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137 labs · 6 student voices
Faculties at Kyoto University ›
Masanori Hino, Professor
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The Hino Lab studies stochastic analysis, Dirichlet forms, and Markov processes in the field of probability theory. The lab investigates the properties of randomly moving particles (diffusion processes) on fractals such as the Sierpinski gasket. Prof. Hino has also written a textbook, "Fundamentals of Lebesgue Integration" (in Japanese).
Yasuaki Hiraoka, Professor
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The Hiraoka Lab studies topological data analysis within the field of applied mathematics. Using persistent homology, representation theory of algebras, random topology, and machine learning, the lab develops new descriptors for complex data. In applied research, the lab focuses mainly on problems in materials science and life sciences.
Osamu Fujino, Professor
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The Fujino Lab studies the birational geometry of higher-dimensional algebraic varieties within the field of algebraic geometry. The lab mainly studies minimal model theory. Complex algebraic geometry and Hodge theory are also among its research areas.
COLLINS Benoit, Professor
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The Collins Lab mainly studies random matrix theory and its applications. The lab also pursues research out of interest in free probability, quantum information theory, operator algebras, and quantum group theory.
Yasunori Maekawa, Professor
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The lab studies nonlinear partial differential equations using methods from functional analysis and real analysis. Centering on the Navier-Stokes equations, the fundamental equations of fluid dynamics, it investigates whether solutions exist and how those solutions behave. It also studies the various mathematical structures of these equations, such as the dissipation of energy that arises from nonlinear interactions.
Kenichi Yoshikawa, Professor
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The lab studies analytic torsion and the Quillen metric in the field of complex geometry. Its main research themes are the moduli spaces of these objects and their applications to automorphic forms. It also works on constructing invariants of Calabi-Yau type manifolds using analytic torsion.
Tadayuki Watanabe, Professor
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The lab studies diffeomorphism groups and spaces of embeddings in the field of topology. Finite type invariants of 3-manifolds and knots are also among its research themes. Through collaborative research, it works on distinguishing families of deformations of shapes using invariants constructed from graphs.
Hiraku Atobe, Associate Professor
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The Atobe Lab studies automorphic forms and automorphic representations in number theory. Its main themes are the representation theory of p-adic algebraic groups and local A-packets. The lab also works on the classification of representations of p-adic classical groups.
Tetsushi Ito, Associate Professor
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The Ito Lab studies arithmetic geometry within number theory. One of its research themes is the weight-monodromy conjecture in equal characteristic. In collaborative research, the lab investigates curves over finite fields and the properties of varieties in positive and mixed characteristic.
Yosuke Kubota, Associate Professor
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The Kubota Lab specializes in noncommutative geometry and studies the topological aspects of objects arising in functional analysis. It aims to apply the theory of operators and of the algebras they form to geometry and condensed matter physics. Along the way, the lab also works on large-scale geometry (coarse geometry), which views groups and metric spaces from afar.
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