Generalization of Lie Group Theory
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