Bannai Laboratory - The World of Arithmetic Geometry: Solving Problems in Number Theory with Geometric Intuition

The Bannai Laboratory, part of the Department of Mathematics in the Faculty of Science and Technology at Keio University, conducts research in number theory, a branch of mathematics dedicated to uncovering the properties of integers. Within number theory, often called "the queen of mathematics," the Bannai Laboratory's research focuses primarily on arithmetic geometry.

Arithmetic geometry is a field that utilizes the methods and results of algebraic geometry. It goes beyond simply manipulating formulas to investigate the number-theoretic properties of the original algebraic equations by examining the geometric properties of the figures they define.