Division of Mathematics and Mathematical Sciences
Department of Mathematics
Introduction & Policy Outline
Mathematics aims to clarify the laws governing number, figures, and quantities. Mathematics has built a solid system in its long history, and countless new problems are arising from within mathematics itself and from the influence of other sciences such as physics, biology, and economics among others, and new theories are being created one after another. In addition, due to the universal characteristics of mathematics, it has forged connections with various fields including information science and economics, as well as the natural sciences.
The Department of Mathematics has produced numerous highly recognized mathematicians among its graduates including two Fields Medalists, Dr. Heisuke Hironaka and Dr. Shigefumi Mori. On the basis of this tradition, the Department of Mathematics has continually led the world with respect to research while making the best use of the "Academic traditions of freedom" of Kyoto University.
In graduate education we are achieving tremendous results, grooming the next generation of researchers who will lead the world in research study. In addition, many of our graduates have played an active part in society as well as being researchers of mathematics. Since the inception of the policy to particularly emphasize the graduate school, we have worked to foster "a human resource to play an energetic role in society with advanced expertise in mathematics" including that of actuary, through the establishment of a cooperative adjunct course of Actuarial Mathematics. Moreover, it is our aim to produce excellent junior and senior high school teachers of mathematics.
The various research fields of the instructors at the Department of Mathematics are listed below.
| Research Fields: |
|---|
| Algebraic Geometry / Complex Manifolds / Number Theory / Arithmetic Geometry / Representation Theory / Topology / Differential Geometry / Dynamical Systems / Complex Analysis / Partial Differential Equations / Functional Analysis / Operator Algebra / Probability Theory / Algebraic Analysis / Mathematical Physics / Actuarial Mathematics / Computer Science |
In the Division of Mathematics & Mathematical Analysis, the faculty of the Graduate School of Science takes charges of the Mathematics subdivision, and the faculty at the Research Institute for Mathematical Sciences (RIMS) oversees the Mathematical Analysis subdivision.
In the undergraduate Faculty of Science, we emphasize thorough understanding of algebra, geometry, and analysis, which were established in the first half of the 20th century. We pursue cutting edge mathematics education based on those foundations.
Additionally, we are the department in charge of general mathematics education for all undergraduate programs in Kyoto University, and we actively pursue a basic mathematics education such as Calculus and Linear Algebra.
Department of Mathematics (external link)