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Other departments in Division I, Faculty of Science ›Faculties at Tokyo University of Science ›

Naoko Kunugi, Professor
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Kunugi Lab studies the modular representation theory of finite groups. A finite group is one of the basic algebraic structures. In its representation theory, one studies the properties of homomorphisms from a given finite group to the group of all invertible matrices. The lab studies representations over fields of positive characteristic from the viewpoint of module theory, investigating topics such as the categories of modules of blocks of finite groups.

Hiroyuki Nakagawa, Professor
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Nakagawa Lab studies the learning and teaching of mathematics from the perspective of mathematics education research. The lab works on developing teaching methods and assessment frameworks that improve and promote "adaptation," a difficulty students face when reasoning by analogy. It also works on developing teaching materials that promote collaborative inquiry activities and on developing diffractive analysis methods in mathematics education research.

Keiichi Kato, Professor
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Kato Lab conducts research on partial differential equations. In the Tokyo University of Science researcher information database, its research field is listed as Foundations of Analysis (partial differential equations). Its listed research topics are the representation of solutions of the Schrödinger equation via the wave packet transform and its applications, the analyticity of solutions of dispersive partial differential equations, and the existence of solutions of nonlinear dispersive equations.

Sho Yoshikawa, Lecturer
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Yoshikawa Lab studies number theory, a branch of algebra. Its research focuses on Galois representations and L-functions associated with elliptic curves and modular forms. Its stated research topic is the study of modular Galois representations and L-functions.

Natsumi Oyamaguchi, Associate Professor
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Oyamaguchi Lab studies knot theory and spatial graph theory. Its research topic is the construction of invariants of spatial graphs and their geometric characterization. Its research field is geometry.

Masahito Ota, Professor
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The Ota Lab studies partial differential equations related to nonlinear waves, such as the nonlinear Schrödinger equation and the nonlinear Klein–Gordon equation. The lab lists the global study of solitary waves of nonlinear dispersive equations as its research topic. In graduation research, students first learn basic equations such as the wave equation, the heat equation, and the Laplace equation, and then move on to modern theory that uses functional analysis.

Naoyuki Koike
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The Koike Lab studies geometry as a whole, centering on differential geometry and including topology and geometric analysis. Differential geometry is closely connected to Einstein's general theory of relativity, and it also relates to other areas of mathematics such as analysis and algebra. The lab mainly investigates submanifolds in symmetric spaces and mean curvature flow, which is their time evolution. According to the lab's website, mean curvature flow is closely related to the Ricci flow, which was used to solve the Poincaré conjecture.

Daisuke Yamakawa, Associate Professor
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The Yamakawa Lab studies symplectic geometry and algebraic geometry. In modern mathematics, mathematical objects such as figures, equations, and functions are sometimes regarded as points in a higher-dimensional figure (a moduli space). This makes it possible to treat a deformation of the object under consideration as the movement of a point in the moduli space. The lab particularly studies isomonodromic deformations of meromorphic connections on compact Riemann surfaces, using the complex symplectic structure of the moduli space.

Masanari Kida, Professor
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Kida Lab studies number theory within algebra, with a focus on algebraic number theory. Professor Masanari Kida has written books including Lectures on Number Theory for Mathematical and Information Sciences, Lectures on Linear Algebra, and Continued Fractions. The lab's website has a page for people who want to be assigned to the lab.

Yusuke Sugiyama, Associate Professor
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Sugiyama Lab studies the theory of partial differential equations within mathematical analysis. The problems it works on are the regularity of solutions to degenerate quasilinear wave equations, and the existence, regularity, and limiting distribution of solutions to fractional-power advection-diffusion equations. Associate Professor Yusuke Sugiyama has been affiliated with the Department of Mathematics, Faculty of Science Division I, Tokyo University of Science since April 2025.
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