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15 labs · 0 student voices
Other departments in Faculty of Science and Technology ›Faculties at Tokyo University of Science ›
Takeo Ushijima, Professor
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The Ushijima Lab studies the properties of solutions to nonlinear parabolic partial differential equations and numerical methods for solving them. Many natural phenomena, such as heat conduction, melting ice, growing crystals, and wave propagation, are described by equations called partial differential equations. The lab investigates the properties of solutions from the perspectives of both numerical analysis and theoretical analysis. Because the lab studies partial differential equations that serve as mathematical models for living organisms, it is interested in applications to problems in biology.
Makiko Tanaka, Professor
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The Tanaka Lab studies the structure and properties of symmetric spaces from multiple angles. Specifically, the lab studies Lie group actions on symmetric spaces, totally geodesic submanifolds, and antipodal sets. The lab's field is differential geometry, and it also aims to apply its results to other fields.
Masashi Aiki, Lecturer
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The Aiki Lab studies, from a mathematical standpoint, nonlinear partial differential equations that describe natural phenomena such as the flow of water and air, the propagation of sound, and heat conduction. For partial differential equations that capture the characteristics of these phenomena, the lab investigates whether they can be solved (solvability) and what properties their solutions have. In particular, the mathematical analysis of model equations describing the motion of vortex filaments, a type of vortex structure that appears in fluid motion, is the core of the lab's research. This research rigorously treats, in a mathematical way, the foundational theory of model equations related to fluids.
Kurando Baba, Associate Professor
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Within differential geometry, the Baba Lab conducts research with a particular interest in symmetric spaces, calibrated geometry, and the geometry of connections. In geometry and mathematical physics, the objects of study are "manifolds," a concept that generalizes geometric figures. In the study of manifolds, the holonomy group makes it possible to capture the properties of the geometric structures a manifold has. In this lab, we clarify the properties of the geometric structures of manifolds known as symmetric spaces and hyperkähler manifolds.
Takashi Nakamura, Associate Professor
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The Nakamura (Takashi) Lab studies zeta functions and L-functions in the field of analytic number theory. Its research falls into two main areas: explicit formulas, relations among values, and functional relations for multiple zeta functions; and the value distribution of multiple zeta functions (mainly universality). In its value-distribution research, the lab compares the behavior of functions such as the Riemann zeta function and Dirichlet L-functions on the complex plane and in function spaces, and also considers the value distribution, such as the zeros, of various multiple zeta functions.
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