English-based Program Application Code. A01 A51 Associate Professor. A03 - Professor. A04 A54 Professor. A06 A56 Professor

Transcription

1 Logic and Set Theory Set Theory Research on mathematical logic and axiomatic set theory. In particular large cardinal, forcing, and application to set-theoretic topology. A01 A51 Associate Professor of Information Science (Nagoya University) USUBA, Toshimichi Number Theory We investigate number theoretical properties of abelian extensions of algebraic number fields constructed using special values of analytic functions. A03 - Professor (Tokyo Institute of Technology) KOMATSU, Keiichi Number Theory and Theory of Special Functions Galois Theory, Arithmetic ic, and arithmetic research on s and ic Groups. A04 A54 Professor (The HASHIMOTO, Kiichiro ic ic. In particular, I am interested in projective geometry of algebraic varieties. Keywords: Gauss map, dual variety, secant variety, homogeneous projective variety, algebraic geometry in positive characteristic, graded Lie algebra, triple system. A06 A56 Professor KAJI, Hajime ic We study higher dimensional algebraic varieties, in particular, varieties with trivial canonical bundle, emphasizing algebro-geometric structures such as birational contractions, fiber space structures, and moduli. Rather than pursuing abstract general theory, we focus on concrete situations. We are also interested in related topics such as birational geometry, moduli spaces of semi-stable sheaves, and degeneration of algebraic varieties. A42 A92 Associate Professor of Philosophy in Sciences (The NAGAI, Yasunari ic Number Theory We study the arithmetic properties of the pro-p-extensions of algebraic number fields by applying Iwasawa theory. A43 A93 Professor OZAKI, Manabu Topology Research on topology using representation-theoretic methods. A08 A58 Professor (Osaka University) MURAKAMI, Jun 56/110

2 Topology Low dimensional dynamical systems. A09 A59 Associate Professor WATANABE, Nobuya ic Application of algebraic analysis to research on integrable systems, special functions, and number theory. - A60 Professor UENO, Kimio Research on differential geometry and global analysis on manifolds. - A83 Professor HOMMA, Yasushi Hyperbolic geometry Research on hyperbolic geometry and function theory from a geometric viewpoint, especially hyperbolic discrete groups and Teichmueller spaces. - A88 Professor MATSUZAKI, Katsuhiko Research on integrable systems from the viewpoint of geometry. In particular, harmonic maps, loop groups, quantum cohomology, D-modules and integrable systems. A47 A97 Professor of Philosophy (University of Oxford) GUEST, Martin Complex Analytic Research on complex analytic geometry. In particular, moduli of Riemann surfaces, Teichmuller theory and complex hyperbolic geometry. A49 A99 Professor KOMORI, Yohei Functional Application of functional analysis(banach algebra theory) to analytic number theory, function theory, and probability theory. - - Professor TANAKA, Junichi 57/110

3 To study the uniqueness, existence and asymptotic behaviour of solutions to Theory of Partial nonlinear partial differential equations appearing in fluid mechanics and Differential Equations elastodynamics. A13 A63 Professor (University of Tsukuba) SHIBATA, Yoshihiro Theory of partial differential equations, particularly research on partial Theory of Partial differential equations in which deep results in real analysis are used in an Differential Equations essential way. A14 A64 Professor (The YAMAZAKI, Masao Theory of Nonlinear Partial Differential Equations We study the asymptotic behavior of solutions to the wave equation, diffusion equation and damped wave equation which are the typical partial differential equations in mathematical physics. - A67 Professor NISHIHARA, Kenji Functional Theory of partial differential equations, particularly the Navier-Stokes and Non-linear Partial equation describing the motion of fluids, and related partial differential Differential Equations equations. A48 A98 Professor (Hokkaido University) KOZONO, Hideo Nonlinear Variational methods and their applications to nonlinear differential equations, especially nonlinear elliptic problems and periodic orbits of Hamiltonian systems. - A86 Professor TANAKA, Kazunaga Non-linear Functional Various types of nonlinear partial differential equations arising in Physics are studied mainly from the viewpoint of the variational method. - A72 Professor (The OTANI, Mitsuharu Harmonic and Nonlinear hyperbolic partial differential equations, nonlinear dispersive Nonlinear Partial partial differential equations, theory of function spaces, Fourier analysis. Differential Equations - A77 Professor OZAWA, Tohru 58/110

4 Real Topics in real analysis, theory of function spaces - A84 Professor (Keio University) SOBUKAWA, Takuya Materials Engineering Non-equilibrium, non-linear thermodynamics. A19 A69 Professor (The University of Tokyo) ITO, Kimihisa Structures of Materials Microstructures of materials and topology,especially geometric topology from the view point of dimension theory. - A96 Professor (University of Tsukuba) KOYAMA, Akira Nonlinear Systems, especially nonlinear wave theory and soliton theory focused on discrete systems. A21 A71 Professor (The University of Tokyo) TAKAHASHI, Daisuke Nonlinear Systems Research on nonlinear parabolic equations and elliptic equations. In particular we study properties of solutions, and the structure of solutions, for reaction-diffusion equations appearing in physics, chemical reactions and mathematical biology. A23 A73 Professor (Nagoya University) YAMADA, Yoshio Nonlinear Systems Research on nonlinear mathematical physics, nonlinear waves and applied integrable systems A02 A52 Associate Professor (Kyushu University) MARUNO, Kenichi Theory of Relativity Analytical and mathematical research concerning the theory of relativity. - A74 Professor YONEDA, Gen 59/110

5 Applied Probabilistic Models We study social, economic and physical phenomena by modeling them as probabilistic models, and apply probability and other mathematical theories to understand them. - A89 Professor TOYOIZUMI, Hiroshi Computing Language and Speech Aiming at scientific investigation of spoken and written language and their engineering applications, we study computational modeling and analysis using statistical methods and optimization schemes. A40 A90 Professor SAGISAKA, Yoshinori Economics and Game Theory Theory and applications of mathematical economics and game theory. Topics of research include general equilibrium theory, mechanism design, matching theory, auction theory, power indices of voting, social choice theory. - A94 Professor of Philosophy (University of Rochester) SASAKI, Hiroo Computational Numerical Research on numerical analysis and computing environments, especially the development of numerical computation with result verification and its applications. A25 A75 Professor OISHI, Shinichi Computational Numerical Theoretical research on numerical analysis. In particular, research on numerical analysis with guaranteed accuracy. New computational methods which give numerical results and error bounds simultaneously. A26 A76 Professor KASHIWAGI, Masahide Computational Information Theory Information Theory, Coding Theory, Cryptographic Theory and their applications. - A78 Professor MATSUSHIMA, Toshiyasu Statistics, Time Series and Finance Development of fundamental theory for statistical analysis of stochastic processes and research on optimal statistical inference. Their applications to financial time series analysis and statistical financial engineering. A31 A81 Professor (Osaka University) TANIGUCHI, Masanobu 60/110

6 Applied Statistics Research on regression analysis, multivariate analysis and statistical asymptotic theory. A32 A82 Professor INOUE, Kiyoshi Statistical for Stochastic Processes, Insurance Statistical analysis for continuous time stochastic processes, insurance mathematics (actuarial sciences), risk theory and their fusional studies. A07 A57 Associate Professor of Science (The SHIMIZU, Yasutaka Statistical Inference for Stochastic Processes Research on methods of analysis in high-dimensional statistical models based on the theory of martingales. A18 A68 Associate Professor of Philosophy (Utrecht University) NISHIYAMA, Yoichi 61/110