- 2018 - 2023 Strategic research to construct motivic units using new symmetry
- 2018 - 2023 Study of arithmetic gometry by p-adic methods
- 2017 - 2023 Study on arithmetic geometry of crystals and etale sheaves
- 2015 - 2020 Application of the theory of motives to various cohomology theories and period integral
- 2013 - 2017 Study on overconvergent isocrystals
- 2011 - 2016 New developments in number theoretic geometry, topology, and algorithm
- 2011 - 2015 Geometry and arithmetic of period integrals and motives
- 2010 - 2014 A study of arithemetic geometry by p-aidc methods
- 2009 - 2012 Study on p-adic cohomology, homotopy and overconvergent isocrystals
- 2007 - 2010 New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm
- 2006 - 2009 Hodge theoretic and arithmetic aspects of algebraic cycles
- 2006 - 2009 Ramification in arithmetic geometry
- 2006 - 2008 Study on relative rigid cohomologies and homotopies of arithmetic varieties via logarithmic p-adic analysis
- 2005 - 2008 A study of arithmetic varieties by p-adic methods
- 2003 - 2005 数論的多様体上のp進解析,p進層と可換および非可換なp進コホモロジーの研究
- 2002 - 2005 Cohomological study of arithmetic varieties
- 2001 - 2002 代数多様体上のガロア表現、クリスタル及び保型表現に関するp進的手法による研究
- 1999 - 2001 K3局面の数論
- 1998 - 1999 STUDY OF THE HEIGHTS AND THE DISTRIBUTION OF RATIONAL POINTS ON ALGEBRAIC VARIETIES
- 1998 - 1999 基本群及びホモトピー群に対するp進数論幾何的及びモチーフ論的研究
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