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1,223 labs · 43 student voices
Yasuhiko Asao, Associate Professor
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Associate Professor Yasuhiko Asao's lab is a mathematics lab interested in algebraic topology, magnitude theory, and their applications. The lab is part of the Division of Advanced Mathematical Technology at the Institute of Mathematics for Industry. The professor also holds concurrent appointments in the Graduate School of Mathematics, Department of Mathematics, and the Faculty of Science, Department of Mathematics.
Ryoya Fukasaku, Associate Professor
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Associate Professor Ryoya Fukasaku's lab studies the development and application of algebraic computation methods. Its main research area is computer algebra. The lab has made quantifier elimination more efficient and implemented it in the computer algebra system Maple. Quantifier elimination is a method that, given a first-order formula, computes a quantifier-free formula that is equivalent to it over the real field. Recently, the lab has also begun applying computer algebra methods over the real numbers to the mathematical sciences.
Atsushi Tero, Associate Professor
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The Mathematical Modeling and Adaptive Networks Lab studies the behavior and intelligence of living things using mathematical models. The lab describes the behavior of single-celled organisms such as true slime molds with equations and reproduces it on a computer to explore the origins of intelligence. Another research theme is how behavior is controlled, approached through the relationship between periodic movements such as walking and the body's internal state. The lab is part of the Applied Theory Division at the Institute of Mathematics for Industry.
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.
Hayato Waki, Professor
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This optimization and mathematical programming lab (Professor Hayato Waki) studies optimization problems involving continuous variables. The lab previously published papers on developing algorithms for optimization problems, but it is now interested in using the properties of optimization problems to investigate the structure of the phenomena and problems they model. The lab works on semidefinite programming problems and studies, for example, the relationship between the convergence rate of the method of alternating projections and the properties of the problem.
Masatoshi Kitagawa, Associate Professor
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Associate Professor Masatoshi Kitagawa studies the representation theory of Lie groups, in particular a problem known as branching laws. A branching law concerns how an irreducible representation of a group behaves when it is restricted to a subgroup. Using modules over Lie algebras and D-modules on algebraic varieties as tools, the lab studies the structure of representations algebraically.
Kei Hirose, Professor
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The Hirose Lab researches and develops new statistical analysis methods based on mathematical statistics. It also incorporates ideas from methods used in machine learning. Analyzing large-scale data such as genetic data requires statistical models with tens of thousands to hundreds of millions of parameters. The lab is therefore working on new methods of sparse estimation, which extract useful information by estimating most of a large number of parameters as exactly zero.
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