Faculty
of
Mathematical Institute, Tohoku
University
(as of October 1, 2004)
English / Japanese
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Institute
- Shigetoshi BANDO, Ph.D.
Differential geometry, with
analytical method, in particular interested in Einstein metrics. Einstein
metrics on real manifolds, Einstein-Kaehler metrics Einstein-Hermitian metrics
on holomorphic vector bundles.
- Masaki HANAMURA, Ph.D.
Algebraic Geometry. In particular, algebraic cycles, cohomology
theories, and theory of motifs.
- Tetsuya HATTORI, D.Sc.
Mathematical physics and probability theory,
with emphasis on renormalization group approaches.
- Masanori ISHIDA, D.Sc.
Algebraic geometry varieties. In particular, complexes of
modules associated to toric algebraic varieties.
- Katsuei KENMOTSU, D.Sc.
Differential geometry. In
particular, submanifold geometry which studies minimal surfaces, constant mean
curvature surfaces and submanifolds with parallel mean curvature in various
spaces.
- Motoko KOTANI, D.Sc.
Differential geometry. In
particular, harmonic maps and related topics. Interested also in Graph
theory.
- Hideo KOZONO, D.Sc.
Mathematical Physics and Functional
Analysis.
- Yasuo MORITA, D.Sc.
Arithmetic geometry and number theory. Especially, the arithmetic of
rational and integral points on algebraic varieties.
- Tetsuo NAKAMURA, D.Sc.
Algebraic number theory. In
particular, abelian varieties (including elliptic curves) and formal groups
over algebraic number fields and over local fields.
- Seiki NISHIKAWA, D.Sc.
Differential geometry. In particular, geometric variational problems,
that is, nonlinear problems arising in geometry and topology studied from the
point of view of global analysis.
- Takayoshi OGAWA, D.Sc.
Real analysis, Harmonic analysis and Applied analysis related to Partial differential
equations.
- lzumi TAKAGI, D.Sc.
Nonlinear partial differential
equations. In particular, reaction-diffusion equations which model biological
pattern formation; and mathematical models of shape transformation in red
blood cells.
- Toyofumi TAKAHASHI, D.Sc.
Algebraic number theory. In
particular, Galois cohomology over number fields and the theory of Drinfeld
modules over function fields.
- Masayoshi TAKEDA, D.Sc.
Probability theory. In
particular, symmetric Markov processes generated by Dirichlet forms and large deviation theory.
- Kazuyuki TANAKA,
Ph.D.
Mathematical logic and theory of computation. More
specifically, models of first and second order arithmetic, reverse
mathematics, descriptive set theory, higher-order computation.
- Eiji YANAGIDA, D.Eng.
Nonlinear
analysis, in particular, reaction-diffusion systems,
nonlinear parabolic
and elliptic problems, and dynamical systems.
- Akihiko YUKIE,
Ph.D.
Invariant theory and number theory.
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- Yohji AKAMA,
D.Sc.
Constructive mathematics.
- Hiroyuki CHIHARA,
D.Sc.
Partial differntial equations. In particular, the initial value
problems for dispersive-type equations describing nonlinear waves.
- Koji FUJIWARA, D.Sc.
Geometric Group Theory. Research subjects include Hyperbolic Groups,
Bass-Serre Theory, Ergodic Theory for discrete groups.
- Nobuo HARA, D.Sc.
Commutative Algebra and Algebraic Geometry. In particular,
ring-theoretic study of singularities of algebraic varieties in positive
characteristic.
- Kazuhiro ISHIGE, D.Sc.
Partial differential equations. In particular, parabolic equations.
- Hiroyasu IZEKI, D.Sc.
Differential geometry. In particular, conformally flat manifolds and
Kleinian groups from the viewpoint of conformal geometry of the ideal
boundary.
- Shoetsu OGATA, D.Sc.
Algebraic geometry. In particular,
topological investigation on cusp singularities and degenerations of
curves.
- Satoru SHIMIZU, D.Sc.
Several complex variables. In
particular, the geometry of complex bounded domains with groups of
automorphisms including Reinhardt domains, tube domains and so on.
- Takashi SHIOYA, D.Sc.
Riemannian geometry and global
analysis. Especially, convergence of Riemannian manifolds, geometry and
analysis on metric a spaces.
- Sumio YAMADA, Ph.D.
Geometry and partial differential equations. In particular, 1) harmonic map and its applications in understanding geometry of moduli spaces, 2) minimal subvarieties, 3) general relativity.
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- Setsuro FUJIIE, D.Sc.
Partial differntial equations. In particular, semiclassical analysis
of Schroedinger equations by means of exact WKB analysis and microlocal
method.
- Koji
HASEGAWA, D.Sc.
Representation theory and its application to integrable systems.
Working on: quantum groups, the Yang-Baxter equation and the two-dimensional
solvable lattice statistical models.
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- Kazuhiro HORIHATA, D.Sc.
Nonlinear partial differential
equations. In particular, its applications to differential geometry and
physics such as harmonic mappings on the Minkowski space and Ginzburg-Landau
equations.
- Takeshi KAJIWARA, D.Math.Sc.
Arithmetic algebraic
geometry. In particular, algebraic geometry with logarithmic structures which
studies degenerations of algebraic varieties and compactifications of various
moduli spaces.
- Gen KUROKI,
M.Sc.
Representaion theory and mathematical physics. In
particular, 2-dimensional conformal field theory, quantum integrable systems,
and the geometric Langlands program for complex algebraic curves.
- Koichi NAGANO, D.Math.
Riemannian geometry. Especially, spaces with non-positive curvature in the
sense of A.D. Alexandrov.
- Atsushi SATO,
D.Sc.
Number theory. In particular, rational points on
algebraic varieties defined over algebraic number fields, and Diophantine
geometry.
- Tokushi SATO, D.Sc.
Nonlinear partial differential
equations. In particular, singular solutions to semilinear elliptic equations
in Euclidean spaces and the structure of the solution spaces by means of
nonlinear functional analysis.
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