Ohmoto Toru

2014 - 2018 Riemann surfaces and low dimensional manifolds

2014 - 2018 Geometric studies on singularity of non-linear phenomena

2012 - 2017 Residue theory on singular varieties and its applications

2015 - 2017 Algebro-geometric method for singularity criteria in kinematics

2011 - 2016 New developments of singularity theory of mappings

2011 - 2016 Geometric moduli theory and its theoretical applications

2012 - 2015 Comprehensive studies on topology, analysis and geometry of singular spaces and related topics

2012 - 2015 Characteristic classes of algebraic stacks and application to enumerative problems

2010 - 2014 A research on the geometric singularities of non-linear phenomena

2011 - 2013 Structural Stability and Morphogenesis of Differentiable Maps

2009 - 2011 Comprehensive studies of topological aspects of algebraic spaces and stratified spaces

2009 - 2011 Localization theory of Atiyah classes and its applications

2009 - 2011 特異チャーン類理論と数え上げ幾何の研究

2008 - 2011 Coho mology of discrete groups and characteristic classes of flat bundles

2008 - 2010 Schubert geometry and special polynomials

2007 - 2010 Global Theory of Singularities of Differentiable Maps and its Applications

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

2007 - 2008 A general study on topology of algebraic varieties and its related topics

2005 - 2008 同変オイラー標数積分・チャーン類理論とその関連分野

2006 - 2007 Equisingularity Problems for Real Algebraic Singularities and Real Analytic Singularities

2006 - 2007 Residues on Singular Varieties

2005 - 2007 Studies on the Cohomology of Mapping Class Groups, Coxeter Groups and Artin Groups

2005 - 2006 A general study on topology, analysis and geometry of symbolic algebraic varieties

2004 - 2006 Global Theory of Singularities from the Viewpoint of Homotopy Theory

2003 - 2005 Local or global characteristic numbers of complex projective hypersurfaces and the resolution or improvement of their singularities

2003 - 2005 Residues on Singular Varieties

2002 - 2005 Applied singularity theory to exterior differential systems

2003 - 2004 写像族の特異点の分岐集合とファイバー束の特性類に関する研究

2003 - 2004 A general study on topology, analysis and geometry of singular spaces

2003 - 2004 The study of differential geometry of Kahler-fibrations and its applications.

2002 - 2004 Research on the application of the boundary analysis and geometry to the moduli of isolated singularities

2002 - 2002 特異点論とその応用

2001 - 2002 The study of Bott connection and its applications to Finsler geometry

2001 - 2002 A topological and analytical study on three dimensional singular complex projective hypersurfaces

2000 - 2001 可微分写像の特性類および位相不変量に関する研究

2000 - 2001 Studies on Characteristic Classes of Singular Varieties, Motives ans Their Related Topics

2000 - 2001 Research on moduli of the boundary structure of isolated singularities

1999 - 2000 Logarithmic deformations of complex projective hypersurfaces with ordinary singularities and their period maps

1998 - 1999 Studies on Characteristic Classes of Singular Varieties and Invariants of Singularities

1998 - 1999 The study of the semi-stability of Einstein-Finsler vector bundles

1997 - 1999 Research on moduli of strongly pseudo-convex CR manifolds embedded in algebraic varieties

1997 - 1998 微分可能写像の位相不変量と分岐図式の幾何に関する研究

1996 - 1996 微分可能写像の大域的位相不変量に関する研究

1996 - 1996 コ-シ-・リーマン理論による正規孤立特異点のモジュライの研究

1995 - 1995 特異複素多様体の特性類の統一的理論の研究

1995 - 1995 強擬凸CR構造のモジュライの研究