Mathematics is the basis of science.
Our department intends to study systematic theory in
algebra, geometry, analysis, and applied mathematics,
which function as the core in education and research
organically and in a cross-sectoral manner.
Trained in mathematical thinking under our system,
many researchers with high logical ability
and a number of flexible and broadminded people have been produced.
Meanwhile, Graduate School of Science holds an advantage
in cross-fertilizing physics, chemistry, and life science,
which enables us to solve urgent problems of modern society.
|Differentilal equations, spectral theory My research field is the spectral theory of linear differential operators. Recently I have been studying spectral gaps of the one-dimensional Schroedinger/Dirac operators with periodic impulses.|
|Dynamical systems, ergodic theory The analysis of chaotic phenomena is a modern and important area of mathematical physics. My research involves the study of chaos by measure theoretic methods. Recently, I have been investigating the limit distribution of the return times of chaotic dynamical systems. I am also interested in problems relating to quantum chaos, in particular the problem of distribution of energy levels, which is related to the return time distribution.|
4. Applied Mathematics
|Information security, algorithmic number theory I have been engaged in research on public-key cryptography. In particular, I am interested in the proposal and cryptanalysis of public-key cryptosystems based on the intractability of number theoretic or combinatorial problems.|
|Numerical methods, symbolic computation, parallel computation I am working in the following areas: (1) numerical methods for scientific and engineering computations; (2) algorithms for symbolic computations in mathematical problems; (3) parallel computation methods for large scale problems; (4) the efficient use of high performance computing systems including personal computers. Recently I have focused on numerical methods for the solution of eigenproblems for large matrices.|