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23 labs · 3 student voices
Other departments in Faculty of Science ›Faculties at Chiba University ›
Hironobu Sasaki, Associate Professor
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Prof. Sasaki studies solutions of nonlinear dispersive equations. The subjects are equations that describe waves, such as the nonlinear Schrödinger equation and the Klein-Gordon equation. The professor considers fundamental questions: how long a solution exists and which function it approaches. The professor also works on an inverse problem: finding the unknown nonlinear term from observable scattering data.
Hiroshi Ando, Associate Professor
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Prof. Ando studies mathematics, with a focus on the theory of operator algebras. The theory of operator algebras deals with noncommutative objects, in which the order of multiplication cannot be swapped. The keywords of the research are von Neumann algebras and unitary representations, and recent papers also deal with unitary groups of C*-algebras.
Sachiko Ishida, Associate Professor
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Prof. Ishida studies partial differential equations, with a focus on chemotaxis equations. Chemotaxis is the tendency of living things to move toward higher concentrations of a chemical substance. Using systems of equations such as the Keller-Segel system, the lab investigates whether solutions exist for all time and stay within a fixed bound, and how they settle down as time passes. The lab also works on models describing invasion, the way cancer cells make their way into surrounding tissue.
Rei Inoue, Professor
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Prof. Inoue studies mathematical physics, in particular integrable systems. Integrable systems is a field that deals with equations and models that have a structure allowing them to be solved exactly. The lab's subjects include the Toda lattice, the box-ball system, and three-dimensional lattice models. In recent joint research, the lab has been using quantum cluster algebras to study solutions of equations that express integrability in three dimensions.
Takashi Imamura, Professor
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Prof. Imamura specializes in probability theory and statistical physics. His research keywords include integrable probability, the KPZ equation (Kardar-Parisi-Zhang equation), and integrable systems. In recent co-authored papers, he has dealt with methods for studying models related to the KPZ equation using free fermions, as well as q-Whittaker polynomials. In the Department of Mathematics and Information Science, he belongs to the probability and statistics area.
Yuzo Maruyama, Professor
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Prof. Yuzo Maruyama studies mathematical statistics, especially the theory of estimation. When estimating quantities such as the mean or variance from data, the lab examines theoretically which method is better. Its main subjects are the admissibility and minimaxity of shrinkage estimators such as the James-Stein estimator. The lab also investigates the properties of estimators constructed with Bayesian statistics, which uses prior distributions.
Michiko Okudo, Associate Professor
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Prof. Michiko Okudo studies the theory of estimation and prediction based on Bayesian statistics. The lab works with prior distributions, which express beliefs held before seeing the data, and in particular with methods that use shrinkage priors. It draws on information geometry, which investigates the shape of the spaces formed by statistical models. Its subjects include the estimation of multivariate normal distributions and covariance matrices, and the properties of Bayesian predictive distributions.
Mitsuru Tada, Professor
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Prof. Mitsuru Tada specializes in cryptography theory. In the Department of Mathematics and Mathematical Informatics, the professor belongs to the mathematical informatics area.
Manabu Hagiwara, Professor
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The Hagiwara Lab studies coding theory, which treats error correction as a branch of mathematics. Coding theory is used in devices and technologies such as smartphones, QR codes, DVDs, and wireless LANs. The lab also works on discrete mathematics, which examines combinatorial structures and enumeration. While keeping industrial applications in mind, the lab values the joy of pure theory.
Takeshi Tsukada, Professor
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Prof. Tsukada studies programming language theory. Using tools such as mathematical logic, category theory, and machine learning, the lab treats programs as mathematical objects. A particular recent interest is game semantics and related models. Another pillar is automated verification, in which machines check whether programs run correctly.
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