- 2020 - 2024 Research on the algebraic-geometric codes based on adelic vector bundles
- 2016 - 2020 Research on the algebraic-geometric codes defined from restriction of vector bundles to divisors
- 2012 - 2016 Research on the general theory of algebraic-geometric codes
- 2009 - 2011 RESEARCH ON THE ERROR-CORRECTING CODES BASED ON THE EVALUATION MAPS OF VECTOR BUNDLES
- 2006 - 2008 CONSTRUCTION OF HIGHER DIMENSIONAL ALGEBRAIC-GEOMETRIC CODES BASED ON VECTOR BUNDLES
- 2006 - 2008 Algebraic Geometry, Coding Theory
- 2005 - 2008 Hyperplane arrangements and their applications
- 2005 - 2008 An research of algebraic K-theory of arithmetic varieti
- 2003 - 2005 Study of Invariants of Calabi-Yau manifolds via Representation Theory of The Moduli of Stable Sheaves
- 2002 - 2004 Research on arrangements of hyperplane
- 2001 - 2002 Comprehensive Study of Stable Bundles on Calabi-Yau Manifolds
- 1999 - 2001 Research on arrangements of hyperplanes
- 1997 - 1999 Geometry of moduli spaces and non-abelian localization formal
- 1997 - 1999 FORMULATION OF THE FOUR DIMENSIONAL CONFORMAL FIELD THEORY BASED ON THE MODULI OF STABLE SHEAVES ON ALGEBRAIC SURFACES
- 1994 - 1994 安定ベクトル束のモジュライ空間と、代数曲面の微分構造への応用
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