- 2021 - 2026 保型形式の周期の非消滅定理と漸近公式の研究
- 2020 - 2024 代数的保型形式の次元評価
- 2018 - 2023 Research on arithmetic of number fields and coverings with non-commutative Galois groups
- 2018 - 2022 Asymptotic formula of Hecke eigenvalues and research of Arthur trace formula
- 2015 - 2019 Explicit Fourier transform of trace formulas and its applications to arithmetic
- 2015 - 2018 Ramification theory of automorphic representations and arithmetic of special L-values
- 2013 - 2018 Generalization of the Ricci flow
- 2014 - 2017 Resolvent type trace formulas, automorphic forms and zeta functions
- 2012 - 2015 Ramified components of automorphic representations: local theory and its application to special L-values
- 2011 - 2015 Arithmetic study of automorphic forms of many variables by various method
- 2010 - 2015 Periods of automorphic forms and distribution of average of special values of L-functions
- 2010 - 2015 A computational research on number fields and coverings with non-commutative Galois groups
- 2010 - 2015 Construction of tropical R maps on geometric crystals and its applications to crystal bases
- 2011 - 2013 Study of automorphic forms and zeta functions by using generalized or refined resolvent type trace formulas
- 2008 - 2012 Gauge theoretical approach to Einstein metrics and Ricci flow
- 2007 - 2010 Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties
- 2007 - 2009 Construction of affine geometric crystals and Representation theory of crystal bases
- 2006 - 2009 Green functions and relative trace formulas
- 2006 - 2009 A computational study on extensions of algebraic number fields with non-commutative Galois groups
- 2006 - 2008 Representations of finite reductive groups and applications
- 2002 - 2005 Constructive geometry of arithmetic quotients of symmetric spaces
- 2004 - 2004 複素超球上のある幾何的調和形式の数論的研究
- 2002 - 2004 A Study on the zeta functions attached with the irreducible representations of finite reductive groups
- 2000 - 2001 Study on representations of algebraic groups and finite groups, and applications
- 1997 - 1999 Studies on Representations of Finite Groups and Applications
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