Research areas	Stochastic Analysis
Keywords	stochastic analysis, mathematical physics, differential equations
Themes	We analyze mathematical models describing phenomena in random media to understand rigorously the law controlling the phenomena. Main objects are random or deterministic Schroedinger operators. For example, we analyze its spectral structure by using analytical methods (the operator theory, the Fourier analysis, the complex analysis, the distribution theory and so on) and stochastic methods (the Ito calculus, the Malliavin calculus, the large deviation theory, the results on the stochastic oscillatory integrals and so on). Moreover we intend to improve the fundamental methods.
Major publications
Professional societies/Research and synergic activities	Mathematical Society of Japan International Association of Mathematical Physics
Teaching Areas	Undergraduate courses Graduate courses (Master's program) Graduate courses (Doctor's program) Undergraduate courses open to all departments
Background	1982 Graduated from Nara High School 1986 B.A. Science, Department of Mathematics, Faculty of Science, Osaka City University (present: Osaka Metropolitan University) 1988 M.A. Science, Department of Mathematics, Graduate School of Science, Osaka University 1988-1991 Research Associate at Department of Mathematics, Faculty of Science, Osaka University 1991-1995 Lecturer at Department of Mathematics, Faculty of Science, Himeji Institute of Technology (present: University of Hyogo) 1992 Doctor of Science, Osaka University 1995-1999 Associate Professor at Department of Mathematics, Faculty of Science, Himeji Institute of Technology (present: University of Hyogo) 1999-2013 Associate Professor at Graduate School of Human and Environmental Studies, Kyoto University 2013-present Professor at Graduate School of Human and Environmental Studies, Kyoto University

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