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Other departments in School of Science ›Faculties at The University of Osaka ›
Atsushi Takahashi, Professor
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The Algebra Lab belongs to the Department of Mathematics in the Graduate School of Science and the School of Science at The University of Osaka. Its faculty members work in fields such as number theory and algebraic geometry. In number theory, there is a faculty member who studies automorphic representations. In algebraic geometry, there are faculty members who study Fano varieties and the singularities of shapes defined by algebraic equations. The research areas listed by faculty members also include complex geometry, mathematical physics, representation theory, topology, and combinatorics.
Shinichi Ohta, Professor
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The Geometry Lab is a group of faculty members in the Department of Mathematics who study differential geometry, topology, and related fields. On the Department of Mathematics staff pages, Professor Shinichi Ohta lists differential geometry and geometric analysis as research areas, and Professor Seiichi Kamada lists topology and low-dimensional topology. Lecturer Kazunori Kikuchi works in differential topology, Assistant Professor Yasuhiro Hara in transformation groups and topology, and Associate Professor Yoshihiko Matsumoto in differential geometry and several complex variables. Assistant Professor Kenshiro Tashiro studies sub-Riemannian manifolds, a type of space, using optimal control theory and optimal transport theory.
Soichiro Katayama, Professor
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The Analysis Lab is one of the divisions of the Department of Mathematics, Graduate School of Science, Osaka University (School of Science, Department of Mathematics), and its faculty specialize in partial differential equations, probability theory, algebraic analysis, and related areas. The staff list gives the faculty members' specialties as nonlinear partial differential equations, partial differential equations, probability theory, free probability theory, ergodic theory, algebraic analysis, and microlocal analysis. In probability theory, one faculty member has studied the behavior of Lévy processes, a class of stochastic processes (models describing the random evolution of a phenomenon over time), and stochastic control of models built on them. Another faculty member takes the viewpoint of algebraic analysis and seeks a unified understanding of the general principles common to problems involving differential equations.
Masashi Ishida, Professor
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The Global Mathematics Lab is a division of the Department of Mathematics, Graduate School of Science, Osaka University, and its faculty specialize in differential geometry, complex geometry, complex analysis, nonlinear partial differential equations, and algebraic geometry. Professor Goto studies the geometries known as special geometries, such as Calabi–Yau manifolds, from a viewpoint that treats them in a unified way. Professor Yamanoi studies problems in complex geometry and complex analysis from the standpoint of Nevanlinna theory. Associate Professor Iwai investigates the structure of algebraic varieties from the standpoint of complex geometry and algebraic geometry.
Toshikazu Kuniya, Professor
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The Experimental Mathematics Lab is one of the divisions of the Department of Mathematics, Graduate School of Science, Osaka University, and it studies number theory, algebraic geometry, and mathematical biology. The faculty members' specialties are mathematical biology, number theory, algebraic number theory, and algebraic geometry. Topics that appear in the faculty members' research descriptions include differential equations describing the spread of infectious diseases, the relationship between L-functions and Selmer groups, and quotients of algebraic varieties and derived categories.
Naohito Tomita, Professor
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The Applied Mathematics Lab is a research unit in the Department of Mathematics, with professors who study partial differential equations, probability theory, real analysis, and algebraic geometry and group theory. Associate Professor Itsuko Hashimoto studies the equations that describe the motion of compressible fluids as partial differential equations. Assistant Professor Kohei Hayashi works on probability theory, which explains macroscopic phenomena starting from random microscopic systems. The staff page of the Department of Mathematics introduces the research area of each professor.
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