KMRG

Kanazawa Mathematics
and mathematical science Research Group

This is the portal site for research of KMRG.

Organized by

Members of mathematics course and computational mathematics education program:

Faculty of Mathematics
and Physics, Institute
of Science and Engineering, Kanazawa
University.

(A fluid motion
simulated by Prof. Notsu.)

Annual Projects and News

Research
Groups (* is the leader):

Each member of KMRG belongs to one of the following sub-groups
(Algebra, Geometry, and
Analysis
, only for
convenience).

Many faculty have interests that cut across the groups and the
fields continue to evolve.

To develop our future
research (and to get feeling of unity), we organize Mathematical
Colloquim by invited speakers.

See Laboratory Portraits and Annual Projects and News for further
details of our research.

We all welcome to your contact with us for research.

Algebra Group

Research Areas:

Number theory, Automorphic forms, Representation theory;

Algebraic geometry, Commutative algebra,

Algebraic combinatorics
(association scheme, spin model, coding theory, invariant theory, modular
form);

etc.

Members:

WAKATSUKI^{*},
Satoshi: Number theory, Automorphic forms, Trace formula, Shintani zeta
function.

HAYAKAWA, Takayuki: Algebraic geometry.

OURA, Manabu: Algebraic combinatorics.

SUGANO, Takashi: Number theory, Automorphic forms, Automorphic L function.

Seminar associated with Algebra Group:

Hokuriku Suron Seminar (Number theory seminar)

Geometry Group

Research Areas:

Geometric analysis (harmonic functions and the heat equation
on complete manifolds,

harmonic mappings of finite enegy, and potential
theory on trancient networks);

Low dimensional topology (knot, quantum
invariant);

Value distribution theory, the Kobayashi hyperbolicity of
complex manifolds;

Hyperbolic geometry (Riemannian surfaces, the Teichmuller
spaces,

volume formulae of polyhedra in the three-dimensional hyperbolic
space);

etc.

Members:

KASUE^{*},
Atsushi: Geometry.

IWASE, Zjuñici: Topology of low-dimensional manifolds.

KAWAGOE, Kenichi: Low dimension topology.

KAWAKAMI, Yu: Differential geometry, Complex geometry, Complex analysis, Surface theory.

USHIJIMA, Akira: Low-dimensional topology, Hyperbolic geometry.

Analysis Group

Research Areas:

Theoretical and numerical study of mathematical models for
physics, chemistry, economics, and engineering;

Non-linear elliptic
equations; Reaction-diffusion systems;

Dynamical systems
(integrableHamiltonian systems and their perturbations);

Functional analysis
(operator theory, spectral analysis, quantum mechanics));

Hypergeometric
functions;

Computer algebra;

Probability theory based on the
measure theory, limit theorems related to the number theory;

etc.

Members:

KIMURA^{*},
Masato: Mathematical modeling, Numerical simulation.

IKOMA, Norihisa: Nonlinear elliptic partial differential equations, Geometric analysis.

ITO, Hidekazu: Dynamical systems.

NAGOYA, Hajime: Differential equations in the complex domain, Representation theory, Conformal field theory.

NAKAMURA, Ken-ichi: Nonlinear partial differential equations, Reaction-diffusion systems.

NOTSU, Hirofumi: Computational fluid dynamics, Numerical analysis, Finite element method.

OGURISU, Osamu: Mathematical physics. Functional analysis.

OHARA, Katsuyoshi: Complex analysis, Computer mathematics, Numerical analysis.

OHTSUKA, Hiroshi: Variational problems, Nonlinear partial differential equations.

OMATA, Seiro: Variational problem, Numerical analysis.

POZAR, Norbert: Partial differential equation.

TAKANOBU, Satoshi: Probability theory, Limit theorem.

Collaborative members:

SATO, Makoto (Laboratory of Developmental Neurobiology): Mathematical Biology.

WADADE, Hidemitsu (Faculty of Mechanical Engineering): Real Analysis.

Seminars associated with Analysis Group:

Workshop on
Mathematical Analysis for Nonlinear Phenomena

Hamiltonian
dynamical system Seminar

Return to

Mathematics course , Computational mathematics education program,

Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University.

Last update: 7, Sep., 2017