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33 labs · 3 student voices
Other departments in College of Science and Engineering ›Faculties at University of Tsukuba ›
Reiko Aiyama, Lecturer
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The Aiyama Lab studies surfaces and submanifolds using methods of differential geometry. In the faculty list of the Degree Program in Mathematics, Lecturer Aiyama is listed as a lecturer in the Geometry Group. The current research topic is "Surface Theory in 4-Dimensional Space," which investigates surfaces lying in four-dimensional space. The lab has published papers dealing with minimal surfaces, Lagrangian surfaces, constant mean curvature surfaces, and more.
Shota Hamanaka, Project Assistant Professor
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The Hamanaka Lab studies differential geometry and geometric analysis. In particular, it works on problems related to scalar curvature and on geometric flows. Project Assistant Professor Hamanaka has published papers on Ricci flow and total scalar curvature.
Tomoyuki Kakehi, Professor
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The Kakehi Lab studies differential equations and integral geometry on symmetric spaces. The lab has papers and talks on snapshot problems for the wave equation and the Klein-Gordon equation. The lab belongs to the Analysis Group of the Degree Program in Mathematics.
Yoshihiro Takeyama, Professor
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The Takeyama Lab specializes in mathematical physics and the theory of special functions, and studies multiple zeta values and their q-analogues. An earlier profile describes interests in difference equations related to quantum integrable systems, special functions, representation theory, and combinatorics. Roughly speaking, an integrable system is a problem described by differential or difference equations that has good properties, such as solutions that can be constructed explicitly. Because the lab works with many concrete examples, it needs algebraic tools such as representation theory and combinatorics in addition to analytic methods.
Yuji Hamana, Professor
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The Hamana Lab studies stochastic process theory and stochastic analysis within probability theory. Probability theory is not just about counting cases when rolling dice; it takes natural phenomena as its subject and is one of the major pillars supporting modern mathematics. From a probabilistic viewpoint, the lab investigates the motion of particles in materials containing impurities, and the behavior of quantities that change randomly over time. Probability theory is described as a broad field that is connected not only to other areas of mathematics but also to biology, engineering, and economics.
Ryoki Fukushima, Professor
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The Fukushima Lab works in the field of probability theory, studying subjects such as random media. Keywords for its research include large deviation principles and homogenization, as well as percolation problems and stochastic processes. The lab's website consists mainly of English introductions aimed at researchers, and directs students to the Japanese page for information for students. The website asks those who wish to be supervised as research students to present a specific research plan.
Toshiro Kuwabara, Associate Professor
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The Kuwabara Lab studies applications of sheaves of microdifferential operators, obtained as deformation quantizations, to the representation theory of noncommutative algebras and vertex algebras, as well as to mathematical physics. The lab specializes in representation theory and microlocal analysis, and belongs to the Analysis Group of the Mathematics Degree Program. Its listed research keywords include vertex algebras, conformal field theory, quiver varieties, and rational Cherednik algebras.
Kouhei Matsuura, Assistant Professor
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The Matsuura Lab studies analysis related to symmetric Markov processes, Dirichlet forms, and diffusion processes with boundary conditions. It investigates reflecting Brownian motion on domains with boundary from a mathematical standpoint. Another research topic is discrete approximation, in which reflecting Brownian motion is approached by Markov chains on partitions of the domain.
Kazuyoshi Yata, Professor
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The Yata Lab studies how to handle high-dimensional data with statistical theory. Its research areas are multivariate analysis, sequential analysis, analysis of high-dimensional small-sample data, and asymptotic theory. The lab belongs to the Information Mathematics field of the Mathematics Degree Program, and has co-authored papers with Professor Makoto Aoshima of the same field.
Issei Oikawa, Associate Professor
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The Oikawa Lab studies numerical analysis, particularly the finite element method and discontinuous Galerkin methods. Its research keywords also include numerical computation, error analysis, partial differential equations, and domain decomposition methods. The faculty list of the Mathematics Degree Program introduces the professor as an Associate Professor in the Information group.
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