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- Department of Mathematics and System Development
- Mathematical Information Systems
Mathematical Information Systems
Outline of Chair
To make research and education concerning theories and applications of information science and mathematical science.
Research Fields
- Numerical and Mathematical Analysis of Nonlinear Systems
- Studies on Semi-Riemannian Manifolds with Affine Connection and its Conjugate, and
Information Geometry - Research and education about programming languages, software engineering, and distant learning
- Parallel System Model,Message Passing Type Parallel Computing,and Workstation Clustering
- Research of techniques and methods for efficient and effective software development.
- Design and Analysis of Algorithms, Automata and Formal Languages, and Information
Retrieval - Mathematical Specification of Software and its Verification and Automatic Generation
Techniques - Research and Education about the Learning Science/Technology as an Engineering for the Learning Support
- Design and Analysis of Network Security Systems and Network Protocols
- Mathematical Specification of Hardware and its Verification
- Document Image Processing
- Music Sound Synthesis, Automatic Score Transcription, Sound Source Separation, Score
Recognition, Music Representation, Music Database, Automatic Music Composition, and
Music Interface - Artificial Intelligence,Knowledge Engineering,Pattern Recognition and Neural Networks
- Computational Fluid Dynamics (CFD)and its Application to CAE (Computer Aided Engineering)
- Vector Measures on Topological Spaces with Applications to Infinite Dimensional Systems
- Studies on Mathematical Theory of Discrete (Linear)Dynamical Systems in Order to Implement
the Observation and Control of Continuous Systems on Computer" - Study of the various function spaces consisting of analytic functions or other functions.
- First I introduce the pseudo-differential operators,Fourier integral operators,FBI transformation,
Strichart estimates and Fourier restriction norm method.Next I state the applications
of the above to the partial differential equations. - Theory and applications of additive processes,non-Markov processes on fractals.
- An introduction to soliton theory and chaos with applications to nonlinear phenomena in science and engineering.
- Theory of ordinary and modular representations of finite groups and its applications to
association schemes,codes and designs. - Investigation of representation theory of algebras, especially finite group algebras, using
homological methods - We study the theory of stochastic processes including Levy processes from points of both
theoretical and applicable view and also disscuss stochastic Ito analysis. - Representation theory of commutative rings
- Algebraic and geometric structures of topological objects are studied. In particular, the
following topics are discussed :Diffeomorphism groups of smooth manifolds and orbifolds and their geometric subgroups.Algebraic and combinatorial models of function spaces and their applications. - Algebraic and geometric structures of topological objects are studied. In particular, the
following topics are discussed :Diffeomorphism groups of smooth manifolds and orbifolds and their geometric subgroups. Algebraic and combinatorial models of function spaces and their applications. - For the purpose of fostering advanced but fundamental scholarship and profound expert
knowledge, this seminar will be held to carry out exercises concerning the field directly
related to the tasks for study. - In order to make students participate in seminars with attendance of teaching staff and
students of the different but related major fields of study invited from the other chairs or other fields so that respective own research can be developed to the other fields other than the particular major field, this seminar will be held to foster abilities to extend to develop or challenge to the other field. - Under the Chief Guidance Teaching Staff and Vise-Guidance Teaching Staffs, to actively
make research on the theme of study which is decided through discussion with the Chief
Guidance Teaching Staff and to make publication (doctoral thesis)." - Students may be trained practically in any public agency and business enterprise if effectiveness on education is recognized.
Teaching and Research Faculty
Yasunari Shidama
Professor
Information Mathematical Science
Numerical and Mathematical Analysis of Nonlinear Systems
Kazuhiko Takano
Professor
Information Mathematical Science
Studies on Semi-Riemannian Manifolds with Affine Connection and its Conjugate, and Information Geometry
Hiroshi Yamazaki
Assistant Professor
Information Mathematical Science
Mathematical Morphology, Finite Topology and those Applications
Hiroyuki Okazaki
Assistant Professor
Information Mathematical Science
Mathematical Development of Cryptosystems
Katsumi Wasaki
Professor
Information Processing
Parallel System Model,Message Passing Type Parallel Computing,and Workstation Clustering
Shinpei Ogata
Assistant Professor
Information Processing
Research of techniques and methods for efficient and effective software development
Hiroaki Yamamoto
Professor
Information Processing
Design and Analysis of Algorithms, Automata and Formal Languages, and Information Retrieval
Hiroshi Fujiwara
Associate Professor
Information Processing
Design and Analysis of Algorithms, Online Optimization, and Functional Analysis
Kawamoto, Pauline・Naomi
Associate Professor
Information Processing
Mathematical Specification of Software and its Verification and Automatic Generation Techniques
Mizue Kayama
Professor
Information Processing
Research and Education about the Learning Science/Technology as an Engineering for the Learning Support
Yasushi Fuwa
Professor
Information Processing
Design and Analysis of Network Security Systems and Network Protocols
Masaaki Niimura
Associate Professor
Information Processing
Mathematical Specification of Hardware and its Verification
Hisayoshi Kunimune
Assistant Professor
Information Processing
Education and learning support system based on information and communication technology
Minol Maruyama
Professor
Artificial Intelligence
Artificial Intelligence,Knowledge Engineering,Pattern Recognition and Neural Networks
Hidetoshi Miyao Associate Professor Artificial Intelligence
Music Sound Synthesis, Automatic Score Transcription, Sound Source Separation, Score Recognition, Music Representation, Music Database, Automatic Music Composition, and Music Interface
Keiichiro Shirai
Assistant Professor
Artificial Intelligence
Image Fusion and Separation, Restoration, Colorization and Transform, Filtering, Pattern Recognition
Jun Kawabe
Professor
Mathematical Analysis
Vector Measures on Topological Spaces with Applications to Infinite Dimensional Systems
Akito Suzuki
Associate Professor
Mathematical Analysis
Studies on mathematical quantum field theory and partial differential equations in mathematical physics
Hiromichi Ohno
Associate Professor
Mathematical Analysis
Studies of non-commutative probability spaces associated with operator algebras and states.
Mamoru Okamoto
Assistant Professor
Mathematical Analysis
Study on nonlinear dispersive equations and nonlinear wave equations
Hiroyuki Takagi
Professor
Mathematical Analysis
Study of the various function spaces consisting of analytic functions or other functions.
Wataru Ichinose
Professor
Mathematical Analysis
First I introduce the pseudo-differential operators,Fourier integral operators,FBI transformation, Strichart estimates and Fourier restriction norm method.Next I state the applications of the above to the partial differential equations.
Yasushi Taniuchi
Professor
Mathematical Analysis
First I introduce the pseudo-differential operators,Fourier integral operators,FBI transformation, Strichart estimates and Fourier restriction norm method.Next I state the applications of the above to the partial differential equations.
Kazuaki Nakayama
Associate Professor
Information Analysis
An introduction to soliton theory and chaos with applications to nonlinear phenomena in science and engineering.
Yoshiki Otobe
Associate Professor
Information Analysis
We study the theory of stochastic processes including Levy processes from points of both theoretical and applicable view and also disscuss stochastic Ito analysis.
Xie Bin
Associate Professor
Information Analysis
Study on stochastic differential equations, which are usually used to characterize variously random phenomenon
Itaru Sasaki
Associate Professor
Information Analysis
Spectral analysis of Hamiltonians appearing in the quantum field theory
Akihide Hanaki
Professor
Research of Algebraic Structure
Theory of ordinary and modular representations of finite groups and its applications to association schemes,codes and designs.
Hiroki Sasaki
Professor
Research of Algebraic Structure
Investigation of representation theory of algebras, especially finite group algebras, using homological methods
Kentaro Wada
Assistant Professor
Research of Algebraic Structure
Representation and structure theory of algebras by homological algebra
Yasuhide Numata
Associate Professor
Research of Algebraic Structure
Representation and structure theory of algebras by homological algebra
Dai Tamaki
Professor
Algebraic and Geometric Topology
Algebraic and geometric structures of topological objects are studied. In particular, the following topics are discussed :Diffeomorphism groups of smooth manifolds and orbifolds and their geometric subgroups.Algebraic and combinatorial models of function spaces and their applications.
Katsuhiko Kuribayashi
Professor
Algebraic and Geometric Topology
Algebraic and geometric structures of topological objects are studied. In particular, the following topics are discussed :Diffeomorphism groups of smooth manifolds and orbifolds and their geometric subgroups.Algebraic and combinatorial models of function spaces and their applications.
Kiyonori Gomi
Associate Professor
Algebraic and Geometric Topology
Algebraic and geometric structures of topological objects are studied. In particular, the following topics are discussed :Diffeomorphism groups of smooth manifolds and orbifolds and their geometric subgroups.Algebraic and combinatorial models of function spaces and their applications
Keiichi Sakai
Assistant Professor
Algebraic and Geometric Topology
Algebraic and geometric structures of topological objects are studied. In particular, the following topics are discussed :Diffeomorphism groups of smooth manifolds and orbifolds and their geometric subgroups.Algebraic and combinatorial models of function spaces and their applications
Atsuko Katanaga
Associate Professor
Algebraic and Geometric Topology
Algebraic and geometric structures of topological objects are studied. In particular, the following topics are discussed :Diffeomorphism groups of smooth manifolds and orbifolds and their geometric subgroups.Algebraic and combinatorial models of function spaces and their applications
