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The Department of Mathematical Sciences aims
to develop in its students a comprehensive
grasp of the principle of mathematical sciences,
together with a productive capacity in research.
The courses of study are flexible in subject
matter and are conducted by means of lectures,
seminars, experiments and colloquia. Undergraduate
as well as graduate students have opportunities
to carry out research in fields of current
interest.
The principal research fields of the Department
are Analysis, Algebra, Geometry, and Applied
mathematics and Computational mathematics.
We shall introduce each section.
- Analysis:
- Our main subject is the function theory in one complex
variable, which includes the theory of compact or non-compact Riemann
surfaces, the potential theory,the theory of Klenian groups and moduli
spaces etc.
- Algebra:
- The abstract algebra was invented
through the
beginning to the middle in the 20th century by Noether, Artin, Neumann
and others. The base of this algebra is the so called "RING". In our
laboratory, we are comprehensively researching the modern algebra.
- Geometry:
- In modern mathematics, the notion of manifolds is
indispensable. The purpose of geometry is to study structures of
manifolds by using algebraic and topological methods and to develop
analysis on manifolds.
- Applied
and Computational
Mathematics:
- The aim of applied mathematics is to solve various problems of
other fields or
the real world by applying theresults, methods and ideas of mathematics
to them. This section contains several branches of applied mathematics,
including numerical analysis, numerical methods for differential
equations, computer algebra and coding theory.
Academic Staff and
Research Field
| Academic Staff |
Research Field |
Lecture Subject |
| Prof. Yoshifumi ANDO |
Singularities of mappings |
Topology of sigularities |
| Prof. Katsuhiro KOMIYA |
Transformation Group Theory |
Topology |
| Prof. Hiroo NAITOH |
Differential Geometry |
Fundations of Geometry |
| Prof. Mamoru KUTAMI |
Ring Theory |
Algebra |
| Prof. Makoto MASUMOTO |
Complex Analysis |
Analysis |
| Prof. Isao KIUCHI |
Analytic Number Theory |
Topics in Multiplicative function |
| Associate Prof. Nobumitsu NAKAUCHI |
Global Analysis |
Differential Geometry |
| Associate Prof. Hiroshi YOSHIMURA |
Ring Theory |
Algebra |
| Associate Prof. Isao KIKUMASA |
Applied Algebra |
Information Mathematics |
| Associate Prof. Yasuyuki MIYAZAWA |
Knot Theory |
Topology |
| Associate Prof. Fumihiko HIROSAWA |
Partial Differential Equations |
Analysis |
| Research Associate Tomomi GOUMA |
Complex Analysis |
Analysis |
| Research Associate Yasushi HATAYA |
Nonlinear Analysis |
Calculus |
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