- 2021 - 2025 From algorithmic randomness to continuous real functions and real closed fields
- 2011 - 2013 Inverse scattering problems for singular rank-one perturbations of a selfadjoint operator
- 2008 - 2010 Computational harmonic analysis, new development of approximation
- 2008 - 2010 Spectral Gaps of the Dirac Operators with Periodic Point Interactions
- 2006 - 2008 Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations
- 2006 - 2007 On the spectrum of the one-dimensional Schitdinger operators with periodic point -interactions
- 2003 - 2005 クラックの入った有界領域上のラプラス作用素の固有値について
- 2003 - 2005 Study of the structure of solutions to Variational Problems, Inverse Problems and Partial Differential Equations
- 2001 - 2003 Mathematical analysis of scattering phenomena and inverse problems
- 2001 - 2002 クラックの入った有界領域上のラプラス作用素の固有値について
- 1999 - 2000 クラックの入った有界領域上のラプラス作用素の固有値について
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