- 2018 - 2023 代数的層のモジュライの研究
- 2015 - 2018 Birational geometry of moduli spaces of algebraic sheaves
- 2013 - 2018 Moduli spaces of algebraic varieties and self-morphisms
- 2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
- 2011 - 2015 Study of moduli of algebraic vector bundles
- 2010 - 2015 Constructions and developments of geomerty on moduli spaces and arithmetic varieties
- 2010 - 2014 Study of vector bundles using the theory of complexes
- 2008 - 2010 Study of Moduli of algebraic vector bundles
- 2005 - 2008 Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert
- 2005 - 2007 代数的ベクトル束のモジュライの研究
- 2003 - 2004 低次超曲面の代数幾何と有限単純群
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