Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SD11010013

Offering Academic
Year/Semester

2020Year First Semester,

Teaching Method

Seminar

2020Year Second Semester

Seminar in Mathematical Structures
SAMSM1701
2Credits
Hiroshi Tamaru
Latest research developments and results in the theory of mathematical structures.

Main Theme of the
Subject
To learn the latest research developments and results in some areas of mathematical structures.

Goal of the Subject

This course is given in the seminar format conducted by the faculty members.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SD11020013

Offering Academic
Year/Semester

2020Year First Semester,

Teaching Method

Seminar

2020Year Second Semester

Seminar in Mathematical Analysis
SAMSM1702
2Credits
Hiroshi Tamaru
Latest research developments and results in mathematical analysis.

Main Theme of the
Subject
To learn the latest research developments and results in some areas of mathematical analysis.

Goal of the Subject

This course is given in the seminar format conducted by the faculty members.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SD12010013

Offering Academic
Year/Semester

2020Year First Semester,

Teaching Method

Special Seminar

2020Year Second Semester

Seminar in Fundamental Physics
SAPS11701
2Credits
Ken-ichi Nakao
In this seminar, the recent developments in fundamental physics are broadly studied.

Main Theme of the
Subject
In this lecture, every student is encouraged to set up voluntary research theme and plan.Proper academic advice
leading to Doctoral thesis will be given.

Goal of the Subject

In this seminar, the recent developments in fundamental physics are broadly studied.

Contents of the
Subject/Subject Plan

Preparation andReview

It will be announced in the class.

Evaluation is based on attendance, report and discussion in a class.

Evaluation Method
It will be announced in the class.

Comments to Students
It will be announced in the class.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SD12020013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Seminar in Astroparticle and High Energy Physics
SAPS21701
2Credits

Teaching Method

Special Seminar

Ken-ichi Nakao
Learn a wide range of recent research results and development in the field of astrophysics and high energy physics
from classes given by multiple faculty members.

Discuss research program leading to the writing of Doctoral thesis. Special emphasis will be placed on encouraging
students to be independent in making research plans, and to think throughly on significance of the topic.

Goal of the Subject

Learn a wide range of recent research results and development in the field of astrophysics and high energy physics
from classes given by multiple faculty members.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance, reports, and the discussions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SD12030013

Offering Academic
Year/Semester

2020Year First Semester,

Teaching Method

Special Seminar

2020Year Second Semester

Seminar in Condensed Matter Physics
SAPS31701
2Credits
Ken-ichi Nakao
Learn a wide range of recent research results and development in the field of condensed matter physics from classes
given by multiple faculty members.

Discuss research program leading to the writing of Doctoral thesis. Special emphasis will be placed on encouraging
students to be independent in making research plans, and to think throughly on significance of the topic.

Goal of the Subject

Learn a wide range of recent research results and development in the field of condensed matter physics from classes
given by multiple faculty members.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance, reports, and the discussions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SD13010013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Doctoral Thesis of Science (D1 Mathematics)

Subject Number
Credits
Main Lecturer

3Credits

Teaching Method

Seminar／Laboratory

Hiroshi Tamaru
Fundamental theory of each specialty.

Main Theme of the
Subject
To understand systematically fundamentals of the theory which is necessary to solve the research problem for the
doctoral thesis.

Goal of the Subject

This is intended to gain a systematic understanding of fundamentals of the theory to solve the research problem for the
doctoral thesis. For that purpose, each student is assigned reading materials and is expected to formulate and to solve
the research problem for the doctoral thesis under the guidance of the thesis adviser. Also a guidance is given on how
to give presentations at research conferences and on how to write a research paper and submit it to an academic
journal.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is assigned based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SD13010023

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Doctoral Thesis of Science (D1 Physics)

Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

3Credits

Teaching Method

Seminar／Laboratory

Ken-ichi Nakao
Acquiring the systematic knowledge and skills on the theories and experiments leading to the writing of the Doctoral
thesis.

We aim to acquire the systematic knowledge and skills on the theories and experiments leading to the writing ofDoctoral thesis.

Goal of the Subject

We aim to acquire the systematic knowledge and skills on the theories and experiments leading to the writing ofDoctoral thesis. For this purpose, discuss research program leading to the writing of Doctoral thesis. Special emphasis
will be placed on encouraging students to make research plans, to read textbooks and journal articles, and to acquire
the experimental skills.
It also provides guidance on the presentation of research results at academic conferences and the preparation andsubmission of manuscripts to academic journals.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Evaluation will be made totally on a basis of attendance, reports and discussions at the seminar.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SD13020013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Doctoral Thesis of Science (D2 Mathematics)

Subject Number
Credits
Main Lecturer

3Credits

Teaching Method

Seminar／Laboratory

Hiroshi Tamaru
Fundamental theory of each specialty.

Main Theme of the
Subject
To understand systematically fundamentals of the theory which is necessary to solve the research problem for the
doctoral thesis.

Goal of the Subject

This is intended to gain the systematic understanding of the fundamentals of the theory to solve the research problem
for the doctoral thesis. For that purpose, each student is assigned reading materials and is expected to formulate and tosolve the research problem for the doctoral thesis under the guidance of the thesis adviser. Also a guidance is given on
how to give presentations at research conferences and on how to write a research paper and submit it to an academic
journal.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is assigned based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SD13020023

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Doctoral Thesis of Science (D2 Physics)

Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

3Credits

Teaching Method

Seminar／Laboratory

Ken-ichi Nakao
Acquiring the systematic knowledge and skills on the theories and experiments leading to the writing of the Doctoral
thesis.

We aim to acquire the systematic knowledge and skills on the theories and experiments leading to the writing ofDoctoral thesis.

Goal of the Subject

We aim to acquire the systematic knowledge and skills on the theories and experiments leading to the writing ofDoctoral thesis. For this purpose, discuss research program leading to the writing of Doctoral thesis. Special emphasis
will be placed on encouraging students to make research plans, to read textbooks and journal articles, and to acquire
the experimental skills.
It also provides guidance on the presentation of research results at academic conferences and the preparation andsubmission of manuscripts to academic journals.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Evaluation will be made totally on a basis of attendance, reports and discussions at the seminar.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SD13030013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Doctoral Thesis of Science (D3 Mathematics)

Subject Number
Credits
Main Lecturer

2Credits

Teaching Method

Seminar／Laboratory

Hiroshi Tamaru
Fundamental theory of each specialty.

Main Theme of the
Subject
To understand systematically the fundamentals of the theory which are necessary to solve the research problem forthe doctoral thesis.

Goal of the Subject

This is intended to gain a systematic understanding of the fundamentals of theory to solve the research problem for the
doctoral thesis. For that purpose, each student is assigned reading materials and is expected to formulate and to solve
the research problem for the doctoral thesis under the guidance of the thesis adviser. Also a guidance is given on how
to give presentations at research conferences and on how to write a research paper and submit it to an academic
journal.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is assigned based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SD13030023

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Doctoral Thesis of Science (D3 Physics)

Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

2Credits

Teaching Method

Seminar／Laboratory

Ken-ichi Nakao
Acquiring the systematic knowledge and skills on the theories and experiments leading to the writing of the Doctoral
thesis.

We aim to acquire the systematic knowledge and skills on the theories and experiments leading to the writing ofDoctoral thesis.

Goal of the Subject

We aim to acquire the systematic knowledge and skills on the theories and experiments leading to the writing ofDoctoral thesis. For this purpose, discuss research program leading to the writing of Doctoral thesis. Special emphasis
will be placed on encouraging students to make research plans, to read textbooks and journal articles, and to acquire
the experimental skills.
It also provides guidance on the presentation of research results at academic conferences and the preparation andsubmission of manuscripts to academic journals.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Evaluation will be made totally on a basis of attendance, reports and discussions at the seminar.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SD40020013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

International Advanced Research Course for Doctoral Thesis of Science 2 (Mathmatics)

Subject Number
Credits
Main Lecturer

1CreditTeaching Method

LectureHiroshi Tamaru
International research experience through research activities and scholarly exchanges abroad.

Main Theme of the
Subject
Each student is expected not only to make advancements in research towards the doctoral thesis, but also to participate
in international scientific communities.

Goal of the Subject

Each student will be advised on where to go, what to do there, and also on how to give a research presentation in
English, by his or her adviser. After returning to Japan, he or she is expected to present a research report.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned individually. Also each student is expected to seek research problems actively.

The grade is assigned based on the advancements in research and also on the improvements of the skill in research

Evaluation Method

presentation and scientific communication in the international setting.
It is required to consult the adviser before registering this course.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SD40020023

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

International Advanced Research Course for Doctoral Thesis of Science 2 (Physics)

Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

1CreditTeaching Method

LectureKen-ichi Nakao
Students are expected to experience research in international fields through research activities and academic exchanges
outside Japan.

Through research activities outside Japan, we aim to make progress in research plans of the Doctoral thesis, to achieve
research goals, and to participate in international scientific communities of students and researchers in each research
field.

The university or research institute to be dispatched and research plans will be determined through discussion with thesupervisor. Encourage students to make research proposal and plan and to acquire the presentation of research (inEnglish) or experimental skills. After returning to Japan, research results are to be reported.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned by faculty. In addition, students are encouraged to make research subjects by oneself, and to study actively
the subject before and after the project.
Grading will be given based on research results and progress of research. Improvement of overseas presentation and

Evaluation Method

communication skills is also confirmed and evaluated.
Regarding international research plans, etc., consult with the supervisor before registering for the course.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureSM11150012
Selected Topics in Algebraic Structures Ⅲ
SAMAL1507
1Credit
Mitsuyasu Hashimoto

Recent topics about Algebra are given by specialists in other universities as an intensive lecture.

Main Theme of the
Subject
To be assigned later.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the reports and the participation in the class.

Evaluation Method
To be assigned later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11160012

Offering Academic
Year/Semester

2020Year First Semester

Selected Topics in Algebraic Structures Ⅳ
SAMAL1508
1CreditTeaching Method

LectureMitsuyasu Hashimoto
Recent topics about Algebra are given by specialists in other universities as an intensive lecture.

Main Theme of the
Subject
To be assigned later.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the reports and the participation in the class.

Evaluation Method
To be assigned later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11190011

Offering Academic
Year/Semester

2020Year First Semester

Selected Topics in Geometric Structures Ⅲ
SAMGE1507
1CreditTeaching Method

LectureTaizo Kanenobu
Recent topics about Geometry are given by specialists in other universities as an intensive lecture.

Main Theme of the
Subject
To be assigned later.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the reports and the participation in the class.

Evaluation Method
To be assigned later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11200011

Offering Academic
Year/Semester

2020Year First Semester

Selected Topics in Geometric Structures Ⅳ
SAMGE1508
1CreditTeaching Method

LectureTaizo Kanenobu
Recent topics about Geometry are given by specialists in other universities as an intensive lecture.

Main Theme of the
Subject
To be assigned later.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the reports and the participation in the class.

Evaluation Method
To be assigned later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11430011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

Lecture／Seminar

Topics in Mathematical Structures 1
SAMMS1501
2Credits
Hyohe Miyachi
Introduction to recent research topics and results in algebra by the faculty members in algebra.

Main Theme of the
Subject
This course is intended to learn recent research topics and results in algebra guided by the faculty members and by
giving presentations. We hope to raise the level of the knowledge of the students to the research level.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

For example, in order to learn the theory of the category of modules using homological algebra, the following is apossibility.
Lecture 1: Artinian rings
Lecture 2: Modules over Artinian rings
Lecture 3: Category of modules over Artinian rings
Lecture 4: Injective objects
Lecture 5: Differential complexes
Lecture 6: Homology
Lecture 7: Projective objects
Lecture 8: Generators
Lecture 9: Morita equivalence
Lecture 10: Triangulated categories
Lecture 11: Localization
Lecture 12: Derived equivalence
Lecture 13: Quasi-Frobenius rings
Lecture 14: Derived equivalence concerning modules over groups

To read and to understand the assigned materials.

The grade is given based on the presentations and the attendance.

Evaluation Method
The format, the level and the contents of the course are subject to change according to the areas of specialty and theComments to Students interests of the students and the faculty members.
The materials and the references are assigned by the faculty members.

Teaching Materials

Remarks1

Those who plan to register this course are required to contact the appropriate faculty member beforehand.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11440011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

Lecture／Seminar

Topics in Mathematical Structures 2
SAMMS1502
2Credits
Taizo Kanenobu
Recent topics in geometric topology are introduced.

Main Theme of the
Subject
Researchers in the field of topology introduce recent research results and research subjects related to topologicalgeometry. Students also present them under the direction of the supervisor.

Goal of the Subject

Basic notions in classical knot theory. Some topics in classical knot theory. Recent topics in classical knot theory.
Basic notions in 4-dimensional knot theory. Some topics in 4-dimensional knot theory. Recent topics in 4dimensional knot theory. Topological invariants in knot theory; basic notions related to (co)homology
theory ;recent topics related to (co)homology.
Basic notions in graph theory related to topology. Some topics in graph theory related to topology. Recent topics ingraph theory related to topology. Basic notions in spatial graph theory. Some topics in spatial graph theory.

Contents of the
Subject/Subject Plan

Preparation andReview

Learning is expected to deepen the understanding of the topics and research results by reading the literature and its
references.
Comprehensively evaluated by presentations and/or reports.

Evaluation Method
The contents, progress and form of the course may be changed depending on the specialized field of the supervisor, theComments to Students research field of the students, the research situation, etc.
Will be introduced during the class

Teaching Materials

Remarks1

Students who who wish to take this course should contact the supervisor in advance.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11450011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

Lecture／Seminar

Topics in Mathematical Structures 3
SAMMS1503
2Credits
Takamichi Sano
Introduction to recent research topics and results in algebra by the faculty members in algebra.

Main Theme of the
Subject
This course is intended to learn recent research topics and results in algebra guided by the faculty members and by
giving presentations. We hope to raise the level of the knowledge of the students to the research level.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

As an example, the following is a possibility.
Lecture 1: Commutative rings
Lecture 2: Affine algebraic varieties
Lecture 3: Schemes
Lecture 4: Lie algebras
Lecture 5: Semisimple Lie algebras
Lecture 6: Representation theory of Lie algebras
Lecture 7: Lie groups
Lecture 8: Compact Lie groups
Lecture 9: Semisimple Lie groups
Lecture 10: Symmetric spaces
Lecture 11: Hermitian symmetric spaces
Lecture 12: Analysis on symmetric spaces
Lecture 13: Iwasawa theory
Lecture 14: Non-commutative Iwasawa theory

To read and to understand the assigned materials.

The grade is given based on the presentations and the attendance.

Evaluation Method
The format, the level and the contents of the course are subject to change according to the areas of specialty and theComments to Students interests of the students and the faculty members.
The materials and the references are assigned by the faculty members.

Teaching Materials

Remarks1

Those who plan to register this course are required to contact the appropriate faculty member beforehand.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11460011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

Lecture／Seminar

Topics in Mathematical Structures 4
SAMMS1504
2Credits
Hirotaka Akiyoshi
This course deals with recent topics in topology.

Main Theme of the
Subject
At the end of the course, the participants are expected to acquire the necessary knowledge of topology needed to start
their own study.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

Recent topics and results are introduced by researchers. Students also give oral presentations on the topics assigned.
Lesson 1. Basics of Fuchsian groups
Lesson 2. Topics in Fuchsian groups
Lesson 3. Basics of the mapping class groups of surfaces
Lesson 4. Topics in the mapping class groups of surfaces
Lesson 5. Recent developments in the mapping class groups of surfaces
Lesson 6. Basics of Heegaard splittings and Dehn surgeries of 3-manifolds
Lesson 7. Topics in Heegaard splittings and Dehn surgeries of 3-manifolds
Lesson 8. Recent developments in Heegaard splittings and Dehn surgeries of 3-manifolds
Lesson 9. Basics of Kleinian groups
Lesson 10. Topics in Kleinian groups
Lesson 11. Recent developments in Kleinian groups
Lesson 12. Basics of 3-dimensional geometric structures
Lesson 13. Topics in 3-dimensional geometric structures
Lesson 14. Recent developments in 3-dimensional geometric structures
Course contents may change according to the attendants in the lectures.

Carefully read through and understand the contents of the references.

Evaluated based on class attendance and quality of oral presentations.

Evaluation Method
Course contents may change according to the attendants in the lectures.

Comments to Students
Will be introduced in the class.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

SM11480011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureAdvanced Algebra Ⅱ
SAMAL1502
2Credits
Hyohe Miyachi
Homological Algebra has been used in a vast area in mathematics, not only algebra but also the other subject as afundamental theory. As a prototype, we shall recall the (co)homology theory in module categories over rings. Startingfrom some basic properties on modules, we shall learn on the topics : Jacobson radicals, simple algebras, noetherianmodules, artinian modules, injective modules and projective modules. These will be useful in more general abeliancategores as the same kind of scheme works in those general categories.
The main theme is the ring theory and its representation theory. Recalling the quotient ring and the quotient modules,
we shall learn semi simple modules, semi simple algebras, injective modules and projective modules. We shall learn asa protyotype of cohomology theory, which is supposed to be a basement of ring theory and representation theory.
1. Modules over a ring and their properties. Read the section 4 of chapter 1 in the text book. Solve the exercises in theend of this section.
2. Modules over a ring and their homorphisms. Read the section 1 of chapter 2 in the text book. Solve the exercises inthe end of this section.
3. Factor modules. Read the section 2 of chapter 2 in the text book. Solve the exercises in the end of this section.
4. Direct sum and product. Read the section 3 of chapter 2 in the text book. Solve the exercises in the end of thissection.
5. Noetherian and artinian modules. Read the section 4 of chapter 2 in the text book. Solve the exercises in the end of
this section.
6. Exact sequences. Read the section 5 and 6 of chapter 2 in the text book. Solve the exercises in the end of this section.
7. Direct sum revisited. Read the section 1 of chapter 3 in the text book. Solve the exercises in the end of this section.
8. Endomorphism rings and indecomposable modules. Read the section 2 and 3 of chapter 3 in the text book. Solve theexercises in the end of this section.
9. Characterizations of split exact sequences. Solve the exercises on topics of this section.
10. Semi simple modules and Jacobson radicals. Read the section 1 and 2 of chapter 7 in the text book. Solve theexercises in the end of this section.
11. Simple algebras. Read the section 3 of chapter 7 in the text book. Solve the exercises in the end of this section.
12. Semi simple algebras. Solve the exercises on topics of this section.
13. Injective modules and projective modules. Read the section 1 and 2 of chapter 4 in the text book. Solve theexercises in the end of this section.
14. The existence of injective hull. Read the section 3 and 4 of chapter 4 in the text book. Solve the exercises in the endof this section.
15. Homological algebra. Read the corresponding part of chapter 6 in the text book. Solve the exercises in the end of
this section.
Every time, abstract notion and definitions will appear. On the contrary keep concrete examples in mind and recreate
exercise by your own. Especially, one should make the smallest non trivial example for each notion.

Preparation andReview

The recalling and reviewing the nontion in lectures are supposed to be the most important. In Mathematics, the things
are piled by basics, in other words, basements are the most important. Before going into the new topics, one should
totally understand the past previous topics.

Evaluation Method

Scored by the report.
Definitions themselves are perhaps very simple. But, to comprehend or to appreciate new (abstract) notion, one need

Comments to Students some efforts finding a lot of applicable concrete examples.
Applicants are supposed to have the credits on Algebra I, II and III.

Teaching Materials

If one needs a text book written in English, ask the lecturer for this.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

SM11500011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureAdvanced Algebra Ⅳ
SAMAL1504
2Credits
Shunsuke Yamana
I will give lectures on the basics of "algebraic number theory" which studies various properties of the field generated
by algebraic numbers (numbers that are the roots of polynomials whose coefficients are rational numbers). Basicknowledge of algebra is assumed for the time being, but I would like to supplement it a little each time.

The goal of this lecture is to enable students to learn the following items and to proceed to more specialized study andresearch on algebraic number theory.
(1) Explain the quadratic reciprocity law.
(2) Explain the basic concepts of algebraic number fields such as integer rings, ideals, and discriminants.
(3) Explain the fundamental theories, such as prime ideal decomposition, discriminants and ramifications, and Hilbert's
theory on the splitting of prime ideals in Galois extensions.
(4) Apply it to concrete examples such as quadratic and cyclotomic fields.
(1): Euclidean algorithm and continued fraction(2): Primitive roots(3): Quadratic reciprocity law(4): review of the field theory(5): Algebraic numbers, algebraic fields and examples(6): Integer rings and ideals(7): Discriminants(8): Fundamental theorem of ideal theory(9): Residue rings(10): Decomposition of prime numbers in algebraic number fields(11): Ramification theory(12): Hilbert's Theory(13): Gauss sum and Jacobi sum(14): Cyclotomic fields(15): Quadratic fields(1): Read the corresponding part of Section 3 of the textbook.
(2): Read the corresponding part of Section 10 of the textbook.
(3): Read the corresponding part in Section 13 of the textbook.
(4): Read the corresponding part of Chapter 2 of the textbook. After the lecture, solve the report problems imposed sofar.
(5): Read the corresponding part of Sections 14, 19 in the textbook.
(6): Read the corresponding part of Section 22 of the textbook.
(7): Read the corresponding part of Section 22 of the textbook.
(8): Read the corresponding part of Section 23 of the textbook.
(9): Read the corresponding part of Section 24 of the textbook.
(10): Read the corresponding part of Section 25 of the textbook.
(11): Read the corresponding part of Section 26 of the textbook. After the lecture, solve the report problem to be
imposed in (5)-(11).
(12): Read the corresponding part of Section 17 of the textbook.
(13): Read the corresponding part of Section 27 of the textbook.
(14): Read the corresponding part of Sections 28 and 29 of the textbook.
(15): Read the corresponding part of Section 30 of the textbook. After the lecture, solve the report problem imposed in
all areas.

(1) Impose report problems to measure the achievements.

Evaluation Method(2) Evaluation is mainly based on reports, but also takes into account the attendance situation such as responses duringlectures.
(3) To be able to explain the basic concept of algebraic number field is the minimum criterion for passing.
This course assumes basic knowledge of algebra, so be sure to prepare for the necessary materials according to theComments to Students

lecture schedule to be conveyed during the lecture. In addition, since the items explained during the lecture will be
required in the next and subsequent lectures, review the definitions and theorems to ensure that one understands thecontents.
Takashi Ono, An Introduction to Algebraic Number Theory, University Series in Mathematics.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM11520011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureAdvanced Geometry Ⅱ
SAMGE1502
2Credits
Yoshihiro Ohnita
Harmonic map equations from Riemann surfaces to symmetric spaces is one of the fundamental objects in differential
geomtetry. Starting from the beautiful fact that it can be formulated as the zero curvature equations with the spectral
parameter, we will discuss the integrable system theoretic approach based on loop groups and infinite dimensional
Grassmannians, their relations with Toda field equations and so on.
The aim of this lecture is to understand that the harmonic map equations from Riemann surfaces into symmetricspaces have various properties, structures and genralizations and infinite dimensional methods work well there.

Goal of the Subject

Contents of the
Subject/Subject Plan

1. A short course of Riemannian geometry
2. Definition of harmonic maps between Riemannian manifolds
3. Harmonic maps from Riemann surfaces
4. Lie groups and symmetric spaces
5. Harmonic maps from Riemann surfaces to symmetric spaces
6. Zero curvature equations for harmonic map equations
7. Extended solutions into loop groups
8. Geometry of infinite dimensional Grassmann manifolds
9. Loop group actions on harmonic maps
10. Morse theoretic aspect of loop groups
11. Formula of Dorfmeister-Pedit-Wu
12. Uniton transforms for harmonic maps
13. Harmonic maps of finite uniton number
14. Finite type harmonic maps
15. Algebraically completely integrable systems

In this lecture it is assumed that studentes have lerned mathematical basic subjects on calculus, linear algebra, set theory

Preparation andReviewand general topology, algebras such as group theory and vector spaces, vector analysis, complex analysis, ODE, andgeometry of curves and surfaces, elementary algebraic topology, basic theory of smooth manifolds etc.
The evaluation to students will be done by the participation, exercises on lectures, mini-tests，reports etc.

Evaluation Method
Let us study one by one new mathematics for you. Do not forget to review even matematics which you have alreadyComments to Students learned.
The notes and relevant literatures will be shown on the lectures.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM11540011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureAdvanced Geometry Ⅳ
SAMGE1504
2Credits
Hiroshi Tamaru
We give an introductory course to symmetric spaces and quandles. Symmetric spaces are important concept indifferential geometry, and quandles are originated in topology and knot theory. In general, symmetric spaces arequandles, and quandles can be regarded as discretization of symmetric spaces. In this course, we mention several
studies from this viewpoint.
Study basic concepts of symmetric spaces and quandles through explicit examples.

Goal of the Subject

1-4: Basic concepts of symmetric spaces and quandles
5-9: Basic classes of symmetric spaces and quandles
10-14: Subsets in symmetric spaces and quandles

Contents of the
Subject/Subject Plan

Preparation andReview

Read the resume given in the class, and understand the story. Solve exercises. Construct examples which are not givenin the lecture.
Basically based on the reports. Possibly there are exams.

Evaluation Method
It is important to calculate and study explicit examples.

Comments to Students
Resume will be given.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM11550011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureMathematical Analysis 1
SAMMA1501
2Credits
Masaharu Nishio
We shall introduce some topics on the complex analysis, the probability theory, the potential theory, the partial
differential equations, et al.

You should obtain the knowledge on the complex analysis, the probability theory, the potential theory, the partial
differential equations, et al.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

The following is an example:
1st The Riemann surfaces
2nd The holomorphic differential
3rd The quasi-conformal mappings
4th The mathematical statistics
5th The 2 dimensional hyperbolic geometry
6th The Fuchsian groups
7th The probability theory
8th The stochastic processes
9th The dynamics on the circle
10th The asymptotic Teichmuller spaces
11th The partial differential equations
12th The variational methods
13th The harmonic functions
14th The potential theory

You should read carefully and understand some papers.

Wright reports.

Evaluation Method
Show those on the board.

Comments to Students
It will be suggested by each lerctures.

Teaching Materials

Remarks1

You should contact us.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM11560011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureMathematical Analysis 2
SAMMA1502
2Credits
Hiroshi Tamaru
Several classical and modern topics selected from differential geometry and geometric analysis, especially geometricvariational problems will be lectured.

This lecture aims to learn the foundations of differential geometry and related mathematics. Recent progress andresearch topics in differential geometry are presented by some lecturers.

Goal of the Subject

The lecture plan will be concretely shown in class. For example,
Submanifolds in Euclidean spacesVector bundles and connectionsLie groups, classical groups and LiealgebrasRiemannian manifoldsGeodesics and variational formulasMorse theory over manifoldsIsometry groups andholonomy groupsCurvaturesRiemannian manifolds of constant curvaturesCurvatures and topology ofmanifoldsCurvatures and spectrum of Laplace operatorMinimal submanifoldsHarmonic mapsSymplectic
manifoldsetc.

Contents of the
Subject/Subject Plan

Preparation andReview

Read and try to understand the books or papers suggested in advance or in class.

Evaluated by the attendance, reports etc. to the lectures.

Evaluation Method
The contents, progress and style of the lectures are possible to be changed, depending on the speciality of lecturers andComments to Students research field and interests of students.
It will be suggested by each lerctures.

Teaching Materials

Remarks1

A student who wants to attend this lecture must take contact to a main lecturer in advance.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM11570011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureMathematical Analysis 3
SAMMA1503
2Credits
Sachiko Hamano
The focus of this course is an introduction to mathematical analysis in general: complex analysis, probability theory,
potential theory, partial differential equations, dynamical systems, harmonic analysis, mathematical statistics and so on.

Understand the basics of mathematical analysis in general: complex analysis, probability theory, potential theory,
partial differential equations, dynamical systems, harmonic analysis, mathematical statistics and so on.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

Introduction to mathematical analysis in general:
I. Complex analysis,
II. Probability theory,
III. Potential theory,
IV. Partial differential equations,
V. Dynamical systems,
VI. Harmonic analysis,VII. Mathematical statistics,
and so on.

Students are expected to read a text book and references carefully.

Attendance and report

Evaluation Method
It will be presented separately.

Comments to Students
Contents will be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number

SM11580011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureMathematical Analysis 4
SAMMA1504

Credits

2Credits

Main Lecturer

Shin KatoIntroduction to recent topics on differential geometry.

Main Theme of the
Subject
To know recent topics and to understand recent results on differential geometry.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

Recent topics and recent results on differential geometry.
[1] Basic facts on geometry of submanifolds[2] Topics on geometry of submanifolds[3] Recent results on geometry of submanifolds[4] Basic facts on symmetric spaces and Lie groups[5] Topics on symmetric spaces and Lie groups[6] Recent results on symmetric spaces and Lie groups[7] Basic facts on harmonic maps and minimal surfaces[8] Topics on harmonic maps and minimal surfaces[9] Recent results on harmonic maps and minimal surfaces[10] Basic facts on Riemannian geometry[11] Topics on Riemannian geometry[12] Recent results on Riemannian geometry[13] Basic facts on symplectic geometry and moment maps
[14] Topics on symplectic geometry and moment maps
[15] Recent results on symplectic geometry and moment maps

Students attending this lecture are expected to read original papers on the topics introduced and to understand them
deeply.
Report etc..

Evaluation Method
Contact the lecturer before taking the registration for this lecture.

Comments to Students
Not specified.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11600011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureAdvanced Analysis Ⅱ
SAMAN1502
2Credits
Takayuki Koike
We discuss on the fundamental theories on complex geometry, especially on compact Kahler manifolds.

Main Theme of the
Subject
Our goal is to understand the theories on harmonic itnegrations and Hodge theory, and as an application, the structureof the cohomology of a compact Kahler manifolds.

Goal of the Subject

1: Holomorphic functions and forms
2: Complex manifolds and vector bundles
3~6: Sheaf cohomology (Categories, Sheaves, Cohomology, Dolbeault's theorem)
7~9: Geometry of vector bundles (Metrics, Connections, Curvature tensors)
10~12: Kahler manifolds (Kahler-ness, Examples of Kahler manifolds, Vanishing theorems)
13~16: Harmonic integrals and its applications (Operators on Kahler manifolds, Harmonic forms, Hodge theory,
Examples and applications)Contents of the
Subject/Subject Plan

Preparation andReview

We strongly recommend the students to consider the example whenever we give a new definition or theorems.

Based on the attendance and reports.

Evaluation Method
It is desirable that you have learned some fundamental theories on complex analysis and manifolds.

Comments to Students
Based on our lecture notes. The text book "Complex Geometry" by Shoshichi Kobayashi (in Japanese) will be a good

Teaching Materials

Remarks1

reference.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM11620011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureAdvanced Analysis Ⅳ
SAMAN1504
2Credits
Hideyuki Ishi
We discuss analytic problems related to the Heisenberg group. The Heisenberg group is a Lie group corresponding to
the Lie algebra defined by the so-called canonical commutation relation, and it is named after a renowned physicist,
Welner Karl Heisenberg.

Students will understand how the representation theory connects functional analysis, complex analysis, andmathematical physics.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview[1] The Heisenberg group[2] The Schroedinger representation[3] Twisted convolution[4] Harmonic Oscillator[5] The Fourier-Wigner transformations[6] Bijectivity of the Fourier-Wigner transformations[7] Examples of the Fourier-Wigner transformations[8] The Weyl quantizations[9] The Fock-Bargmann representaiton[10] The Forck-Bargmann representaiton and differential operators[11] Siegel domain and the Heisenberg group[12] A CR structure on the Heisenberg group[13] The CR Laplacian on the Heisenberg group[14] The Metaplectic group[15] Conclusion

Students are expected to understand what is a problem, through reading references introduced in the lecture.

Report etc.

Evaluation Method
Students are expected to have some knowledge about functional analysis and Lebesgue integrals

Comments to Students
G. B. Folland, "Harmonic Analysis in Phase Space", Pinceton University Press, 1989.E. M. Stein, "Haronic Analysis:

Teaching Materials

Real-Variable Methods, Orthogonality, and Oscillatory Integrals", Princeton University Press, 1993. Other references
are introduced in the lRemarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM11640011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureIntroduction to Mathematics Ⅱ
SAMIN1502
2Credits
Masamichi Yoshida
This is an omnibus course of introductions on latest frontiers of mathematics. A half of the faculties introduce a topic of
their research subjects by one or two lectures. The another half faculties are in charge of the introduction ofmathematicsⅠ.

The goal is to realize latest frontiers of mathematics and learn various mathematical perspectives
through introductions on research subjects of faculties in an omnibus form.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview(1) An introduction on a topic of the representation theory(2) An introduction on a topic of the algebraic groups(3) An introduction on a topic of the number theory(4) An introduction on a topic of the ring theory(5) An introduction on a topic of the knot theory(6) An introduction on a topic of the 3- and 4-dimensional topology(7) An introduction on a topic of the geometry of transformation groups(8) An introduction on a topic of the differential geometry(9) An introduction on a topic of the variational methods(10) An introduction on a topic of the nonlinear partial differential equations(11) An introduction on a topic of the complex analysis(12) An introduction on a topic of the potential theory(13) An introduction on a topic of the ergodic theory(14) An introduction on a topic of the probability theory(15) An introduction on a topic of the statistics
The above is one example. The order of the course contents may be different.

To be assigned later.

Attendance and reports

Evaluation Method
To be presented separately.

Comments to Students
A particular text book is not designated. A handout is freely given.

Teaching Materials

Remarks1

The course starts biennially at an odd year.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11670011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureSelected Topics in Analysis Ⅲ
SAMAN1507
1Credit
Futoshi Takahashi
Recent topics about Analysis are given by specialists in other universities as an intensive lecture.

Main Theme of the
Subject
To be assigned later.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the reports and the participation in the class.

Evaluation Method
To be assigned later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM11680011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureSelected Topics in Analysis Ⅳ
SAMAN1508
1Credit
Futoshi Takahashi
Recent topics about Analysis are given by specialists in other universities as an intensive lecture.

Main Theme of the
Subject
To be assigned later.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the reports and the participation in the class.

Evaluation Method
To be assigned later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

SM12010011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureQuantum Field Theory
SAPL11501
2Credits
Masaki Arima
Two instructors will give lectures. Prof. Arima will give a lecture on the basics of quantum field theory,whose final
goal is the perturbation theory based on the canonical quantization for the scalar field and the electromagnetic
field.Prof. Maru will give a lecture on the basics of quantum field theory, whose final goal is the perturbation theory
and renormalization based on the path integral quantization.
Learning about the free field theory and interacting field theory through the canonical quantization and the path
integral quantization.

Arima
１ Review of classical field theory
２ Conservation law
３ On neutral scalar field: Hamiltonian
４ On neutral scalar field: Canonical quantization
５ On neutral scalar field: Examples of conservation law
６ On charged scalar field
７ On electromagnetic field: Differences between the scalar field and the electromagnetic field
８ On electromagnetic field: Difficulties in quantization
９ On electromagnetic field: Gauge fixing and quantization
１０ On interactions of fields: Interaction representation
１１ On interactions of fields: Wick's theorem
１２ On interactions of fields: Application to the scalar field theory
１３ On interactions of fields: Interaction with the gauge field
１４ Introduction of renormalization: Higher order perturbations and divergence
１５ Introduction of renormalization: Prescription for renormalization
Maru
１ Path integral in quantum mechanics
２ Path integral of scalar field: Introduction
３ Path integral of scalar field: Green functions
４ Path integral of scalar field: Generating functional
５ Perturbation theory: Formulation
６ Perturbation theory: Feynman rules
７ Renormalization: Regularization
８ Renormalization: Φ4 theory
９ Renormalization: Φ3 theory, scalar QED, renormalizability
１０ Effective action: Effective potential
１１ Effective action: Dynamical symmetry breaking
１２ Path integral of spinor field
１３ Path integral of electromagnetic field
１４ Renormalization group: Perturbative renormalization group
１５ Renormalization group: Winsonian renormalization group
It is desirable to confirm the content of the previous lecture before the lecture.It is required to check again the content of
the lecture by yourself after the lecture.

The grading is evaluated by attendance and a take-home exam.For those who take both lectures, the grading is evaluatedEvaluation Methodby better scored one.
Prof. Arima's lecture will be held in the second period on Tuesday at the science building B105.Prof. Maru's lecture will

Comments to Students be held in the third period on Tuesday at the science building B105.Students can take either or both classes dependingon the contents of the lecture. Attendance will be required. Questions about the lecture are welcome.
Greiner & Reinhardt, “Field Quantization”, Springer (Arima)

Teaching Materials

Remarks1

Peskin & Schroeder, “An Introduction to Quantum Field Theory” (Maru)Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM12020011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureTheory of Elementary Particles
SAPL11502
2Credits
Nobuhito Maru
In this lecture, the basics and problems of the electroweak unified theory in particle physics are discussed.Grandunified theory as an example of physics beyond the Standard Model is also introduced.

In this lecture, the physics of the electroweak theory and the grand unified theory will be discussed.

Goal of the Subject

Spontaneous Symmetry Breaking: Discrete Symmetry
Spontaneous Symmetry Breaking: Abelian Symmetry, Goldstone Model
Spontaneous Symmetry Breaking: Non-Abelian Symmetry
Nambu-Goldstone's Theorem
Spontaneous Symmetry Breaking of Gauge Symmetry: Higgs Mechanism
Spontaneous Symmetry Breaking of Chiral Symmetry: Nambu-Jona-Lasino Model
Spontaneous Symmetry Breaking of Chiral Symmetry:
Pion as a Nambu-Goldstone Particle
８ Weinberg-Salam model, Electroweak Symmetry Breaking
９ Lepton sector: Yukawa Coupling, Charged Current, Neutral Current
１０ Quark sector: Yukawa Coupling, CKM Matrix
１１ Quark sector:GIM Mechanism
１２ Quark scetor: CP Violation
１３ Neutrino Oscillation
１４ Grand Unified Theory: SU(5) Model, Gauge Coupling Unification
１５ Grand Unified Theory: Proton Decay, SO(10) Model
１
２
３
４
５
６
７

Contents of the
Subject/Subject Plan

Preparation andReview

Before attending a lecture, the content of the previous lecture should be checked.After the lecture, the calculations donein the lecture should be checked again by yourself.
The grading is evaluated by a take-home exam.

Evaluation Method
Do not hesitate to ask if you have a question about the lectures.It is desirable to have knowledge of the basics of theComments to Students special relativity and the quantum field theory.
It will be announced in the lecture.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

SM12030011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureMathematical Methods of Physics
SAPL11503
2Credits
Hiromitsu Hamabata
The general methods of solutions of partial differential equations are explained systematically, and methods ofsolutions of several partial differential equations appearing in physics are also discussed.

We acquire the mathematical ability to understand the various solution methods of partial differential equations and to
elucidate the physical phenomena that are often formulated in the form of partial differential equations.

1. Linear Partial Differential Equations (1): Basic Concepts and Definitions.
2. Linear Partial Differential Equations (2): The Classification of Second-Order Linear Equations and The Method of
Characteristics.
3. Linear Partial Differential Equations (3): The Method of Separation of Variables.
4. Linear Partial Differential Equations (4): Fourier Transforms and Initial-Boundary -Value Problems.
5. Linear Partial Differential Equations (5): Applications of Multiple Fourier Transforms to Partial Differential
Equations.
6. Linear Partial Differential Equations (6): Laplace Transforms and Initial-Boundary-Value Problems. Green's
Functions and Boundary-Value Problems.
7. First-Order, Quasi-Linear Equations and The Method of Characteristics (1): The Classification and GeometricalInterpretation of a First-Order Equation.
8. First-Order, Quasi-Linear Equations and The Method of Characteristics (2): The Method of Characteristics andGeneral Solutions.
9. First-Order Nonlinear Equations: The Gerneralized Method of Characteristics and Complete Integrals of Certain
Special Nonlinear Equations.
10. Conservation Laws and Shock Waves (1): Introduction and Conservation Laws.
11. Conservation Laws and Shock Waves (2): Discontinuous Solutions and Shock Waves.
12. Exact Solutions of Certain Nonlinear Partial Differential Equations (1): Burgers' and Thomos' Equations.
13. Exact Solutions of Certain Nonlinear Partial Differential Equations (2): KdV Equation. The Series Solution.
14. The Method of Solutions of Stochastic Differential Equations: Projection Operator Method.

After the lecture, the students will have to attend the next lecture after confirming the contents of the lecture by using
their own hands to calculate the contents of the lecture.
Grading is given based on attendance attitude(40%) and end-of-term reports (60%).

Evaluation Method
To be specified separately.

Comments to Students
Distribute prints as appropriate. Reference: Ｌ．
Ｄｅｂｎａｔｈ, Nonlinear Partial Differential Equations for Scientists

Teaching Materials

Remarks1

and Engineers（Ｂｉｒｋｈａｕｓｅｒ）

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM12040011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LecturePlasma Physics
SAPL11504
2Credits
Hiromitsu Hamabata
The basic equations are established based on kinetic and fluid theories of the plasma, which is an ensemble of a large
number of charged particles that interact electromagnetically, and various plasma phenomena, especially plasma wave
phenomena are explained. It also outlines the weak turbulence theory of the plasma.

Understand the basic principles of plasma physics and acquire the basic techniques of plasma physics.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

1. Introduction (1): Debye Shielding. Plasma Parameter.
2. Introduction (2): Plasma Frequency. Collisions.
3. Single Particle Motion (1): Various Drifts.
4. Single Particle Motion (2): Magnetic Moment. Adiabatic Invariant. Ponderomotive Force.
5. Plasma Kinetic Theory (1): Klimontovitch Equation. Plasma Kinetic Equation.
6. Plasma Kinetic Theory (2): Liouville Equation. BBGKY Hierarchy.
7. Plasma Kinetic Theory (3): Bogoliubov's Hypothesis. Leonard-Balescu Equation.
8. Vlasov Equation (1): Equilibrium Solutions. Electrostatic Waves.
9. Vlasov Equation (2): Landau Contour. Wave-Particle Interaction. Landau Damping.
10. Vlasov Equation (3): General Theory of Linear Vlasov Waves.
11. Vlasov Equation (4): Exact Solution of Nonlinear Waves (BGK Mode, etc.).
12. Fluid Equations (1): Derivation of the Fluid Equations From the Vlasov equation. Dielectric Function.
13. Fluid Equations (2): Fluid Theory of Various Linear Plasma Waves. Nonlinear Waves.
14. Weak Turbulence Theory (1): Quasi-Linear Theory. Induced Scattering.
15. Weak Turbulence Theory (2): Wave-Wave Interactions.

After the lecture, the students will have to attend the next lecture after confirming the contents of the lecture by using
their own hands to calculate the contents of the lecture.
Evaluation is based on a total of 40 points of attendance and 60 points of end-of-term reports.

Evaluation Method
To be specified separately.

Comments to Students
Reference book: D. R. Nicholson, "Introduction to Plasma Theory"

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM12070011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

Lecture／Seminar

Relativistic Astrophysics
SAPL11507
2Credits
Hideki Ishihara
Physical phenomena in relativistic cosmology

We aim to understand physical phenomena in the universe where general relativity plays important roles.

Goal of the Subject
1. Review of Fuluid Mechanics
2. Fundamental Aspects of General Relativity; Riemannian Geometry
3. Fundamental Aspects of General Relativity; Einstein’s Equation
4. Big-bang Cosmology; Homogeneous and Isotropic Cosmological Models
5. Big-bang Cosmology; Red Shift and Hubble’s Law
6. Big-bang Cosmology; Themal History of the Universe 1; Relativistic Statistical Mechanics
7. Big-bang Cosmology; Themal History of the Universe 2; Recombination, Primordial Neutrinos

Contents of the
Subject/Subject Plan

8. Big-bang Cosmology; Themal History of the Universe 3; Nucleosynthesis
9. Big-bang Cosmology; Cosmic Microwave Background
10. Big-bang Cosmology; Inflationary Universe
11. Black Holes; Schwarzschild Solution
12. Black Holes; Kuruskal Coordinates and Event Horizon
13. Black Holes; Geodesics, Apsidal precession, Gravitational Lensing
14. Gravitational Collapse; Chandrasekhar Mass, Dust Collapse

Preparation andReview
Evaluation Method

To be announced in the lecture.

To be announced in the lecture.
Active discussion is encouraged.

Comments to Students
Teaching Materials

To be announced in the lecture.

Subject Code
Subject
Name(English)
Subject Number

SM12080011

Main Lecturer

Koichi Sato

Contents of the
Subject/Subject Plan

Preparation andReview

Teaching Method

LectureSAPL11508
2Credits

Goal of the Subject

2020Year First Semester

Nuclear Physics Ⅰ

Credits

Main Theme of the
Subject

Offering Academic
Year/Semester

This course deals with basic properties of atomic nuclei as quantum many-body systems and introductory nuclear
structure and reaction theories. Through the course, students understand the role and importance of nuclear physics inmodern physics.

The goal is to understand the concepts of models of nuclear structure and reaction. The following topics are covered inthis course;* Nuclear structure: basic properties (nuclear size, shape, binding energy...), single-particle picture andnuclear shell m

1. Discovery of atomic nucleus, measurement of nuclear size and binding energy
2. Electron scattering and nuclear charge density
3. Properties of nuclear force and effective interaction
4. Mean field and single-particle picture, shell model
5. Nuclear collective motion (vibration, rotation and giant resonance)
6. Microscopic models on nuclear collective motion I (Hartree-Fock method, Time-dependent Hartree-Fock method
and RPA)
7. Microscopic models on nuclear collective motion II (quasi-particles, Hartree-Fock-Bogoliubov theory, density
functional theory)
8. Basics of nuclear reaction
9. Quantum scattering theory and scattering states
10. Elastic scattering and Optical model
11. Multiple scattering and effective interaction, optical potential
12. Models of direct reaction I (DWBA)
13. Models of direct reaction II (Coupled channel method)
14. Unstable nuclei and break-up process, many-body scattering problem

Students are expected to review each class for roughly one hour, look over references introduced in the class, and submit
some reports if necessary.
Grading will be based on submitted reports, attendance, questions, and contribution to discussion in classes.

Evaluation Method
Depending the number of students, the course may be given in a seminar style.

Comments to Students
Textbooks and materials relevant to the lecture will be introduced in the class. Some examples are as follows: "Nuclear
Structure", K. Takada and K. Ikeda (Asakura Shoten) [原子核構造論（高田健次郎、池田清美、朝倉書店）],"TheTeaching Materials

Nuclear Many-body Problems", P, Ring and P. Schuck (Springer), "Introduction to quantum scattering theory", K.
Oagata (Kyoritsu Shuppan) [量子散乱理論への招待（緒方一介、共立出版）], Nuclear Reactions for Astrophysics(Thompson, Nunes, Cambridge).

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM12090011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureNuclear Physics Ⅱ
SAPL11509
2Credits
Masaki Arima
The ''Hadron" is the name for the smallest 'visible' particles. The nucleon, which composes the nucleus, is a memberof the hadrons.This lecture will explore the hadronic phenomena in terms of the field theory with reference to theirproperties of internal symmetry.

This lecture aims to give an overview of the hadron world, and to understand the roll of the internal symmetry in the
hadron physics

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

1. Review of the field theory; Basic process of quantization
2. Review of the field theory; Internal degree of freedom
3. Review of the field theory; Conservation law
4. Examples of the symmetry; Gauge symmetry
5. Examples of the symmetry; Chiral symmetry
6. Hadrons and the symmetry; Nuclear phenomena
7. Hadrons and the symmetry; Isospin symmetry
8. Hadrons and the symmetry; Weak interaction
9. SU(3) symmetry; ''Strange'' phenomena
10. SU(3) symmetry; Strangeness11. SU(3)XSU(3) symmetry; Weak interaction and Parity violation
12. SU(3)XSU(3) symmetry; Chiral symmetry
13. Phenomenological model of Hadrons; Quark model I
14. Phenomenological model of Hadrons; Quark model II
15. Phenomenological model of Hadrons; Skyrme model

It is desirable to check the contents of the last lecture every time. Take the contents of every lesson in a notebook.Checkeach formulas, and/or equations shown in the lecture by yourself so as to understand their meanings correctly.
The grade is evaluated by the attendance and the reports.

Evaluation Method
Attend every lesson seriously.

Comments to Students
G. Reinhardt, “Field quantization”, SpringerI.J.R. Aitchison, “An informal introduction to gauge field theories”

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM12110013

Offering Academic
Year/Semester

2020Year First Semester

Selected Topics in Fundamental Physics ⅠB
SAPI11502
1CreditTeaching Method

LectureMasaki Arima
Lectures on recent topics of fundamental physics are given by experts in other Universities.To acquire basic
knowledge and basic skill about fundamental physics.

To acquire basic knowledge and basic skill about various fields of fundamental physics.

Goal of the Subject

To be announced separately.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Class participation.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

SM12150011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureHigh Energy Physics Ⅰ
SAPL21501
2Credits
Kazuhiro Yamamoto
We review the particle physics, and aim to obtain the basic and advanced knowleges which are necessary to study theparticle phisics.

We aim to obtain the clear understandings of vearious sort of quantum numbers and behavior of particles, while
comparing between the accumulated experimental results for far and the theory which explains them in order tounderstand the particle physics.

The 1st lecture: Review of elementary earticles
The 2nd lecrure: Review of four tyes of forces
The 3rd lecture: Interactions and fields
The 4th lecture: Behavior of particles in the field
The 5th lecture: Invariant principle and conservation low
The 6th lecture: Spin and parity
The 7th lecture: Charge conjugation and time reversal
The 8th lecture: Isospin
The 9th lecture: Hadrons containing heavy quarks
The 10th lecture: Classification of baryons
The 11th lecture: Classification od of mesons
The 12th lecture: Electron-positron pair annihilation process
The 13th lecture: Deep inelastic scattering
The 14th lecture: Interactions between quark
The 15th lecture: Quantum Chromodynamics

The prior leanings are not necessarily required, but the review of the lecture note after the lectures are required.

The score is evaluated the attendance to lectures and the term paper.

Evaluation Method
To be announced separately.

Comments to Students
Reference: “Introduction to High Energy Physics; 4th edition”, D. H. Perkins, Cambridge

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM12160011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureHigh Energy Physics Ⅱ
SAPL21502
2Credits
Yoshihiro Seiya
Reviews on how the weak interactions were understood based on experimental and theoretical developments and werecombined with the electromagnetic interactions to form the Weinberg-Salam theory.Also, the standard model of theelementary particle physics including the strong interactions and beyond are briefly introduced.

Understanding weak interaction phenomenology and basics of the standard model of the elementary particle physics.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

1. Brief history of the elementary particle physics and review of the four forces.
2. Dirac equation. Helicity and spin polarization of Dirac particles.
3. Basics of the quantum field theory. Gauge symmetry.
4. Calculation of cross sections.
5. Weak interactions and quarks. GIM mechanism. Kobayashi-Maskawa mass matrix.
6. Weinberg-Salam theory. Charged, Neutral, electromagnetic current.
7. Higgs particle and spontaneous symmetry breaking.
8. Masses of gauge bosons.
9. Masses of fermions and Kobayashi-Maskawa mass matrix.
10. Production of Higgs particles and detection.
11. Strong interactions. Structure functions of hadrons.
12. QCD corrections of the tructure functions of hadrons.
13. Beyond the standard model of the elementary particle physics.
14. Uncertainty, probability, statistics.
15. Current status of the experimental elementary particle physics.

To be announced separately.

Attendance status, reports, and other overall performance.

Evaluation Method
Announced when necessary.

Comments to Students・”Introduction to High Energy Physics; 4th edition”, D. H. Perkins, Cambridge.・”Quarks and Leptons: An Introductory

Teaching Materials

Remarks1

Course in Modern Particle Physics”, F. Halzen and A. D. Martin, Wiley

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM12170011

2Credits
Yoshiki Tsunesada

To be announced separately.

Goal of the Subject

To be announced separately.

Contents of the
Subject/Subject Plan

To be announced separately.

To be announced separately.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Remarks1

Teaching Method

LectureSAPL21503

Main Theme of the
Subject

Teaching Materials

2020Year First Semester

Cosmic Ray Physics Ⅰ

To be announced separately.

Preparation andReview

Offering Academic
Year/Semester

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

SM12200011

Offering Academic
Year/Semester

2020Year Second Semester

Experimental Physics of Gravitational Waves
SAPL21507
2Credits

Teaching Method

LectureNobuyuki Kanda
This lecture focus on basic knowledge and technical explanation required for the gravitational wave detection
experiment. The lecture also explain physics and scientific prospect with observations of gravitational waves thatradiate from various astronomical objects, e.g. neutron star, black hole, supernova etc.
Students will understand the principle of the detection experiment and the outline of the event search data analysis.
In the introduction, the theoretical background of gravitational waves, potential gravitational wave sources, and thehistory of experiments on gravitational and gravitational waves will be explained. Next, the fundamental principles oflaser interferometer type detectors and the fundamental noise sources will be understood. Advanced explanation ofdata analysis methods and statistical treatment of the gravitational wave events are focus of last half of the lectures.
1. History of gravitational waves and detection experiments, latest observations
2. Gravitational waves and their sources
3. Principle of a detector (1) Resonant antenna
4. Principle of a detector (2) Laser interferometer (free point-mass type)
5. Principle of a detector (3) Response of a laser interferometer, reconstruction of the strain
6. Detector noise (1) Thermal noise
7. Detector noise (2) Seismic noise, laser, electronics
8. Basics of spectrum analysis
9. Signal Detection by the Matched Filter Method (1) Principle and signal to noise ratio
10. Signal Detection by the Matched Filter Method (2) Template bank
11. Hands-on session using open data (1) Event data
12. Hands on session using open data (2) LIGO Algorithmic Library Suite
13. Error propagation and parameter estimation
14. Electromagnetic and neutrino follow-up on gravitational wave events. Other gravitational wave experiments(pulsar timing and space-borne detectors)

Students are expected to prepare for each topic that will be explained in the classPreparation andReviewusing the references introduced there. They are also expected to review the classby submitting reports on a couple of topics explained in the class.
By Reports

Evaluation Method
Students have to learn wider topics, i.e. general relativity, astrophysics, detector instruments, signal processing.

Comments to Students
Blackboard, viewgraphs and printed materials

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

SM12210011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureAstrophysics
SAPL21508
2Credits
Nobuyuki Kanda
Astrophysics and cosmology are described by general relativity in its macroscopic aspects, and by particle physics in
its microscopic aspects. Astronomical observations in multi-wavelengths since the 20th century revealed various
phenomena in the universe, and our general pictures and understandings about the universe have been continuously
updated with improved observational techniques and refined theoretical models. This course deals with the basics ofastrophysics, and discusses the frontier of astrophysics and cosmology, i.e. the recent discoveries, perspectives, longstanding mysteries, and newly recognized puzzles.
We learn about the foundation of cosmology, interactions of elementary particles and gravity in the early universe, thebig bang and inflation model. We explain the modern topics such as dark matter and dark energy. In addition, we will
review the hierarc
1. General Relativity and Expanding Universe
2. Big Bang and Cosmic Microwave Background
3. Cosmological Parameters
4. Cosmological Constant and Dark Energy
5. Large-scale Structure of the Cosmos
6. Galaxy
7. Evolution of Stars
8. Death of Stars (Blackhole, Neutron Star, Supernova)
9. High-Energy Astronomical Phenomenon
10. Dark matter (Astronomical)
11. Dark matter (CDM)
12. Early Universe and Particle Physics
13. Nucleosynthesis
14. Dark Matter
15. Neutrino Astronomy

Students have to study the references and prepare for each item.We pick up some of lecture contents for a report.

We evaluate using a report on the term-end and attendance, questions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM12220013

Offering Academic
Year/Semester

2020Year First Semester

Selected Topics in Astro and High Energy Physics Ⅰ
SAPI21501
1CreditTeaching Method

LectureNobuyuki Kanda
Topics on astrophysics and/or high energy physics are given as an intensive course by an expert from other institution.

Main Theme of the
Subject
Announced when the course is given.

Goal of the Subject

Announced when the course is given.

Contents of the
Subject/Subject Plan

Preparation andReview

Announced when the course is given.

Attendance status and reports.

Evaluation Method
Announced when the course is given.

Comments to Students
Announced when the course is given.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM12250013

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureSelected Topics in Particle Physics Ⅰ
SAPI21504
1CreditEiichi Nakano
In this intensive course, recent topics on particle physics will be lectured by an expert from another university.

Main Theme of the
Subject
To be announced separately.

Goal of the Subject

To be announced separately.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance and reports.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM12280011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureCondensed Matter Physics Ⅰ
SAPL31501
2Credits
Osamu Ishikawa

Main Theme of the
Subject

This course provides the understandings of the electron's behavior of metal, in which atoms are arranged periodically, on
the basis of quantum mechanics, statistical mechanics and electromagnetism which are principal subjects in modern
physics.And by introducing the Fermi liquid theory, it also provides the understandings of the behavior of many particle's
interacting with each other.We will study the outlines of superconductivity in metal and superfluidity in liquid He.

Goal of the Subject

The goals to be accomplished are to understand the electronic physical properties, like the electric resistance, as electron
motions in the lattice which consists of atoms to be arranged periodically and to understand macroscopic properties ofmany partic
Part 1
Part 2
Part 3
Part 4

Contents of the
Subject/Subject Plan

Part 5
Part 6
Part 7
Part 8
Part 9Part 10
Part 11
Part 12
Part 13
Part 14
Part 15

Preparation andReview

Basic properties of conduction electrons (waves in lattice, classical electric conduction and scattering time)(free electron model, periodic boundary condition)(Fermi energy level, Fermi degenerate)(electronic conduction as free electrons, specific heat of electrons, andPauli susceptibility)
Interacting Fermi particles system (Fermi liquid theory and quantum statistical mechanics)(quasiparticle distribution function and energy change of the system)(spin of electron and Landau parameters)(some properties in an equilibrium state; specific heat, magnetic susceptibility,
effective mass, compressibility)
Motion of electrons and transport property (viscosity, thermal conductivity, spin diffusion in Fermi liquid
theory)(Landau quantization)(Hall effect, Quantum Hall effect)(other transport phenomena)
Coherent state
Superconductivity and superfluidity
Review

In advance you should review some relating subjects which you studied in statistical mechanics and quantum mechanics as
an undergraduate.After the class, you should review the contents of a lecture and reflect them on your homework.
We will evaluate the score totally by an evaluation of several homework and a student's attendance record.

Evaluation Method
Comments to

It will be good for a student to master an basic approach of thinking, when considering the motion of electrons of metal.

Students
Reference bookC. Kittel "Introduction of Solid State Physics"

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

SM12290011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureCondensed Matter Physics Ⅱ
SAPL31502
2Credits
Mitsuru Sugisaki
This course is intended to coherently understand various physical processes in materials. In general, condensed matterphysics deals with the large collections of atoms that compose both ordinary and exotic materials. Following
Condensed Matter Physics I, this course provides a survey of electrical, optical, and magnetic properties of matter.

This course is aimed at understanding the origin of magnetism based upon the relativistic electron theory. Themes also
include: ferromagnetism and antiferromagnetism where the electron-electron interaction is important, whileparamagnetism can be understo

1. Electron in a magnetic field; Paramagnetism and diamagnetism
2. Dirac equation
3. Spin–orbit interaction
4. Exchange interaction and Hund's rules
5. Ferromagnetism and antiferromagnetism
6. Magnetic anisotropy and domains
7. Magnon
8. X-ray crystallography
9. Lattice vibration and phonon 1: acoustic and optical modes
10. Lattice vibration and phonon 2: second quantization
11. Density of states; Lattice heat capacity; Anharmonic potential
12. Drude model; Reflection and refraction
13. Plasmon, exciton, polaron, and polariton
14. Nonlinear optical response

Prerequisite: fundamentals of quantum mechanics, statistical mechanics, and electromagnetism.Students are expected
to pursue extended projects provided at the class.
Grading scheme:Class participation + Assignments + Research Paper Report

Evaluation Method
Preferred prerequisite: Condensed Matter Physics I

Comments to Students
J.R. Hook and H.E. Hall, "Solid State Physics, 2nd Edition", Chichester, 1995, John Wiley & Sons.

Teaching Materials

Remarks1

Exclusion: students who have the credits of Condensed Matter Physics 2 for undergraduate students, offered fromFaculty of Science, OCU.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM12310011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureQuantum Statistical Physics Ⅱ
SAPL31504
2Credits
Akira Oguri,This course introcues the theory for quantum statistical physics of many-particle systems.

Main Theme of the
Subject
The aim of this course is to help students ascquire the basic notions of condensed matter physics, especially electronic
properties at low energies.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

1. Introduction
2. Density matrix in the quantum statistical physics
3. Perturbation expansion for thermal averages
4. Linear response theory
5. Thermal properties of a Fermi gas
6. Magnetic properties of a Fermi gas
7. Second quantization and Green’s function
8. Many-effects and Landau Fermi liquid theory
9. Strongly correlated Fermion systems
10. Mott-Hubbard transition
11. Heisenberg model and related phase transitions
12. Transport properties
13. Superconductivity
14. Kondo effect

To be announced in the class.

Grading will be based on submitted reports and attendance.

Evaluation Method
To be announced in the class.

Comments to Students
To be announced in the class.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

SM12320011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureLow Temperature Physics
SAPL31505
2Credits
Osamu Ishikawa
In modern physics, the condensed matter system at lower temperatures becomes more important.
The condensed matter system is the condensing state that contains many particles.
In this lecture, several quantum mechanical phenomena that are observed in superconducting state and in superfluid
state are explained
Recognizing necessity of quantum mechanics to understand both superconducting state and superfluid state throughstudying these remarkable characteristic phenomena.
Understanding that superconducting state and superfluid state are macroscopic quantum phenomena, behind which
there exists coherent state.
Understanding what order parameter is.
Understanding of anisotropic superfluid and anisotropic superconductor.
1. Discovery of superconductivity and of superfluid: Some characteristic phenomena.
2. Basic property of superconducting state: Theory by London.
3. Coherence length
4. Macroscopic quantum phenomena
5. BCS theory
6. G-L equations describing ordered state: Theory by Ginzburg and Landau
7. Type 1 and Type 2 superconductors
8. Liquid helium: zero point motion and quantum liquid
9. Bose gas and BEC (Bose-Einstein condensation)
10. Lambda transition (Phase transition between normal liquid state and superfluid state)
11. Phonon and roton (Elementary excitation in quantum liquid)
12. Vortex in superfluid
13. Two fluid model
14. Counter flow and critical velocity
15. Anisotropic superfluid and anisotropic superconducting state

Check some key words before the class.
Review the contents learning in the class.
Evaluate the reports at the end of the course.

Evaluation Method
To be announced separately.

Comments to Students
Ref. 「Introduction to superconductivity」; Michael Tinkham

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM12380013

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureSelected Topics in Solid State PhysicsⅡA
SAPI31503
1Credit
Mitsuru Sugisaki
In this intensive course, recent topics on solid sate physics will be lectured by experts from other universities.

Main Theme of the
Subject
Understand the concept of state-of-the-art research on solid state physics.

Goal of the Subject

To be announced separately.

Contents of the
Subject/Subject Plan

Preparation andReview

After the lecture, prepare a report related to the content of the class.

Grading will be given based on attendance and reports.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM12420013

Offering Academic
Year/Semester

2020Year First Semester

Selected Topics in Condensed MatterPhysics ⅡA
SAPI31507
1CreditTeaching Method

LectureOsamu Ishikawa
In this intensive course, recent topics on condensed matter physics will be lectured by lecturers from other universities.

Main Theme of the
Subject
Understand the concept of state-of-the-art research on condensed matter physics.

Goal of the Subject

To be announced separately.

Contents of the
Subject/Subject Plan

Preparation andReview

After the lecture, prepare a report related to the content of the class.

Grading will be given based on attendence and reports.

Evaluation Method
To be annouced separately.

Comments to Students
To be annouced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM12440011

Offering Academic
Year/Semester

2020Year First Semester

Experimental Physics of Cosmic-rays and Elementary ParticlesⅠSAPL21505
2Credits

Teaching Method

LectureEiichi Nakano
The measurement technologies which are necessary for cosmic rays observation and elementary particle experimentare explained.

The aim of this class is to understand foundations and techniques of measuring devices for cosmic rays observation
and an elementary particle experiment.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

The interaction between particle and materials, principles of particle detectors, history of detector developments,
making and usage of detectors and electronics circuits for signal readout are explained. And accelerators and beam
optics are mentioned.
1. interaction between particle and material
2. energy loss (dE/dx)
3. proportional chamber
4. drift chamber
5. Multi Wire Proportional/Drift Chamber (MWPC/MWDC)
6. Micro Pattern Gaseous Detector（MPGD）
7. resistive plate chamber, Geiger-Muler counter
8. semi-conductor detector
9. Cherenkov detector, transition radiation detector
10. scintillation counter
11. calorimeter, neutron detector
12. muon detector, neutrino detector
13. electronics circuit I (analogue)
14. electronics circuit II (transfer circuit, digital)
15. accelerator

The term paper is necessary

The grade is evaluated based on lecturing reply and term paper.

Evaluation Method
It is desirable that electromagnetism and special theory of relativity are understood.

Comments to Students
Reference : Introduction to experimental particle physics, R.C. Fernow, Cambridge university press (1986)

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number

SM12460011

Main Lecturer

Shin Inouye

Contents of the
Subject/Subject Plan

Preparation andReview

Teaching Method

LectureSAPL31507
2Credits

Goal of the Subject

2020Year Second Semester

Atomic Physics

Credits

Main Theme of the
Subject

Offering Academic
Year/Semester

Can you explain the behavior of two-level atom illuminated by light using a spin and an oscillating magnetic field? Is ittrue that the absorption cross section of two-level atom is on the order of wavelength squared? The main theme of thislecture is to understand the interaction of light and atoms fully so that one can answer such important questions.

Using the behavior of a spin, understand the precession, Rabi oscillation, and adiabatic transfer. Following thediscussion of Einstein, review the concept of spontaneous and stimulated emissions. Understand the origin of large
absorption cross section on resonance. Introduce the density matrix for describing the time evolution of a two-levelatom. Watch the edX program on the same subject, and obtain skills for discussing such scientific topics.
1. The hydrogen atom
2. Fine Structure
3. The Lamb shift
4. Q-value of a resonance
5. Linewidth
6. Rabi oscillation
7. Adiabatic transfer
8. The interaction of atoms with light
9. Einstein's A and B coefficients
10. Spontaneous emission
11. The optical absorption cross section
12. The saturation intensity
13. The selection rules
14. Three-level system
15. Laser cooling and Bose-Einstein condensation

Review of lecture contents. Instructions for video materials will be given during the class.

Evaluations will be given based on exams, reports, and contributions to discussions during the class.

Evaluation Method"Atomic and Optical Physics" offered at edX web site will be used during the lecture. Discussions will be conducted inComments to Students Japanese.
C.J.Foot, "Atomic Physics" (ISBN: 0198506961), edX "Atomic and Optical Physics"

Teaching Materials

Remarks1

Please refer to the web page <http://www.sci.osaka-cu.ac.jp/phys/laser/> for updates.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM13060011

2Credits
Hiroshi Itoyama

To be announced separately.

Goal of the Subject

To be announced separately.

Contents of the
Subject/Subject Plan

To be announced separately.

To be announced separately.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Remarks1

Teaching Method

Lecture／Seminar

SAMPL1504

Main Theme of the
Subject

Teaching Materials

2020Year First Semester

Mathematical Physics Ⅰ

To be announced separately.

Preparation andReview

Offering Academic
Year/Semester

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM13070011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureMathematical Physics Ⅱ
SAMPL1505
2Credits
Sanefumi Moriyama
This class aims to study non-abelian gauge theory, which is utilized to describe modern particle physics.

Main Theme of the
Subject
After recapitulating path integral quantization and renormalization group, we study gauge fixing in quantization andasymptotic freedom.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

1. gauge principle
2. non-abelian gauge symmetry
3. Yang-Mills theory
4. path integral quantization
5. gauge fixing
6. BRST symmetry
7. Faddeev-Popov gauge fixing
8. renormalization group
9. beta function
10. asymptotic freedom
11. conformal symmetry
12. quantum anomaly
13. anomalous dimension
14. Wess-Zumino condition

Students are expected to read the textbook carefully in advance and lead or join actively the discussions.

The evaluation is based on the activity in the study.

Evaluation Method
This class aims to deepen the contents introduced in Mathematical Physics I. The contents are subject to change

Comments to Students depending on the study progress of students. Students should contact in advance.
Michael E. Peskin, Daniel V. Schroeder, An Introduction to Quantum Field Theory, Perseus Books

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM13080011

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

Lecture／Seminar

Mathematical Physics Ⅲ
SAMPL1506
2Credits
Hideki Ishihara
Invariance and covariance in physics.

Main Theme of the
Subject
To understand that invariance and covariance are most fundamental concepts for costruction of theories in physics.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

1. Spacetime and manifold
2. Vectors and 1-forms; basis of general relativity
3. Metric space
4. Parallel transport and covariant derivative
5. Geodesic equations
6. Lie derivative
7. Isometry and Killing vector
8. Symmetry of spacetime and conservation law
9. Canonical formalism of relativistic particles
10. Mechanics of Nambu-Goto string
11. Mechanical system with constraint conditions
12. Constraint and symmetry
13. First and second class of constraint
14. Symmetry of general relativity

To be announced in the lecture.

A grade for class participation.

Evaluation Method
To be announced in the lecture.

Comments to Students
To be announced in the lecture.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM13090011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureMathematical Physics Ⅳ
SAMPL1507
2Credits
Sanefumi Moriyama
This class aims to study supersymmetry which is a major attempt beyond the standard model.

Main Theme of the
Subject
After studying four-dimensional supersymmetry algebra and its representation, we study supersymmetric multiplets
and supersymmetric theories from the viewpoint of superspace.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

1. bosons and fermions
2. Poincare symmetry
3. Coleman-Mandula theorem
4. four-dimensional supersymmetry algebra
5. supersymmetry transformation
6. chiral multiplet
7. vector multiplet
8. superspace, superfield
9. chiral superfield
10. vector superfield
11. extended supersymmetry
12. supersymmetric algebra in other dimensions
13. maximally supersymmetric theories
14. supergravity

Students are expected to read the textbook carefully in advance and lead or join actively the discussions.

The evaluation is based on the activity in the study.

Evaluation Method
This class aims to deepen the contents introduced in Mathematical Physics I. The contents are subject to change

Comments to Students depending on the study progress of students. Students should contact in advance.
This class aims to deepen the contents introduced in Mathematical Physics I. The contents are subject to change

Teaching Materials

Remarks1

depending on the study progress of students. Students should contact in advance.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM13120013

Offering Academic
Year/Semester

2020Year First Semester

Selected Topics in Mathematical Physics Ⅱ
SAMPI1506
1CreditTeaching Method

LectureKen-ichi Nakao
Experts from other universities explain recent hot topics in mathematical physics.

Main Theme of the
Subject
This class aims to help students to acquire knowledge and methods in various areas of mathematical physics.

Goal of the Subject

It will be announced separately. Contact for more information.

Contents of the
Subject/Subject Plan

Preparation andReview

It will be announced separately.

Based on attendance record and homework.

Evaluation Method
It will be announced separately.

Comments to Students
It will be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM13140011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureMathematical Sciences A
SAMPL1501
2Credits
Mitsuyasu Hashimoto
Recent topics on representation theory of quantum groups are discussed.

Main Theme of the
Subject
Study recent topics on representation theory of quantum groups and understand research results.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview

Recent topics and research results on representation theory of quantum groups are introduced.
1. Introduction
2. Definition of the quantized enveloping algebra
3. Structure as a Hopf algebra
4. Representation theory of Uq(sl2)
5. Representation theory of the quantized enveloping algebra (1): Highest weight module
6. Representation theory of the quantized enveloping algebra (2): Complete reducibility
7. Definition of the crystal basis
8. Existence of a crystal basis
9. Finite-dimensional modules of quantum affine algebras
10. Definition of the Kirillov-Reshetikhin module
11. Properties of Kirillov-Reshetikhin modules
12. Crystal bases of Kirillov-Reshetikhin modules (1): Existence
13. Crystal bases of Kirillov-Reshetikhin modules (2): Structure
14. Introduction of the Kerov-Kirillov-Reshetikhin type bijection
15. Summary and unsolved problems

Further studies are expected to read original papers and understand them on introduced topics and research results.

Report, etc.

Evaluation Method
Will be announced separately.

Comments to Students
Resumes will be delivered.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Offering Academic
Year/Semester

2020Year First Semester

Teaching Method

LectureSM13150011
Mathematical Sciences B
SAMPL1502
2Credits
Hideyuki Ishi

The Lie group SU(1,1) acts on the unit disk in the complex plane transitively as linear fractional transformations.
Because of this group action,we can develop rich geometry and analysis over the unit disk. Bounded symmetricdomains and bounded homogeneou

Through observations of geometry over homogeneous spaces, students will learn how to make use of Lie groups andLie algebras as tools to study mathematical objects.

Goal of the Subject

Contents of the
Subject/Subject Plan

Preparation andReview[1] Introduction and overview[2] Geometry of classical domains (type I)[3] Geometry of classical domains (type II and III)
[4] Geometry of classical domains (type IV)[5] Borel embeddings of bounded symmetric domains[6] Harish-Chandra realizations of bounded symmetric domains[7] Siegel domains and Cayley transforms[8] Examples of symmetric Siegel domains[9] Bounded homogeneous domains[10] Normal j-algebras[11] Examples of homogeneous Siegel domains[12] Bergman mappings and representative domains[13] Equivariant imbeddings of homogeneous Siegel domains[14] Matrix realizations of homogeneous Siegel domains[15] Toward a classification of bounded homogeneous domains

Students attending this lecture are expected to read original papers on the topics introduced and to understand them
deeply.
Report etc..

Evaluation Method
Contact the lecturer before taking the registration for this lecture.

Comments to Students
Related literatures are introduced in the lecture.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM13160011

Offering Academic
Year/Semester

2020Year Second Semester

Teaching Method

LectureMathematical Sciences C
SAMPL1503
2Credits
Masamichi Yoshida
This course serves advanced complex analysis such as the uniformization theorem.

Main Theme of the
Subject
Students will be accustomed to dealing with basic complex analysis.

Goal of the Subject

I. Introduction for basic complex analysis
II. Harmonic functions
III. Analytic continuation and Riemann surfaces
IV. Conformal mappings

Contents of the
Subject/Subject Plan

Preparation andReviewStudents are expected to review after every lecture for understanding technical terms and theorems in each lecture.

Reports mainly. Fulfill the omitted discussion and computations in the lecture.

Evaluation Method
Required knowledge is the courses Complex Analysis I and Complex Analysis II or corresponding knowledge.

Comments to Students
Elias M. Stein & Rami Shakarchi: Complex Analysis (Princeton Lectures in Analysis), Princeton University Press, 2003.

Teaching Materials

Remarks1

L. V. Ahlfors: Complex Analysis, McGraw-Hill, 1966.

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM14030013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Mathematical Structures（M1）
SAMEX1501
4Credits

Teaching Method

SeminarMasaaki Furusawa
To present and to discuss some selected recent research papers in the theory of mathematical structures in the seminarand to report progress on own research.

To deepen and to broaden the understanding of some areas in the theory of mathematical structures.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM14040013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Mathematical Structures（M2）
SAMEX1601
4Credits

Teaching Method

SeminarMasaaki Furusawa
To present and to discuss some selected recent research papers in the theory of mathematical structures in the seminarand to report progress on own research.

To deepen and to broaden the understanding of some areas in the theory of mathematical structures.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM14050013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Mathematical Analysis（M1）
SAMEX1502
4Credits

Teaching Method

Seminar

Futoshi Takahashi
To present and to discuss some selected recent research papers in mathematical analysis in the seminar and to reportprogress on own research.

To deepen and to broaden the understanding of some areas in mathematical analysis.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM14060013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Mathematical Analysis（M2）
SAMEX1602
4Credits

Teaching Method

Seminar

Futoshi Takahashi
To present and to discuss some selected recent research papers in mathematical analysis in the seminar and to reportprogress on own research.

To deepen and to broaden the understanding of some areas in mathematical analysis.

Goal of the Subject

To be assigned later.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the presentations and the participations in the seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

SM14070013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Fundamental Physics（M1）
SAPE11501
4Credits

Teaching Method

SeminarNobuhito Maru
Review and discuss journal articles on recent research results on fundamental physics.Report on progress of ones own
research projects and have a group discussion.

In addition to developing the understanding of each specialized topic in the field of fundamental physics,we aim toacquire a wide range of knowledge applicable to entire fieldof physics. If necessary, read research papers and solve
problem sets.

The plan of class will be announced by each instructor.

Contents of the
Subject/Subject Plan

Preparation andReview

It will be announced in the class.

The grade evaluation is based on attendance, report and discussion in a seminar.

Evaluation Method
It will be announced in the class.

Comments to Students
It will be announced in the class.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

SM14080013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Fundamental Physics（M2）
SAPE11601
4Credits

Teaching Method

SeminarNobuhito Maru
Review and discuss journal articles on recent research results on fundamental physics.Report on progress of ones own
research projects and have a group discussion.

In addition to developing the understanding of each specialized topic in the field of fundamental physics,we aim toacquire a wide range of knowledge applicable to entire fieldof physics. If necessary, read research papers and solve
problem sets.

The plan of class will be announced by each instructor.

Contents of the
Subject/Subject Plan

Preparation andReview

It will be announced in the class.

The grade evaluation is based on attendance, report and discussion in a seminar.

Evaluation Method
It will be announced in the class.

Comments to Students
It will be announced in the class.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM14090013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Astro and High Energy Physics（M1）
SAPE21501
4Credits

Teaching Method

SeminarYoshiki Tsunesada
Review and discuss journal articles on recent research results on astrophysics and high energy physics. Report on
progress of ones own research projects and have a group discussion.

In addition to developing the understanding of each specialized topic in the field of astrophysics and high energy
physics, we aim to acquire a wide range of knowledge applicable to entire field of physics.

Goal of the Subject

Read research papers and solve problem sets.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance, reports, and discussions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM14100013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Astro and High Energy Physics（M2）
SAPE21601
4Credits

Teaching Method

SeminarYoshiki Tsunesada
Review and discuss journal articles on recent research results on astrophysics and high energy physics. Report on
progress of ones own research projects and have a group discussion.

In addition to developing the understanding of each specialized topic in the field of astrophysics and high energy
physics, we aim to acquire a wide range of knowledge applicable to entire field of physics.

Goal of the Subject

Read research papers and solve problem sets.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance, reports, and discussions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

SM14110013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Condensed Matter Physics（M1）
SAPE31501
4Credits

Teaching Method

SeminarMitsuru Sugisaki
Review and discuss journal articles on recent research results on condensed matter physics. Report on progress of ones
own research projects and have a group discussion.

In addition to developing the understanding of each specialized topic in the field of condensed matter physics, we aim
to acquire a wide range of knowledge applicable to entire field of physics. If necessary, read research papers and solve
problem sets.

To be assigned by faculty.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance, reports, and discussions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

SM14120013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Exercises in Condensed Matter Physics（M2）
SAPE31601
4Credits

Teaching Method

SeminarMitsuru Sugisaki
Review and discuss journal articles on recent research results on condensed matter physics. Report on progress of ones
own research projects and have a group discussion.

In addition to developing the understanding of each specialized topic in the field of condensed matter physics,we aim
to acquire a wide range of knowledge applicable to entire field of physics. If necessary, read research papers and solve
problem sets.

To be assigned by faculty.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance, reports, and discussions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM14130013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Master's Thesis of Mathematics I
SAARC1501
6Credits

Teaching Method

Seminar／Laboratory

Hiroshi Tamaru
Fundamental theory of each specialty.

Main Theme of the
Subject
To understand systematically fundamentals of the theory which is necessary to solve the research problem for the
master thesis.

Goal of the Subject

Each student is expected to gain the systematic understanding of fundamentals of the theory to solve the research
problem for the master thesis. For that purpose, each student is assigned reading materials and is expected to formulate
and to solve the research problem for the master thesis under the guidance of his or her adviser.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the presentations and participations in his or her seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer

SM14140013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Master's Thesis of Mathematics II
SAARC1601
6Credits

Teaching Method

Seminar／Laboratory

Hiroshi Tamaru
Fundamental theory of each specialty.

Main Theme of the
Subject
To understand systematically fundamentals of the theory which is necessary to solve the research problem for the
master thesis.

Goal of the Subject

Each student is expected to gain the systematic understanding of fundamentals of the theory to solve the research
problem for the master thesis. For that purpose, each student is assigned reading materials and is expected to formulate
and to solve the research problem for the master thesis under the guidance of his or her adviser.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned later.

The grade is given based on the presentations and participations in his or her seminar.

Evaluation Method
To be communicated later.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM14150013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Master's Thesis of Physics I
SAARC1501
6Credits

Teaching Method

Seminar／Laboratory

Ken-ichi Nakao
Acquiring the systematic knowledge and techniques about theories and experiments leading to the writing of the
Master's thesis.

We aim to acquire systematic knowledge and techniques about theories and experiments leading to the writing of the
Master's thesis.

Goal of the Subject

Discuss research program leading to the writing of the Master's thesis. Special emphasis will be placed on encouraging
students to make research plans, to read textbooks and journal articles, and to acquire the experimental skills.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance, reports, and discussions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)
Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

SM14160013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

Advanced Research Course for Master's Thesis of Physics II
SAARC1601
6Credits

Teaching Method

Seminar／Laboratory

Ken-ichi Nakao
Acquiring the systematic knowledge and techniques about theories and experiments leading to the writing of the
Master's thesis.

We aim to acquire systematic knowledge and techniques about theories and experiments leading to the writing of the
Master's thesis.

Goal of the Subject

Discuss research program leading to the writing of the Master's thesis. Special emphasis will be placed on encouraging
students to make research plans, to read textbooks and journal articles, and to acquire the experimental skills.

Contents of the
Subject/Subject Plan

Preparation andReview

To be announced separately.

Grading will be given based on attendance, reports, and discussions in the class.

Evaluation Method
To be announced separately.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SM40020013

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

International Advanced Research Coursefor Master's Thesis of Science 2(Mathmatics)

Subject Number
Credits
Main Lecturer

1CreditTeaching Method

LectureHiroshi Tamaru
International research experience through research activities and scholarly exchanges abroad.

Main Theme of the
Subject
Each student is expected not only to make advancements in research towards the master thesis, but also to participate
in the international scientific community.

Goal of the Subject

Each student will be advised on where to go and what to do there and also on how to give a research presentation in
English, by the adviser. After returning to Japan, it is expected to present a research report.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned individually. Also each student is expected to seek research problems actively.

The grade is assigned based on the advancements in research and also on the improvements of the skill in research

Evaluation Method

presentation and scientific communication in the international setting.
It is required to consult the adviser before registering this course.

Comments to Students
To be assigned later.

Teaching Materials

Remarks1

Subject Code
Subject
Name(English)

SM40020023

Offering Academic
Year/Semester

2020Year First Semester,
2020Year Second Semester

International Advanced Research Coursefor Master's Thesis of Science 2(Physics)

Subject Number
Credits
Main Lecturer
Main Theme of the
Subject

Goal of the Subject

1CreditTeaching Method

LectureKen-ichi Nakao
Students are expected to experience research in international fields through research activities and academic exchanges
outside Japan.

Through research activities outside Japan, we aim to make progress in research plans of the Master's thesis, to achieve
research goals, and to participate in international scientific communities of students and researchers in each research
field.

The university or research institute to be dispatched and research plans will be determined through discussion with thesupervisor. Encourage students to make research proposal and plan, and to acquire the presentation of research (inEnglish) or experimental skills. After returning to Japan, research results are to be reported.

Contents of the
Subject/Subject Plan

Preparation andReview

To be assigned by faculty. In addition, students are encouraged to make research subjects by oneself and to study actively
the subject before and after the project.
Grading will be given based on research results and progress of research. Improvement of overseas presentation and

Evaluation Method

communication skills is also confirmed.
Regarding international research plans, etc., consult with the supervisor before registering for the course.

Comments to Students
To be announced separately.

Teaching Materials

Remarks1