- 2013 - 2016 Aharonov-Bohm effect in resonances for magnetic scattering
- 2006 - 2009 Mathematical Analysis of Quantum Physics
- 2006 - 2007 Research on Spectra of Random Schrodinger Operators
- 2004 - 2006 Multi-wavelet frames and applications to harmonic analysis
- 2002 - 2005 Mathematical Analysis of Quantum Physics
- 2001 - 2004 Commutative and Non-commutative Bloch Theory
- 2002 - 2003 Wavelet like basis on manifolds and their applications to harmonic analysis
- 1999 - 2001 Comprehensive study of differential equations
- 1997 - 2000 Research on well-posedness for the Navier-Stokes equations
- 1997 - 1998 Research for the Lp theory of the solutions to nonlinear partial differential equations
- 1997 - 1998 Research on partial differential equations and selfadjoint operators of mathematical physics
- 1995 - 1996 On Gevrey property and asymptotic analysis for divergent solutions of analytic partial differential equations
- 1994 - 1994 偏微分方程式と幾何の逆問題
- 1993 - 1993 数理物理学に現れる大偏差原理の研究
- 1987 - 1987 量子力学の準古典近似の研究
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