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6 labs · 0 student voices
Other departments in Graduate School of Information Science and Technology ›Faculties at The University of Osaka ›
Makoto Nakamura, Professor
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The Geometric Analysis Lab develops the theory of nonlinear partial differential equations on geometric spacetimes, such as the homogeneous and isotropic spacetimes of general relativity. It aims to clarify theoretically how spatial curvature, expansion, and contraction affect the solutions of these equations. The lab also works on clarifying the topological and differentiable structures of manifolds. The department's page introduces the research topic of Professor Makoto Nakamura as nonlinear partial differential equations, and that of Associate Professor Koichi Yasui as low-dimensional topology.
Akihiro Higashitani, Associate Professor
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The Discrete Geometry Lab studies the properties of convex polytopes from both geometric and combinatorial perspectives. Commutative rings associated with convex polytopes are also a subject of study. Through this research and education, the lab also aims at applications in information science. The lab's faculty describe their research topic as algebraic combinatorics.
Yasuhiro Wakabayashi, Associate Professor
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The Discrete Structures Lab conducts education and research on representation theory based on algebra, and also works on research using the methods and perspectives of arithmetic geometry. While conducting education and research on a variety of representation theories, the lab aims to apply them to the analysis of discrete structures that appear in mathematics and information science. It also tackles a variety of problems using the methods and perspectives of arithmetic geometry. The lab is part of the Department of Mathematical Foundations of Information Science, and its listed research topic is "Arithmetic Geometry and Moduli Theory."
Yoshie Sugiyama, Professor
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The Applied Analysis Lab studies a wide range of nonlinear phenomena that appear in mathematical physics and information science, modeling them as dynamical systems using differential equations, difference equations, and similar tools. To carry out the analysis, the lab develops and applies new analytical and numerical-experimental methods, aiming to elucidate the principles underlying these phenomena. Another goal is to feed the results back into analysis itself. Professor Yoshie Sugiyama's research topic is partial differential equations, and Associate Professor Tsuyoshi Chawanya's is dynamical systems with many degrees of freedom.
Katsuhisa Mimachi, Professor
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The Large-Scale Mathematical Sciences Lab promotes education and research in mathematics, including the theory of complex analytic differential equations, topology, algebraic geometry, and representation theory, as well as in applied large-scale mathematics within mathematical physics. The mathematical physics it addresses has its origins in statistical mechanics and quantum field theory. The faculty are Professor Katsuhisa Mimachi, who specializes in complex integrals, representation theory, and mathematical physics, and Associate Professor Norio Nawata, who specializes in the theory of operator algebras. Within the department, faculty members collaborate freely in research and education, beyond the boundaries of their own labs.
Daisuke Furihata, Professor
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The Computer Experimental Mathematics Lab studies applied mathematics in the broad sense. Most of its research themes are methods for, and analysis of, the numerical analysis of (partial) differential equations. The lab also works on mathematical modeling, stochastic differential equations, and data assimilation. Students' research topics are chosen with priority given to their own interests, and a wide range of topics have been selected, such as algorithms for binary classification and matching problems. On the lab's website, it is introduced under the name “Computer Experimental Science Research Division.”
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