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17 labs · 0 student voices
Other departments in School of Science ›Faculties at Kyushu University ›
Lin Weng, Professor
0 student voices
The Algebraic Geometry Lab studies the shapes formed by the common zeros of polynomials. It is a research field that untangles the complexity of shapes from multiple viewpoints, including algebra and topological analysis, and discovers their mysterious forms. The field is also deeply connected to commutative algebra, the theory of complex manifolds, and arithmetic geometry. Faculty research includes rationally connected varieties, the Oka principle, and algebraic K-theory.
Yutaka Ishii, Professor
0 student voices
The lab builds on single-variable complex analysis (function theory), which students study as undergraduates, by considering several variables and carrying out analysis on complex manifolds. Professor Yutaka Ishii works on complex dynamical systems and fractals, and Professor Joe Kamimoto works on several complex variables and partial differential equations. Associate Professor Yuta Kusakabe studies the Oka principle, the homotopy principle of complex analysis, from the standpoint of several complex variables and complex geometry.
Hirokazu Anai, Professor
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The lab provides education and research in mathematical informatics and numerical analysis, which is the mathematics of computers. It studies how to implement, as software, the many kinds of mathematical phenomena that arise in the natural sciences, engineering, and information science. The faculty's specialties include optimization, cryptography, numerical analysis, computer algebra, multivariate analysis, and mathematical modeling. Most of the faculty belong to the Institute of Mathematics for Industry, and some belong to the Faculty of Mathematics.
Kenji Kajiwara, Professor
0 student voices
The differential equations lab is a research and education field that studies differential equations in the Faculty of Science's Department of Mathematics and the Graduate School of Mathematics at Kyushu University. Differential equations are closely connected not only to mathematics but also to many areas of science, so the field of research is very broad and diverse. Broadly, they include ordinary differential equations, partial differential equations, and stochastic differential equations. The faculty's research keywords include partial differential equations, dynamical systems, numerical analysis, and mathematical modeling.
Lin Weng, Professor
0 student voices
Differential geometry is a field that seeks to understand the geometric properties of shapes through how they curve (curvature). It has one of its origins in Gauss's theory of surfaces, and it is connected with many other fields, including topology, integrable systems, and information theory. The faculty's research includes the geometry of Alexandrov spaces, the Oka principle in complex analysis, and compact quotients of homogeneous spaces.
Yutaka Ishii, Professor
0 student voices
A dynamical system is a mathematical formulation of rules that describe time evolution. Typical examples are the equations of motion (ordinary differential equations) that describe the motion of celestial bodies and spinning tops. Dynamical systems also appear in many areas of physics and in models of chemical reactions, ecology, and economics. Mathematical research itself also naturally defines many kinds of dynamical systems, and the goal of dynamical systems theory is to investigate their properties. The faculty in this field specialize in dynamical systems as well as applied analysis and several complex variables, among other areas.
Kenji Kajiwara, Professor
0 student voices
The Infinite-Dimensional Integrable Systems research and education group studies equations and systems that appear in nonlinear waves, statistical physics, and field theory. Even systems that would normally seem difficult to analyze can sometimes be studied rigorously and in detail thanks to a good underlying mathematical structure, and this field mainly deals with such cases. The field is described as one where algebra, geometry, analysis, and applications all intersect, letting students experience the original appeal of mathematics. The faculty specialize in discrete differential geometry, integrable systems, mathematical physics, quantum topology, and more.
Fumio Hiroshima, Professor
0 student voices
The field of mathematical physics here studies mathematical problems that originate in quantum field theory, statistical mechanics, and fluid dynamics. It aims to solve these problems using analytic methods such as functional analysis and probability theory. It is not bound by existing methodologies, and where necessary also aims to develop new mathematics. The research areas of the faculty members include quantum field theory, spectral analysis, quantum topology, and optimal transport theory.
Shuichi Kawano, Professor
0 student voices
The field of mathematical statistics conducts research that theoretically clarifies the properties of the statistical and computational methods needed to analyze various kinds of data. It proposes new data analysis methods, verifies their effectiveness, and also conducts applied research in various sciences. The research keywords of the faculty members include mathematical statistics, statistical science, computational statistics, sparse estimation, multivariate analysis, Bayesian estimation, and model selection.
Weng Weng, Professor
0 student voices
The field of number theory studies various mathematical objects related, directly or indirectly, to numbers. Its objects of study include algebraic varieties and motives, automorphic forms and automorphic representations, and the associated Galois representations and zeta functions and L-functions. Analogies between number-theoretic objects and topological objects (especially in knot theory) are also studied. The methods draw on algebra, geometry, and analysis alike; the field has close ties to representation theory, and computers can be actively used.
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