## About

### Department Overview

Mathematics originated in handling the concepts of number, magnitude, and form in prehistoric ages, and has been developing ever since. On the other hand, mathematics develops for its own sake, without aiming at specific applications. Meanwhile, because of its abstract and logical nature, mathematics is the foundation of various other disciplines, including natural sciences, engineering, medicine, and the social sciences. In reality, there is no dividing line between pure and applied mathematics, and their interaction sometimes brings us unexpected breakthroughs.

The Department of Mathematics is one of the six departments of Graduate School of Science, Osaka University. It consists of 6 research groups, all of which are actively involved in the latest developments of mathematics. Our mathematics department has ranked among the top three in the country.

We offer a program with 32 new students enrolled annually leading to post-gradute degrees of Masters of Science. We also offer a Ph.D. program with possibly 16 new students enrolled annually. In addition, there is a special program that excellent undergraduate students with strong mathematical backgroud can be enrolled in the graduate school before graduation. So far, ten students successfully used this program. Graduate courses are prepared so as to meet various demands of students. Besides introductory courses for first year students, a number of topics courses are given for advanced students. Students learn more specialized topics from seminars under the guidance of thesis advisors.

We have our own library equipped with about 500 academic journals and 50,000 books in mathematics, both of which graduate students can use freely. Also by an online system, students as well as faculty members can look up references through Internet.

### Research Groups

The department consists of the following 6 research groups:

- Algebra
- Geometry
- Analysis
- Global Geometry & Analysis
- Experimental Mathematics
- Mathematical Science

### Research Areas

Research areas of all members of the department are the following:

Number Theory, Commutative Ring Theory, Algebraic Geometry, Algebraic Analysis, Partial Differential Equations, Differential Geometry, Complex Differential Geometry, Topology, Knot Theory, Discrete Subgroups, Transformation Groups, Complex Analysis, Complex Functions of Several Variables, Complex Manifolds, Discrete Mathematics, Spectral Theory, Dynamical Systems, Mathematical Engineering, Information Mathematics, Cryptography.