ABOUT AMS
The essence of science is to derive principles from observations, thus
revealing simple structures behind what appears to be a complex
phenomenon. Mathematical sciences, in particular, use mathematical
approaches to investigate "mathematical models", which are derived
experimentally. The modern frontier of mathematical sciences considers
various new mathematical models including those for biological and
social phenomena, in addition to more traditional ones in natural
sciences. These models are investigated through analytical approaches
as well as numerical simulations for understanding of the
phenomena. The knowledge thus obtained is employed to develop
innovative technologies or to predict the future, while new
methodologies are devised for deeper understanding of phenomena.
Our department pays particular attention to large scale and/or highly
non-linear complex phenomena in its research and
education. Particularly in education, we aim at providing students
with both scientific viewpoints which help them understand principles
as well as engineering viewpoints which are useful in solving real
problems in manufacturing. These double viewpoints will give students
comprehensive perspectives over science and engineering in
mathematical sciences. We look forward to ambitious applicants
interested in advanced mathematical sciences.
Division of Applied Analysis
Professor
KIGAMI, Jun, D.Sc.(Kyoto Univ.),
Analysis and Dynamical System,
Analysis on Fractals
Associate Professor
SHIRAISHI, Daisuke, Ph.D. (Science, Kyoto Univ.),
Probability Theory
Senior Lecturer
KUBO, Masayoshi, D.Sc.(Kyoto Univ.),
Mathematical Analysis of Inverse and Ill-posed Problems,
Numerical Analysis
Assistant Professor
SHIMIZU, Ryosuke, Ph.D.(Informatics, Kyoto Univ.),
Analysis and Geometry on Fractals, Nonlinear Potential Theory
Division of Nonlinear Physics
Professor
AOYAGI, Toshio, Ph.D.(Kyoto Univ.), Theory of Neural Networks,
Nonlinear Dynamics, Nonequilibrium Statistical Physics
Associate Professor
TERAMAE, Jun-nosuke, Ph.D.(Kyoto Univ.), Computational Neuroscience, Nonlinear Physics
Senior Lecturer
MIYAZAKI, Syuji, D.Sc.(Kyushu Univ.), Large Deviation Theoretical Analysis,
Spatiotemporal Dynamics
Assistant Professor
HARADA, Kenji, D.Eng.(Kyoto Univ.), Statistical Physics, Computational Physics
Assistant Professor
TUTU, Hiroki, D.Sc.(Kyushu Univ.), Ordering Process and Pattern Formation
Current research activities cover the following fields:
Group of Nonlinear Dynamics and Computational Physics
(Senior Lecturer: MIYAZAKI Syuji, Assistant Professor: HARADA Kenji）
- Nonlinear dynamics and chaos
- Nonequilibrium statistical physics
- Condensed matter theory
- Computational physics: Monte Carlo, tensor network
Group of Nonequilibrium Physics and Theoretical Neuroscience
(Professor: AOYAGI Toshio, Associate Professor: TERAMAE Jun-nosuke, Assistant Professor: TUTU Hiroki)
- Theoretical neural science (mathematical modeling of the brain)
- A collection of dynamical systems linked through a network with evolving structure (neurons, social networks, etc.)
- Analysis of rhythm phenomena (entrainment transition)
- Mathematical modeling of molecular machines
- Mathematical modeling of social systems based on game dynamics on networks
Division of Applied Mathematical Sciences
Professor
FUJIWARA, Hiroshi, Ph.D.(Informatics, Kyoto Univ.),
Numerical Analysis of Inverse and Ill-Posed Problems,
Computer Arithmetic
Assistant Professor
KAWAGOE, Daisuke, Ph.D.(Informatics, Kyoto Univ.),
Differential Equations
Computer simulations provide powerful means of solving various problems
in science and engineering. Computational mechanics is one of such approaches
which, along with theoretical and experimental mechanics, investigates mechanical
phenomena efficiently. This division develops various numerical methods for
partial differential equations and integral equations. We are also interested in
their theoretical reliability, large scale computations, and numerical software.
Professor
TAGUCHI, Satoshi, D.Eng.(Kyoto Univ.),
Fluid Dynamics, Non-equilibrium Gas Dynamics, Kinetic Theory
Associate Professor
TSUJI, Tetsuro, D.Eng.(Kyoto Univ.),
Micro and Nano Flows, Kinetic Theory of Gases, Non-equilibrium Phenomena
Our main research interest is to clarify the behavior of non-equilibrium gas flows and to establish theories to describe them. Through theoretical and/or computational investigations applied to kinetic equations, describing the statistical behavior of many particles, we elaborate new continuum theories applicable to non-equilibrium flows. We also derive and construct related mathematical models for non-equilibrium flows and clarify the relations between various fluid models.
Division of Statistical Signal Processing
Professor
HAYASHI, Kazunori
