The overall purpose of my study is to examine the syntheses, structures, and electronic structures of unique complexes containing commodity organic molecules. The concrete target is finding novel complexes out of the combination of commodity organic molecules and commodity metal ions in the periodic table, preparing the crystals (powder or single crystal), determing the X-ray structures, calculating the electronic structures by first principle, and measuring the physical properties (spectroscopic property etc.).

The purpose of my study is to clarify metamorhic P-T conditons, supply system of terrigenous clastics, tectonic erosion process and so on from rocks related to ancient subduction and collsion zones, based on field geology, petrology and geochronology. I have worked on the researches with external reserchers.

(1) Probing new physics model via top quark interactions
If we understand behaviors of elementary particles based on the physics models which describes dynamics of elementary particles, we could understand the structure of space nd time (i.e. Universe). I think that top quark plays important roles to probe new physics models describing unknown nature of the elementary particle physics. Therefore, I study top quark interactions.

(2) Development of teaching materials for programming educations
It is not easy for beginners to make programs without learning the grammar of programming language. Thus, we proposed teaching materials for programming educations focusing on studies of algorithms without learning the grammar of programming language. The materials are constructed a visual programming environment Scratch, actual robots and a conversion software which translates from programs made by Scratch to the control code for actual robots. Now, we are evaluating the teaching materials based on statistical analysis of the results of questionnaire gotten from the classes in which the materials are used.

Our laboratory has developed molecular and crystal structure models made from inexpensive and readily available materials, including cardboard, electronic components, and LEGO blocks.

In statistical inference, testing for normality is one of the most fundamental problems traditionally. The below left figure is the probability density function of the normal distribution. We have obtained a grahical method of testing for multivariate normality based on the pricipal component score and an approximate joint distribution of sample skewness and kurtosis. We illustrate our method for Fisher’s iris data in the below right figure.

I am developing the teaching materials for the science education. The university students who do not understand contents of the science studied at elementary and junior high school exist in a considerable ratio. Therefore I survey the actual situation of the science literacy of students, analyze the weak point and develop the teaching materials based on this analysis. In addition, I have carried out many scientific events and lectures for children and citizens in local community with students. I am studying the teaching materials and human resource development for such a science communication activities.

A subject of my research in the cryptographic theory is development of new cryptographic system which prevents attacks of quantum computer which has potential to grow up into big threat. Its security analysis in theoretical and experimental manner is also important, therefore, for multivariate public-key cryptography in particular, I hold a cryptography solving contest, MQ challenge, as one of organizers, and the contest is released to public on a website as follows.

I also study not only simple cryptography with normal function, and also cryptography with high-function like keeping addition in the encrypted world.
A subject of my research in the number theory is the automorphic representation which is related to unsolved problems, Langland conjecture and Arthur conjecture.

Various studies of solid state physics are researched using cryogenic technology, liquid-helium and liquid-nitrogen.
For example, very strong electromagnet is constructed by myself using superconductive technology. This equipment will be used for a microorganism study.

-Patent-
JAPANESE PATENT
Pub. No.4975154
EUROPEAN PATENT
SPECI- FICATION, Inter.
Pub. Number:WO 2012/039429
[Water-Mixed fuel and method for producing same]

◆Research◆
The purpose of our study is the elucidation of the function of biomolecules by the computer simulation. We have carried out large-scale biomolecular quantum chemical computations, fragment molecular orbital (FMO) calculation and first-principles calculation, using the supercomputer FUGAKU. Our present works are (1) to explore the relationship between drug effects and side effects by analyzing the interaction of drugs and proteins, (2) to elucidate the function of proteins by analyzing of electrionic states of proteins and to develop new materials, (3) to elucidate the enantioselectivity and reactivity of the enzyme in organic synthesis by the biomolecular computational simulations of the complexes of lipases with organic compounds.
◆Social activity◆
・Group sub-leader of Enzyme WG of FMO Drug Design Consortium

I am working on the development of statistical methods, especially methods for regression problems. We are also creating the program (package). A regression problem is to estimate the relationship (regression function) between explanatory variables and the expected value of a response variable. I am interested in techniques for selecting some explanatory variables that are influencing the response variable. I am studying how to select variables when assuming a parametric model and a non-parametric model for the regression function. Regression analysis is used to estimate causal effects, for example in the analysis of covariance. I am also conducting research on the application of the developed methods to causal inference.

Archaeobotany is the study of plant remains (seeds, fruits, etc.) from archaeological sites to understand the human-plant interactions in the past. I am particularly interested in the beginning of farming. Agriculture started in the Japanese archipelago in the Yayoi period, but there is a possibility that soybean and azuki were domesticated independently in the Japanese archipelago during the Jomon period. I am also studying the rize and fall of Maya Civilization in Central America in relation to the development of maize farming and environmental changes.

Composing functions is a fundamental operation that appears in various contexts. When this operation is treated as a bounded linear operator on a function space, it is called a composition operator, which has been the subject of extensive research.
My primary research focus is on operator algebras generated by these composition operators. In addition to studying the structure of these algebras, I am interested in using operator algebraic techniques to further investigate the properties of the composition operators themselves.
Beyond these core theoretical topics, I have been active in applying mathematics to various fields. My past work includes:
Shape interpolation related to computer graphics (CG), Screw dislocations in crystal structures, Caging in robotics.
In recent years, there has been a growing trend of research utilizing sophisticated mathematical frameworks. I am eager to continue contributing my expertise to such interdisciplinary challenges.

We are concerned with biomimetic microstructure formed by self-spreading behavior of phospholipid molecular assembly in nanotechnology fields. Especially, a pollen like structure formed by egg-yolk phosphatidylcholine myelin figures has been studied by use of an optical microscopy. Budding of giant liposomes (GUV ~ 50µm) from the tip of spore like structure were observed. The size of GUV and the forming behavior were discussed using a geometric packing shape and a phase separation phenomenon of phospholipid molecules.

The Cohen-Macaulay modules have been studied as important objects linking algebraic geometry and the module theory of algebras.
The Cohen-Macaulay modules are also a natural higher generalization of finitely generated modules over finite dimensional algebras.
I am interested in the module theory aspect of the Cohen-Macaulay module.
I am currently studying the representation type of the Cohen-Macaulay modules from its geometric structure via the functor category.

My research interests are in the origin and evolution of life on Earth in the 4.6 billion-years geological records; particularly the evolution of eukaryotes and multicellular animals. I am trying to clarify the environmental changes across these evolutions, based on the geological fieldworks in UK, China, Gabon, Mongolia, etc., the stratigraphic reconstructions (lithogy, fossils, age determination), and the paleoenvironmental reconstructions (chemical analyes). I am also developing teaching materials for geoscience education using VR technology.

I am interested in a quantum spin system where nontrivial magnetic ground states appear. To investigate those experimentally, vaious methods are utilized from static and dyanmic points of view.
By reducing the system saize some materials is weakening , and another is strengthening in magnetic properties. To learn more about the origins of those, I am conducting magnetic measurements with high sensitivity.
Experimetnal studies on hydrogen-induced phenomena are also one of my essential research activities. Also, I am carrying out the development of a new method to evaluate hydrogen absorption properties aiming at high-performance hydrogen strage.