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17 labs · 0 student voices
Other departments in School of Science ›Faculties at Kyushu University ›
Fumio Hiroshima, Professor
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Operator theory and operator algebras is a field that studies individual linear operators on Hilbert spaces (infinite matrices) and the algebraic systems they form. The field is described as one whose real appeal lies in analyzing noncommutativity and infinite dimensionality. The faculty members list operator algebras, group actions, spectral analysis, and quantum field theory among their research keywords. At Kyushu University, faculty in the Analysis Division of the Faculty of Mathematics are in charge of this field.
Hirokazu Anai, Professor
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In the field of optimization, the lab treats problems from social phenomena and from science and engineering as constrained extremum problems, and studies the mathematical theory and methods for finding their optimal solutions. The faculty members' research includes optimization problems involving continuous variables, decision-making problems using dynamic programming, and the use of computer algebra and artificial intelligence. Many of the faculty members belong to the Institute of Mathematics for Industry while also holding concurrent positions in the Department of Mathematics of the Faculty of Science and the Graduate School of Mathematics.
Yuzuru Inahama, Professor
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The probability theory field studies probability theory, the mathematical framework for logically analyzing random phenomena. Because the world is full of many kinds of randomness, probability theory has become a research field of wide scope. Each faculty member works on a different subject, such as stochastic analysis, point processes, quantum field theory, and interacting particle systems.
Lin Weng, Professor
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The Representation Theory and Harmonic Analysis field studies sets on which algebraic structures such as groups act, focusing on objects that are invariant under the action as well as objects that are analogous to invariants. When the set consists of functions, the field connects with analysis, and when it has a geometric structure, it connects with geometry as well. It is a field that can be approached not only through algebra but also from many other standpoints. Faculty members of the Faculty of Mathematics, the Institute of Mathematics for Industry, and the Faculty of Arts and Science are part of this field.
Yutaka Ishii, Professor
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The Topology field studies geometric objects such as shapes through the properties that do not change under continuous deformation. It is a relatively new field within mathematics. Faculty research spans a range of perspectives that vary from professor to professor, including algebraic topology, singularity theory, low-dimensional topology, and applied topology. At Kyushu University, the Department of Mathematics in the School of Science and the Graduate School of Mathematics introduce the faculty together as one of their research and education fields.
Hiroshi Yoshida, Associate Professor
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Mathematical biology is a field that studies biological phenomena and ecosystems using theories from mathematics and physics, and at Kyushu University it is led by Associate Professor Hiroshi Yoshida. The aim is to build mathematical models that reproduce phenomena of interest, deepen understanding of those phenomena by analyzing the models, and present predictions that can be tested. Associate Professor Yoshida studies the length ratios of animal limb segments and the regeneration of amputated limbs, using a model that represents a population of multiple cells with multivariable polynomials.
Koji Nuida, Professor
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The mathematical cryptography field uses mathematics to study the cryptographic techniques that secure information in communications and information processing. Both "information" and "security" are abstract concepts, so the field fits naturally with mathematics, which can quantify and handle abstract objects. A wide range of mathematics, including number theory, algebraic geometry, linear algebra, module theory, statistics, and combinatorics, forms the foundation of cryptographic research. Professor Nuida studies secure computation and the mathematical security evaluation of post-quantum cryptography, among other topics, while Associate Professor Ikematsu studies multivariate public-key cryptography.
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