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Other departments in Institute of Mathematics for Industry ›Faculties at Kyushu University ›

Hiroyuki Ochiai, Professor
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Prof. Ochiai's lab conducts research specializing in algebraic analysis, centered on mathematics and the mathematical sciences. The lab mainly investigates special functions that appear in representation theory. The lab belongs to the Institute of Mathematics for Industry and also supervises graduate students of the Graduate School of Mathematics. As part of the results of joint research with industry, the lab received the Prize for Science and Technology in the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology in 2014, together with its collaborators.

Ryoko Tomiyasu, Professor
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Prof. Tomiyasu's lab develops algorithms and applications for discrete structures such as lattices, integer rings, and point configurations in Euclidean space and on manifolds. Its main tools are the theories of geometry of numbers, algebraic number theory, discrete mathematics, and convex optimization, together with analytic methods related to the diffraction theory of crystals. In addition to activities in mathematical crystallography, including interdisciplinary collaboration, the lab also addresses problems with concrete applications in numerical analysis and in materials science dealing with atomic structures. The lab also conducts joint research in scientific fields as a place to find new problems in mathematics.

Osamu Saeki, Professor
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Prof. Saeki's lab studies the overall structure of manifolds, which are geometric objects, using singularities of differentiable maps as a clue. By restricting singularity types to simple ones or focusing on low dimensions, the lab investigates the relationship between maps between manifolds and the structure of manifolds. The lab studies a wide range of areas of topology and also works on DNA knots and visual analysis of multi-valued function data.

Tomoyuki Shirai, Professor
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Professor Tomoyuki Shirai studies probability theory, especially point processes, which describe random arrangements of points. Building on the properties of eigenvalues of random matrices, the lab constructs random point fields called determinantal point processes and explores their generalizations. The lab is also interested in the relationships among random walks on graphs, the spectrum of the Laplacian, and the geometric properties of graphs, and has recently begun research on random topology.

Hiroyuki Ochiai, Professor
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The Algebraic Analysis and Representation Theory Lab specializes in algebraic analysis and focuses on special functions that appear in representation theory. The lab conducts research centered on mathematics and the mathematical sciences. The lab also carries out joint research with industry. As part of the results, it received the Prize for Science and Technology in the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology in fiscal 2014, together with its collaborators. Prof. Ochiai's website also has a page that explains the ABC conjecture in a way that even elementary school students can understand.

Ryoko Tomiyasu, Professor
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Prof. Tomiyasu's lab develops algorithms and applications for discrete structures such as lattices, rings of integers, and point configurations. The lab's tools come from mathematics such as the geometry of numbers, algebraic number theory, discrete mathematics, and convex optimization. The lab also handles problems with concrete applications in numerical analysis and in materials science dealing with atomic structure. The lab's activities, including cross-disciplinary collaboration, take place in mathematical crystallography, where the geometry of numbers, algebraic computation, harmonic analysis, and the generation of packings and meshes can all be used.

Osamu Saeki, Professor
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The lab studies topology, investigating the overall shape of manifolds, which are geometric objects, by using the singularities of differentiable maps defined on them as clues. By restricting the types of singularities to simple ones, or focusing on low-dimensional cases, the lab investigates how singularities relate to the structure of manifolds. The lab also works broadly across many areas of topology, including knots, 4-manifolds, and isolated singularities of complex hypersurfaces. It also works on applications of topology, such as the visual analysis of DNA knots and multivalued function data, and is interested in studying the properties of matter and materials from a topological viewpoint.

Tomoyuki Shirai, Professor
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Within probability theory, the lab studies determinantal point processes, which describe how points are scattered at random. By extracting the fermionic nature of eigenvalues of random matrices, the lab constructed this model of point configurations. The lab is also interested in the relationships among random walks on graphs, the spectrum of the Laplacian, and the geometric properties of graphs. Recently, the lab has also been studying random topology.
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