Izumiya Shuichi

2014 - 2017 Geometric studies on singularity of non-linear phenomena

2010 - 2015 Geometry of curves, surfaces and hypersurfaces with singularities

2010 - 2014 The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometry

2009 - 2014 Studies on Floer thoery, theory of holomorphic curves and symplectic structures, contact structures

2012 - 2014 Event horizons of higher dimensional space-time and the theory of Lagrange/Legendrian singularities

2010 - 2013 A research on the geometric singularities of non-linear phenomena

2009 - 2011 Research on the singularities and the event horizon in the brane world model

2007 - 2009 Overall study of topology

2007 - 2009 微分式系と階別単純リー環に附随する幾何構造の研究

2006 - 2009 Differential Geometry and Partial Differential Equations as an application of Singularity theory

2006 - 2008 Study on Floer theory and symplectic geometry

2006 - 2008 事象の地平線と重力場レンズ現象に現れる特異点の研究

2005 - 2007 Synthetic Studies ofTopology

2004 - 2006 Study of surfaces from the viewpoints of differential geometry and singularity theory

2003 - 2005 重力場レンズ現象に現れる特異点の研究

2003 - 2005 Research on several geometry from the view point of sinuglarity theory

2002 - 2005 Applied singularity theory to exterior differential systems

2002 - 2005 Floor homology, singularities and deformation theory

2003 - 2004 距離関数の特異性とその蛋白質立体構造解析への応用

2002 - 2004 Fundamental groups of algebraic varieties

2001 - 2003 Geometries related to foliations

2002 - 2002 特異点論とその応用

2001 - 2002 ミンコフスキー空間内の曲線・曲面の生成的微分幾何

2001 - 2002 Integrable geodesic flows and Masloy's quantization condition

2000 - 2002 Various Aspects of Topology

2000 - 2002 線叢と線織面の特異点論的研究

1999 - 2002 Research of Systems of Partial Differential Equations from the view point of Contact Geometry

1999 - 2001 Symplectic structures and singularities

1999 - 2001 Research on Characteristic Classes of Singular Varieties

1998 - 2001 Projective contact geometry and singularity theory

1998 - 2001 Singularity theoretical research on Partial Differential Equations and Differential Geometry

1999 - 2000 Integrable geodesic flows and semi-classical approximations

1996 - 1999 Study of singularities and geometry by means of representation theory

1997 - 1998 Study on symplectic structures and contact structures

1997 - 1998 Classical theory and quantization on integrable geodesic flows

1997 - 1998 Study of Hyperplane Arrangements

1996 - 1998 Contact Geometry of Second Order

1996 - 1997 First Order Partial Differential Equation and WEB Geometry

1996 - 1997 Geometry and Analysis of non-linear Partial Differentail Equations

1996 - 1996 ギンツブルグ ランダウ 方程式の解の構造の研究

1995 - 1996 Research on Complex Analytic Geometry and Singularity Theory

1994 - 1995 Study on Complex Manifolds

1994 - 1994 可積分測地流

1994 - 1994 二階の接触幾何学

1994 - 1994 複素解析的葉層構造の特異点の研究

1994 - 1994 偏微分方程式の幾何と解析

1993 - 1993 偏微分方程式の幾何学的理論と特異点

1992 - 1992 二階の接触幾何学

1992 - 1992 複素解析的葉層構造の特異点の研究

1990 - 1991 Research on Complex Analytic Geometry and Singularity Theory

1990 - 1990 一階偏微分方程式と特異点

1987 - 1988 GEOMETRY THEORY OF SYSTEMS OF ORDINARY DEFFERENTIAL EQUATIONS

1987 - 1988 GEOMETRY OF MANIFOLDS

1985 - 1986 GEOMETRY OF MANIFOLDS