Department of
Mathematics

Research Groups & Research Areas

• Analysis

  The beginnings of analysis can be found with Archimedes, but it was after the birth of calculus in the 17th century that this area fully developed. Today, calculus is used to solve various problems, and is applied in a wider field than normal functions.

  Ito Research Group / Saito Research Group

• Algebra

  In Algebra, we examine the nature of aggregates to which some kind of operation is applied, including vector spaces, groups, rings, and fields. One could also say that algebra is a "language" for various types of mathematics. For example, algebra can precisely describe the fact that it is not possible to divide an angle by three using a ruler and a compass, or that a ball is different from a swim ring.

  Satou Research Group

• Geometry

  Geometry starts with Klein's geometry, which looks into the properties of shapes which are invariant in a certain transformation group. This was then merged with the theory of general relativity and developed into Riemannian geometry, Lorentzian geometry, and also symplectic geometry.

  Nitta Research Group / Sako Research Group

• Topology

  The concept of whether points in a Euclidean space are close to or distant from each other can be described by use of distance, and therefore it is possible to discuss the continuity of a map. General topology generalizes this kind of concept. In topological geometry, we look into the nature of continuously deformed invariant shapes.

  Satou Research Group

• Probability / Statistics

  Even if a phenomenon appears to be chaotic at first glance, some regularity may be found if it occurs many times, and this can be used for surveys and forecasts. Further, for Brownian motion and the like, which are constantly subjected to a chaotic force, we can find regularities from equations.

  Miyaoka Research Group / Shimokawa Research Group

• Discrete Mathmatics

  This area includes graph theory and discrete geometry. It is widely applied in engineering, and research is performed from a purely mathematical approach. Since no background knowledge is required, even junior high school or high school students can understand discrete mathematics. We also consider methods for efficiently introducing this area to education while drawing on its advantage.

  Kotani Research Group

• Mathematics Education

  To become a mathematics teacher, you first need a deep understanding of mathematics. And to reflect fresh mathematical results in class, teachers must continue research by themselves. In this area, you will learn practical methods to teach mathematics, and also build up a foundation for lifelong mathematics research.

  Sako Research Group