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Modern mathematics, while already highly abstract, is becoming more abstract as it seeks new questions from the world around us. We are responding to this trend through the fields of Mathematical Analysis Group and Mathematical Science and Informatics Group. In Mathematical Analysis Group, you'll perform detailed study and research from a purely mathematical perspective, while in Mathematics Science and Informatics Group you'll study and research information science to meet modern needs from a mathematical viewpoint. Come and learn with us in the Mathematics Department!


Undergraduate Seminar

Our revisions of four year curriculum became effective in 2006.
Our new curriculum has an even greater focus on mathematical study, while providing fulfilling information science-related courses and English education in mathematics and the natural sciences in English.
In your 1st and 2nd years, you will get a thorough grounding in the two pillars of university mathematics "Analysis" and "Linear Algebra" through biweekly lessons. Coursework and practice work are flexibly assigned based on your progress and level of understanding. "Introduction to Mathematics", open to 1st year students, is designed to serve as a bridge between high school and university mathematics. Students will learn the knowledge and skills necessary to study mathematics, such as IT literacy, library use, and special expressions and symbols used in university-level mathematics, as well as set, mapping, and elementary logic.
We also offer many information science-related courses. You will have a liberal arts course in your first year on "Computer Literacy", where you will learn IT literacy, useful both in society and in university life. "Introduction to Statistics" is a teacher training course, where you will learn the knowledge needed to statistically understand phenomena, and receive an introduction to statistics using computers. From your 2nd year, you will study theoretical and practical courses in information science.
We have developed specialized coursework for your 4th year.
There are also liberal arts courses in English. Students in their 3rd year study "English for Mathematicians" to become familiar with various natural science topics in English, as well as "Mathematics in English", a training course in reading English mathematical literature.
"Undergraduate Seminar" in your 4th year is a comprehensive consummation of the program. You will read mathematical treatises in English, logically communicate what you have learned to others, debate its technical and mathematical problems, and learn shared skills.

Laboratory Research Groups

Mathematical Analysis Group

A view of a class using a blackboard

Mathematics library

We conduct teaching and research into pure mathematics in geometry, algebra, and analysis. Our goal is to give students a small taste of the world of pure mathematics, and to let them experience the beauty of abstract mathematics, and learn how to create sound theories.
Research topics include:
(1) Geometry, to explore the nature of spatial figures, and manifolds that generalize the concepts of curved lines and surfaces. (Are computers useful in sharpening our mathematical way of viewing abstract geometrical structures?)
(2) Complex function theory, to explore the nature of complex functions (functions that assign to each complex number another one). (Chaos, and fractals, with their extravagant shapes, also fall under this theory.)
(3) Number theory, to extend the concept of numbers and explore the nature of numbers in different ways. (Number theory used in coding and authentication to verify information and transactions on the Web.)
(4) Algebra, to explore the nature of "groups", "rings", and "fields" for abstractly handling addition, multiplication, and other calculations. (There is a subtle beauty to the theories behind this ancient field.)

Mathematical Science and Informatics Group

A class using computers

Research presentation

The teachers here work on developing mathematical analyses and methods for mathematical phenomena. Our goal is to use computers to master analyzing mathematical phenomena using mathematical methods.
Research topics include:
(1) Differential equation theory, to research the nature of differential equation analysis. ("Differential equation" is a mathematical term describing various phenomena.)
(2) Modeling of mathematical phenomena, and mathematical and numerical analysis of their model equations. (More complex phenomena, for which model equations have only been solved numerically, are also dealt with.)
(3) Probability theory, to analyze phenomena governed by chance. (Probability theory has been contributing greatly to the advancement of financial theories.)
(4) Coding theory using algebraic methods.
(Necessary as well for developing internet communication.)
(5) Fusing mathematics and system engineering. Open new possibilities of mathematics?)


"What is matter made of?"
"What is light?"
"What kinds of laws is the universe governed by?"
Physics started with simple questions that everyone wonders about nature.
Through logical theoretical considerations and skillful experiments, we continue to search for the answers. Join the Physics Department and probe the mysteries of nature with us. You may be the one to open a new door on science in the 21st Century!


Pendulum experiment to measure gravitational acceleration

Electronic circuits lab

You'll learn all the fundamentals of physics through courses in mechanics, electromagnetism, quantum mechanics, thermodynamics and statistical physics, and more. While high schools offer basic classes in mechanics and electromagnetism, at the University you'll use differentials, integrals, and other mathematics to study them more systematically and in depth. Quantum mechanics is necessary to consider physics in the microscopic world, such as atoms, molecules, and particles. This is a class you'll first find at a university. In thermodynamics and statistical physics, you'll learn about how the actions of atoms and other particles in the microscopic world govern the nature of matter in the macroscopic world we live in. Through these basic studies you'll understand the more advanced subjects and learn in specialized classes, including theory of elementary particles, nuclear physics, solid state physics, electromagnetic and optical physics, and so on.
We have created a unique curriculum to allow students to quickly adjust to college life and advance in your studies. For example, in your first semester you'll take Invitation to University Physics, a small classroom environment where we will guide you in learning how to adjust to university life and how to study. From your 1st to 3rd year there will be annual student experiments that match your progress, and education will focus on experimentation. In your 4th year, you will be assigned to a lab to conduct your thesis research. We will teach you to master the skills needed to explore a problem on your own and solve it.
And along with this physics education, the University of Toyama will be supporting your liberal arts education through liberal arts courses so that you may grow to be a highly culturally-endowed member of society.

Laboratory Research Groups

Solid State Physics Group
[Solid State Physics Research Group]

Preparing rare Earth compounds in an arc furnace

The work of our group is centered on physics of intermetallic compounds of rare-earth and actinide elements. We use a variety of sample growth techniques to prepare high-quality single crystals, and are able to measure electrical resistivity, magnetization, specific heat, thermal expansion and thermoelectric power at low temperatures, in high magnetic fields, and high pressures. Our current research focuses on (1) remarkable magnetically ordered state, (2) anomalous behavior in the vicinity of a quantum critical point, (3) exotic superconductivity, and (4) multipolar ordering in strongly correlated f-electron systems. Our ultimate goal is to discover new materials with novel physical properties, and to contribute the welfare of humanity by its practical application.

[Crystal Physics Research Group]

A graduate student teaching how to use vacuum deposition equipment

The matter all around us is made of atoms. The difference in their arrangement and interatomic bonds gives matter its fascinating and various properties. We analyze atomic level structures and measure the various properties of condensed matter, and investigate the relationship between matter's microscopic structure and its properties. We use X-rays and synchrotron radiations in our structural analysis, and measure electrical and optical properties under various conditions. Come explore the world of nano-space with us!

Quantum Physics Group
[Theoretical Physics Research Group]

Physics seminar

In what form does ultimate matter exist, and how does it react? What theories are needed to describe the world of elementary particles? How did the universe come about, and how will it expand?
These are the kinds of questions we tackle head on. We conduct theoretical research to search for the deepest mysteries of nature using the full power of our brains and computers. We use observations based on keen physical intuition to work with advanced mathematics and calculations on computers.

[Microwave and Laser Research Group]

Spectral measuring experiment using microwaves

We use electromagnetic waves, from microwave to laser light, to research the physical phenomena of the microscopic world, including molecules in a gaseous state and atomic and molecular ions trapped in enclosed spaces. In particular we are closely investigating molecular structures and interactions between atoms and molecules, and how atoms and molecules absorb and emit light.
This knowledge of atoms, molecules and light will not only deepen our knowledge of matter, but will be useful in our search for what kinds of molecules exist in what state in the universe tens of thousands of light years away.


We are challenging the frontiers of chemistry through material dynamics chemistry and synthetic organic chemistry.
We fully utilize methods employing physical chemistry, structural chemistry, inorganic chemistry, organic chemistry, and natural products chemistry to unlock the secrets of matter at the atomic and molecular levels. Based on our results, we push the boundaries of chemistry while looking toward the future, whether through designing and developing new materials or functional matter or switching energy sources.


A beautiful view of the Tateyama mountains from the student lounge

An enriching student experiment

The Chemistry Department is composed of two major groups: the Reaction and Molecular Field Chemistry Group and the Synthetic Organic Chemistry Group. We aim to educate skilled professionals with advanced knowledge and skills in chemistry, who will then use their inquisitive mind and originality to meet the challenges of an advanced industrial society.
Chemistry classes:
1st year: Principles of Physical Chemistry, Basic Organic Chemistry, Chemical Thermodynamics I, Quantum Chemistry I, Organic Chemistry I
2nd year: Chemical Thermodynamics II, Quantum Chemistry II, Organic Chemistry II, Organic Chemistry III, Aromatic Compounds Chemistry, Aquatic Chemistry, Chemical Kinetics, Inorganic Chemistry I, Computer Programming, Structural Organic Chemistry, Organic Reaction Chemistry, Chemical Measurement for the Environment
3rd year: Inorganic Chemistry II, Heterogeneous Catalysis, Advanced Molecular Structure, Electrochemistry, Physical Chemistry Laboratory, Analytical and Inorganic Chemistry,Chemistry of Natural Products, Polymer Chemistry, English for Science, Chemical Equilibrium, Molecular Spectroscopy, Solution Chemistry, Material Science, Synthetic Organic Chemistry, Organic Chemistry Laboratory, Biochemistry
4th year: Graduation Thesis

Laboratory Research Groups

Reaction and Molecular Field Chemistry Group
[Lab 1 (Physical Chemistry)]

Determining the quantity of adsorbents on the surfaces of catalysts

Lab 1 studies catalysts, important substances in the manufactures for many industrial chemicals.
Catalysts are also widely used in eliminating pollutants such as NOx or mal-odors in the environment. Although commonly practiced, the underlying mechanisms for these activities could be complicated and varied.
Our major interests have been to conduct basic researches, theoretically and experimentally, to acquire more understandings about these catalytic interactions.

[Lab 2 (Photochemistry)]

Measuring photoluminescence lifetimes at low temperatures

Lab 2 researches the photophysical properties and photochemical reactions of luminescent transition metal complexes promising for applications in organic light emitting diodes and solar cells. Basic research into the photophysics and photochemistry of these complexes will lead to the development of new photofunctional compounds.

[Lab 3 (Inorganic/Analytical Chemistry)]

Synthesizing a complex compound

Lab 3 has two research themes. First, as the indispensible role that trace metals play in the lives of organisms becomes clear, we hope to shed light on the functions and structures of these metals within organisms through coordination chemistry methods. We also research the use of solution chemistry and laser photochemistry in understanding the structure and reactivity of molecular aggregates in solutions in a strong on-equilibrium state, and to investigate their medical, pharmaceutical, and optical applications.

[Lab 4 (coordination chemistry)]

Synthesis of luminescent metal complexes

Coordination compounds, being composed of metal ions and organic/inorganic ligands, have huge diversity and potential. In this laboratory, coordination compounds with novel structures and properties are being prepared. Now, our interest is directed to two regions; 1. emissive coordination complexes, and 2. multinuclear complexes showing responses to external stimuli.

Synthetic Organic Chemistry Group
[Lab 1 (Organic Chemistry)]

Synthesizing functional compounds

Lab 1 creates many compounds with new, hitherto unknown qualities, and then investigates the intricacies of their structures. Some of the compounds they've created are fragrant compounds, and beautiful emerald crystals. There is an intimate relationship between the nature of these kinds of compounds and their molecular structure. Right now, we are developing compounds highly responsive to heat, light, and magnetic fields.

[Lab 2 (Natural Products Chemistry)]

Synthesizing natural products

There are many bioactive organic compounds in nature, and many of these are complex structures with a great deal of asymmetrical carbon. Lab 2 is developing useful reactions to synthesize these kinds of complex structure organic compounds, and apply these compounds in synthesis of bioactively natural products.

[Lab 3 (Biofunctional Chemistry)]

3D structures of RNAs with catalytic and receptor functions

RNAs play versatile roles in biological systems because they not only serve as a genetic material but also act as functional molecules. Group 3 studies the molecular basis of naturally occurring RNAs with catalytic and receptor functions. Another interest of our group lies in the artificial generation of RNAs with desirable functions through rational and evolutional approaches.


The Biology Department consists of two groups: the Structural Biology Group and the Regulatory Biology Group. Our guiding principle is furthering education and research into uncovering the functional connections in signal transduction, an indispensible facet of maintaining the complex structure and system of organisms.
Our aim is to educate students who understand the universality and diversity of life phenomena and its evolutionary meaning, and understand the dignity of all forms of life.


The goal of the Biology Department is to train students to be skilled in recognizing on a deep level the universality and diversity of life in the living phenomena they study, and to conduct education and research toward that end.
Every day, we conduct research on life itself and its environments. A basic knowledge of biology, as well as mathematics, physics, chemistry, Earth sciences, environmental sciences, and other natural sciences is necessary to understand these various life phenomena. Students also need a broad education in other life-related sciences.
In your 1st year you will study humanities, social sciences, and natural sciences to cultivate your fundamental knowledge. In your 2nd and 3rd years, you will acquire specialized knowledge and skills in biology through specialized courses and experimentation. Following this, in your 4th year you will work on your graduation thesis under the guidance of unique professors specializing in fields ranging from the molecular to the ecological.
Members of the Structural Biology Group will research such diverse topics as the systematics and evolutionary ecology of insects, spermatophytes, and green algae; the reproduction/genesis and evolution/speciation of aquatic animals; cellular division and differentiation in plants and photomorphogenesis; and organic differentiation in higher plants for your graduation thesis research. The Regulatory Biology Group will research the genetic structure, function, and regulation of gene expression of higher plants, neuropeptides related to animal behavior, and nerve mechanisms inherent to internal clocks and sleep generation. Through this research you will learn more specialized knowledge and skills, culminating your university education as a student of the Faculty of Science Biology.

Laboratory Research Groups

Structural Biology Group

Field Study in Zoology

Laboratory in Structural Biology

Graduation Thesis Presentation

Biology is not constant; it changes with time. Part of that change is morphogenesis, which we can see within individuals, and a longer process called phylogeny.
However, biology is not just about describing processes. A major theme of biology is the search for why evolution happens, and by what mechanisms. We comprehensively research these facets and strive to understand the diversity of all living things. The professors here are experts in algae, plant, and animal morphology; embryology; taxonomy; and phylogenetic systematics. Thus, the study on the phylogenetic systematic is one of the most distinctive researches in this group. But our research is not limited to just these: you will find professors who deal with plant chromosomes, and who research intracellular signal transduction in plants, the various shapes and structures of insects, systems in marine life, and the phylogenetic relationships and evolution of animals using genetic information. As we enter the 21st century amid concerns of massive animal extinctions caused by human activities, it is becoming necessary to have a proper understanding of animal diversity. Students and staff in the Structural Biology Group work intently around the clock to study all the diversity of life.

Regulatory Biology Group

Laboratory in Regulatory Biology

Field Studies in Marine Biology

Introductory Seminar on Biology

We humans, as well as many plants and animals, come from one fertilized egg, and grow into multicellular organisms with a defined shape or form. The cells that make up an individual plant or animal differentiate in various types and play specific roles. We research from various angles how these diverse cells cooperate and come together to create an individual organism. Each of our four botany professors, at the cellular and genetic level, works to illuminate the mechanism of plant growth, the regulatory mechanism of gene expression related to photosynthesis and fatty acid synthesis, and the genes related to the differentiation of leaves, roots and other organs. The five zoology professors use methods from morphology, physiology, and molecular biology to research various control mechanisms related to environmental conditions such as light, the internal clock and sleep control mechanisms, various regulatory mechanisms related to water and electrolyte metabolism and the role of neuropeptides with the clue about hormonal behavior. Here in the 21st Century, the age of life sciences, we need to understand more about various biological phenomena. We are all actively performing educational and research activities together with our students.

Earth Sciences

The Department of Earth Sciences is made up of three groups: the Geosphere Physics Group, the Geodynamics Group, and the Geological Science Group, all of which teach about and research the Earth across time and space - from when the Earth was first born until now, from the Earth's deep interior to the atmosphere and magnetosphere.
We use a diverse array of methods in our research to open new frontiers in Earth sciences.


Geological excursion I
(Tateyama, 1st year)

Maritime exercises (3rd year)

Earth Science searches for the "mechanisms of sea, Geosphere Physics Group sky, and earth". If we are to maintain our diverse ecosystem in the face of worsening global environmental, resource, and energy problems, we can no longer leave the inner workings of our planet "shrouded in mystery".
We have prepared a variety of education programs to teach you about the "Earth's inner workings". We hope, through the programs, you will become an energetic, skilled person with the knowledge of Earth sciences, who can tackle unsolved problems adopting a global perspective.
In your 1st year you'll study the framework for geology and geophysics, as well as the foundation for thinking about Earth science. In your 2nd and 3rd years you'll take specialized courses in mineralogy, petrology, volcanology, paleontology, structural geology, seismology, geoelectromagnetism, submarine geophysics, glaciology, and meteorology. Our goal is to provide you with a multifaceted understanding of the structure, evolution, and activity of the Earth's system. There will be field trips and labs alongside the lectures to boost your understanding and make science come alive. We have prepared many geological excursions, maritime studies, field studies on snowy mountains, and geophysical laboratories. In your 4th year, you'll prepare your graduation thesis and perform graduation research under the individual guidance of a professor.
Some 40% of graduating students go on to graduate school. Major careers in the field include corporations dealing with information services, geological / environmental / meteorological consultancies, and governmental organizations (government workers).

Laboratory Research Groups

Geosphere Physics Group

The results of a computer simulation of "Yorimawari Waves", unique to Toyama Bay.

Examining snow cover on Tateyama's Murodo Plateau.
Each layer of snow cover has preserved diverse information.

We mainly researches three subjects. One is "geomagnetism". Geomagnetism, which is generated by the Earth's core, is constantly changing direction and strength. We use remanent magnetism ("petrified geomagnetism") recorded in rocks and sediment, as well as observations, to research these geomagnetic fluctuations. We are also researching plate movement, environmental changes, and their archaeological applications.
The second subject is "glaciology". We research diverse areas, from basic research into the physical properties and growth of snow and ice crystals, to researching atmospheric and environmental changes from information in accumulated snow.
One particular feature is our research into the snow cover and snowy ravines of the northern Japanese Alps by making use of the regional characteristics of Toyama.
The third area involves oceanic phenomena.
We are analyzing ocean observational data and simulating numerically to clarify the structure and variability of the seas around Japan, such as Toyama Bay and Japan Sea to contribute global environmental and disastrous problems.

Geodynamics Group

Excavation activities at the Atotsugawa Fault. The team is examining past earthquakes generated by the fault.

Aerosol and cloud optical properties were investigated using the measurements from sky radiometer at Mt. Tateyama / Jodo observatory.

From deep within the Earth to the skies above us, we focus on the entire planet in researching on-going dynamic and changing phenomena.
For understanding of earthquakes and plate motions, we are conducting surveys of active faults, GPS observations of crustal movements, and experimental studies on physical properties of rocks.
We also conduct marine observations, such as coastal gravitational measurements using planes and ships, and seabed terrain surveys using submarines.
Using global meteorological observation networks and climate models, we explore the mechanisms behind changes in monsoon circulations and extraordinary weather phenomena. We are also working to unlock the global warming problem using cloud and aerosol observations.

Geological Science Group

Geological survey into the summit crater of Nantai Volcano revealed the recent eruption history of the volcano.

A scene from a geological survey in Mongolia. We venture around the world to find the key to unlocking the Earth's past.

We research the evolution of the interior and surface environments of the Earth (Earth history) using clues in the rocks, minerals, strata and fossils on the Earth's surface. We can observe on the Earth's surface fragments of mantle and a 4-billion-year-old continent, and some rocks even carry information of the Earth's core. From strata and fossils, on the other hand, we can reconstruct plate movements and environmental and biospherical changes of the past.
Further, past volcanic ejecta hold the key to predicting future eruption.
We aim to cultivate the ability of the students to get many data and ideas from the outdoors, attaching great importance to fieldwork. The ability of fieldwork cannot be cultivated in physics, chemistry, or other disciplinary fields, and we hope it will greatly help you in your future career.

Environmental Biology and Chemistry

Everlasting matter in the biosphere flows and circulates, while humans and other diverse living things live in nominal harmony with the environment.
We want to educate students to become skilled personnel who can understand the inestimable importance of the global environment through the eyes of science, and send them out into the world.
Our education and research goals straddle new and diverse fields. We are looking forward to welcoming highly motivated, curious students who are self-motivated to learn.


The Environmental Biology and Chemistry Department was the first environmental sciences department in Japan to be established in a Faculty of Science. Our philosophy is to teach environmental science through a variety of classes forming the foundational knowledge of chemistry: biology, earth science, and analytical chemistry. Many high schools have begun to change their curricula and class content, with more and more students entering universities with insufficient knowledge of chemistry and biology. Thus, we offer a detailed class plan featuring not just basic classes common to the Faculty of Science, but specialized classes that teach foundational biology, chemistry, and earth sciences. Each professor also maintains office hours to answer student questions and provide consultation as needed.
Class List:
1st year: Introduction to Environmental Science, Environmental Basic Biology A, Environmental Basic Chemistry, Physical Geology, Fundamentals of Environmental Science
2nd year: Environmental Basic Biology B, Ecology, Bioenergetics, Plant Ecology, Laboratory Works for Basic Environmental Science, Environmental Chemistry, Aquatic Chemistry, Basic Organic Chemistry, Chemical Measurement for the Environment, Basic Organic Chemistry, Field Trip
3rd year: Physical Chemistry for the Life Sciences, Environmental Plant Physiology, Environmental Microbiology, General and Comparative Physiology, Biological Chemistry, Environmental Biology, Conservation Biology, Laboratory Works for Basic Environmental Science, Marine Chemistry, Environmental Geochemistry, Chemistry for Prevention of Environmental Pollution, Environmental Isotope Geochemistry, Environmental Geochemistry, English for Science
4th year: Graduation Thesis, Scientific Communication

Laboratory Research Groups

Environmental and Analytical Chemistry Group

Collecting Water from Toyama Bay

River Flow Measurement

Determination of Anionic Surfactants

As human activity continues to expand and diversify, the chemical substances from such activities have caused various environmental problems such as global warning, water and air pollutions which require urgent attention.
The Environmental and Analytical Chemistry Group takes a chemical approach in order to clarify and solve environmental problems.
For example, we are developing simple and rapid analytical methods to measure harmful components relating to environmental pollution in biosphere and using these methods to survey the environmental water collected from rivers, lakes, sea (Toyama Bay) and also ground water, as well as bottom sediment, soil and air. The dynamics of these components are studied and based on this findings we perform basic research into removal and degradation of high toxic components in waste water. Further, we are researching ways to illuminate the origins of and changes in substances deeply connected to the global environment, the distribution and cycling of these substances in the Earth's surface, and the mechanisms behind the two. Our indices are rainwater, river water, groundwater, seawater, gasses, and other components / trace components and isotopes.

Environmental Biology Group

Dissection of Wild Animal (Raccoon Dog)

Plant Survey on Satoyama

Field Trip on Tateyama Mountains

It is believed that the first life appeared over a geologically brief period some 3.5 billion years ago. Since then, organisms have had an enormous effect on the formation of the Earth's environment, but more to the point the organisms themselves have adapted to their environment and evolved an exquisite system for living.
The Environmental Biology Group is conducting a broad range of research on the mechanisms underlying biofunctions, from the cellular level to the ecosystem level, to deepen our understanding of interactions between organisms and the environment. Here are just a few examples of our research:
1. Elucidation of tolerance mechanisms to environmental stress in higher plants
2. The reaction and behavior mechanisms of protists to environmental stimulation, and ways to evaluate and reclaim polluted water in the environment using microorganisms
3. The relationship between plants and insect pollinators
4. The effects of global environmental changes on alpine vegetation of Mt. Tateyama Mountains
We are also making strides in our research on conserving wild organisms, such as for mammals and parasites.