Department of
Mathematics

Research Groups & Research Areas

• Algebra

  Algebra starts with solving equations. The non-existence of general methods for solving equations of degree five or more is shown by an abstraction of the problem and the use of group theory, ring theory, field theory and the like, and theories of algebraic variety are developed from a set of all solutions of a system of equations.

  Kida Research Group / Kunugi Research Group / Sanada Research Group

• Geometry

  Geometry starts with Klein 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.

  Koike Research Group / Yamakawa Research Group

• 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.

  Kato Research Group / Ohta Research Group / Tanaka Research Group / Yokota Research Group

• Probability Theory / Statistics

  Even if a phenomenon appears to be chaotic at first glance, some regularity may be found if it occurs for 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.

  Kaneko Research Group

• Mathematics Education

  We all studied mathematics at elementary, junior high, and high school. Considering historical transformations and the current status quo of content and teaching methods, as well as ways of evaluating the curriculum in mathematics, we try to envision the shape of mathematics education in the future.

  Shimizu Research Group