Shioya Takashi

2016 - 2021 Study on geometric structures of singularities of the mean curvature type flow

2015 - 2020 Progress in Geometric group theory

2014 - 2019 Geometric study of a sequence of spaces with unbounded dimension

2014 - 2019 New development of Lipschitz structure/collapsing theory of Alexandrov spaces and inverse spectral problem

2012 - 2017 Discrete Geometric Analysis for Quantum Spin System

2012 - 2016 The latest frontier study on geometry and theory of eigenvalues

2011 - 2016 Geometric group theory and metric embedding

2010 - 2014 Probabilistic approach to analysis and geometry on metric measure spaces

2009 - 2014 Study of convergence and collapsing phenomena by methods of geometric analysis

2011 - 2013 Geometry of measure concentration and curvature

2011 - 2012 Geometric application of concentration of measure phenomenon

2008 - 2011 Study of Geometry of a discrete space through randomness

2008 - 2010 Optimal mass transport on Alexandrov spaces and Ricci curvature

2007 - 2010 Study on Geometric group theory

2007 - 2009 Analysis on harmonic maps on metric measure spaces by Dirichlet forms

2005 - 2008 Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spaces

2005 - 2007 Gromov-Hausdorff convergence and a theory of variational convergences

2004 - 2007 Spectral Analysis of infinite grapgs with discrete group actions

2005 - 2006 Study on limit theorems for fuzzy set-valued random variables

2005 - 2006 Geometric group theory and hyperbolic geometry

2004 - 2006 Analysts on harmonic maps over geometric singular spaces via Dirichlet forms

2003 - 2005 Large deviations for symmetric Markov processes and Dirichlet forms

2003 - 2004 Research on diffusion processes and fuzzy set valued random variables

2002 - 2004 Convergence of Riemannian manifolds and spectrum of Laplacian

2002 - 2004 Geometric study of infinite discrete groups

2001 - 2004 Theory of collapsing Riemannian manifolds and geometry of Alexandrov spaces

2002 - 2003 The standard realization of crystal lattices and spectra of magnetic transition operators

2001 - 2003 Dirichlet space and analysis of harmonic map over the space of Gromov-Hausdorff limit spaces

2000 - 2003 Relations between space-structures and curvatures

2000 - 2002 Research on Sphere Theorems and Related Properties of Spheres

1999 - 2002 Geometry of space of Riemannian manifolds

1999 - 2001 Analysis on Alexandrov Spaces

1998 - 2000 Collapsing Theory of 4-manifolds and the geometry of Alexandrov Spaces

1997 - 1997 特異リッチ曲率をもつ空間の研究

1996 - 1996 曲率が上に有界なアレキサンドロフ空間の位相構造

1995 - 1995 アレクサンドロフ空間の幾何学

1994 - 1995 Convergence Theory for Alexandrov Spaces

1994 - 1994 確率群作用の絶対連続性と調和解析

1994 - 1994 トポロジーとその関連分野の研究

1993 - 1993 完備リーマン多様体の幾何的性質と理想境界との関係について

1992 - 1992 完備リーマン多様体の幾何的性質と理想境界との関係について