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Faculties at Tokyo University of Science ›

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.

Tomomi Yokota, Professor
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Yokota Lab studies partial differential equations within analysis. Its main research subject is chemotaxis systems arising in mathematical biology. Chemotaxis is the property by which a chemoattractant induces directed movement in a population, and a representative mathematical model is the Keller-Segel system. Using methods of real analysis, such as integration by parts and maximal regularity, together with operator theory, the lab investigates the boundedness of solutions and finite-time blow-up.

Mieko Tanaka, Associate Professor
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Tanaka Lab uses the calculus of variations to show that solutions to differential equations exist. Variational problems appear in many places: Fermat's principle (light travels along the shortest path) and the Dirichlet principle, both known as variational principles, as well as geodesics and brachistochrones. Such problems can be solved by finding the function that attains the minimum of a real-valued function whose domain is a set of functions (a functional). The lab examines the extrema of functionals to show the existence of solutions to differential equations.
Mark Sadgrove, Professor
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Sadgrove Lab studies the phenomenon of particles being transported at the nanoscale. Building on an understanding of the essence of light-matter interaction, the lab conducts experiments that use optical waveguides to transport photons, biological nanoparticles, and atoms. Alongside understanding fundamental physical phenomena, the lab also works on developing next-generation technologies. On the lab's website, it is presented under the name "Nano Transport Lab."
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