- 2021 - 2024 シュレディンガー作用素の埋蔵固有値および閾値レゾナンスの解析
- 2015 - 2020 Spectrum for periodic or random magnetic Scrodinger operators
- 2015 - 2018 Spectral analysis of relativistic Hamiltonians with a magnetic field
- 2012 - 2015 Resonances of Dirac operators
- 2009 - 2014 Spectral and scattering theory of Schroedinger equations
- 2011 - 2013 Spectrum of Schroedinger operators with periodic or random magnetic fields
- 2009 - 2011 Analysis of the spectral structure of Dirac operators
- 2008 - 2010 Analysis of Schrodinger operators with random δ magnetic fields
- 2008 - 2010 Spectrum of random magnetic Schrodinger operators
- 2006 - 2008 Schrodinger operators with singular magnetic fields and Aharonov-Bohmeffect
- 2005 - 2006 Research on spectrum of random magnetic Schr {"o} dinger operators
- 2004 - 2006 ASYMPTOTICAL ANALYSIS FOR EXPONENTIAL FUNCTIONALS IN INFINITE DIMENSIONAL STOCHASTIC MODELS
- 2001 - 2003 MATEMATICAL ANALYSIS OF INFINITE DIMENSIONAL STOCHASTIC MODELS
- 1999 - 2000 Mathematical Study of Critical Phenomena for Statistical Models in Probability
- 1998 - 2000 System of partial differential equations and non-commutative analysis
- 1996 - 1996 古典力学系および群作用のエルゴード理論的研究
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