- 2019 - 2024 New developments of automorphy of Galois representations and Serre conjecture.
- 2018 - 2023 Study of arithmetic gometry by p-adic methods
- 2015 - 2019 A experimental study of arithmetic local systems with geometric origins and unsolved problems in arithmetic geometry
- 2015 - 2019 The geometry of Shimura varieties over positive characteristic and the development of Galois representations
- 2011 - 2016 New developments in number theoretic geometry, topology, and algorithm
- 2012 - 2015 Automorphic forms, algebraic varieties and Iwasawa theory
- 2012 - 2015 Integral structures of arithmetic differential equations and geometries behind them
- 2011 - 2015 The study of Galois deformations and an inductive structure of their automorphy
- 2010 - 2014 A study of arithemetic geometry by p-aidc methods
- 2009 - 2011 A local and global study of arithmetic varieties determined by arithmetic differential equations
- 2007 - 2010 Research on explicit constructions of motives associated to automorphic forms
- 2007 - 2010 New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm
- 2005 - 2008 A study of arithmetic varieties by p-adic methods
- 2004 - 2006 代数曲線のヤコビ多様体の分解に関する研究
- 2002 - 2006 A Research on the decomposition of Jacobian varieties
- 2002 - 2004 On decomposition of Jacobian Varieties
- 2002 - 2004 ヤコビ多様体の分解について
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